〈a, b | u1=v1, u2=v2〉where |u1| + |v1| + |u2| + |v2| ≤ 11This enumeration has 28551 instances in total, after filtering out instances that are trivially isomorphic or anti-isomorphic to those that appeared previously, by some combination of permuting generators, permuting relations, and reversing relations.
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| Length: | Presentation: |
|---|---|
| 10 | 〈a, b | aaa=a, abba=bb〉 |
| 11 | 〈a, b | aaba=bab, bbbb=1〉 |
| 11 | 〈a, b | abab=baa, bbbb=1〉 |
| 11 | 〈a, b | baab=aaa, bbbb=1〉 |
| 11 | 〈a, b | baab=aa, bbbb=b〉 |
| 11 | 〈a, b | baa=aab, bab=aa〉 |
| 11 | 〈a, b | bab=aaa, bbb=bb〉 |
| 11 | 〈a, b | aaa=aa, bbabb=a〉 |
| 11 | 〈a, b | aab=aa, bbabb=a〉 |
| 11 | 〈a, b | aba=aa, bbabb=a〉 |
| 11 | 〈a, b | aba=aa, baa=aab〉 |
| 11 | 〈a, b | aaaa=1, ababba=b〉 |
| 11 | 〈a, b | aaaa=1, ababb=ba〉 |
| 11 | 〈a, b | aaaa=1, abbba=bb〉 |
| 11 | 〈a, b | aaa=a, abba=bbb〉 |
| 11 | 〈a, b | aba=b, abbb=bbb〉 |
| 11 | 〈a, b | aba=b, babb=bbb〉 |
| 11 | 〈a, b | aba=b, bbbb=bbb〉 |
| 11 | 〈a, b | aaa=1, ababbba=b〉 |
| 11 | 〈a, b | aaa=1, ababbb=ba〉 |
| 11 | 〈a, b | aaa=1, abbba=bab〉 |
| 11 | 〈a, b | aaa=1, babbb=aba〉 |
| 11 | 〈a, b | aa=1, abbbab=bbb〉 |
| 11 | 〈a, b | aa=1, babbb=bbba〉 |
| Length: | Presentation: | Description: | Related: |
|---|---|---|---|
| 11 | 〈a, b | aaaba=b, bbbbb=1〉 | Finite non-Abelian group with 1220 elements | |
| 11 | 〈a, b | aaab=ba, bbbbb=1〉 | Finite non-commutative monoid with 1215 elements | |
| 10 | 〈a, b | aaa=1, abbbba=b〉 | Finite non-commutative monoid with 1083 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=1, bbbb=aba〉 | Finite non-commutative monoid with 1083 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=1, bbabb=aba〉 | Finite non-commutative monoid with 1083 elements | |
| 11 | 〈a, b | aaaa=1, abbbb=ba〉 | Finite non-commutative monoid with 1024 elements | |
| 11 | 〈a, b | aaaa=1, babbbb=a〉 | Finite non-Abelian group with 1020 elements | |
| 11 | 〈a, b | aaa=1, bababbb=a〉 | Finite non-Abelian group with 960 elements | |
| 11 | 〈a, b | aaaa=1, abbab=ba〉 | Finite non-commutative monoid with 684 elements | |
| 11 | 〈a, b | aaa=1, abbbab=ba〉 | Finite non-commutative monoid with 660 elements | |
| 10 | 〈a, b | abba=b, aaaaa=1〉 | Finite non-commutative monoid with 605 elements | |
| 10 | 〈a, b | aba=bb, aaaaa=1〉 | Finite non-commutative monoid with 605 elements | |
| 11 | 〈a, b | babab=a, bbbbb=1〉 | Finite non-commutative monoid with 605 elements | |
| 11 | 〈a, b | bab=aba, aaaaa=1〉 | Finite non-commutative monoid with 605 elements | |
| 11 | 〈a, b | aa=1, abbbba=bab〉 | Finite non-commutative monoid with 500 elements | 2 isomorphic |
| 11 | 〈a, b | aaaa=1, ababbbb=1〉 | Finite non-Abelian group with 480 elements | 3 isomorphic |
| 11 | 〈a, b | aaa=1, ababbbbb=1〉 | Finite non-Abelian group with 432 elements | 3 isomorphic |
| 11 | 〈a, b | aab=ba, bbbbbb=1〉 | Finite non-commutative monoid with 384 elements | |
| 11 | 〈a, b | aaba=b, bbbbbb=1〉 | Finite non-Abelian group with 378 elements | |
| 11 | 〈a, b | aaa=1, babbbbb=a〉 | Finite non-Abelian group with 378 elements |
| Length: | Presentation: | Description: | Related: |
|---|---|---|---|
| 4 | 〈a, b | aa=1, ab=1〉 | Isomorphic to ℤ2 | 1990 isomorphic |
| 4 | 〈a, b | aa=1, bb=1〉 | Infinite non-Abelian group | 110 isomorphic |
| 4 | 〈a, b | ab=1, ba=1〉 | Isomorphic to ℤ | 601 isomorphic |
| 5 | 〈a, b | aa=a, ab=1〉 | Isomorphic to the trivial group | 2030 isomorphic |
| 5 | 〈a, b | aa=a, bb=1〉 | Infinite non-commutative monoid | |
| 5 | 〈a, b | aa=b, ab=1〉 | Isomorphic to ℤ3 | 2029 isomorphic |
| 5 | 〈a, b | aa=b, bb=1〉 | Isomorphic to ℤ4 | 1419 isomorphic |
| 5 | 〈a, b | ab=a, bb=1〉 | Infinite non-commutative monoid | |
| 5 | 〈a, b | aa=1, aaa=1〉 | Infinite commutative monoid | 98 isomorphic |
| 5 | 〈a, b | aa=1, bbb=1〉 | Infinite non-Abelian group | 146 isomorphic |
| 6 | 〈a, b | ab=aa, bb=1〉 | Finite non-commutative monoid with 6 elements | 22 isomorphic |
| 6 | 〈a, b | ba=ab, bb=1〉 | Infinite commutative monoid | 17 isomorphic |
| 6 | 〈a, b | aaa=1, abb=1〉 | Isomorphic to ℤ6 | 1373 isomorphic |
| 6 | 〈a, b | aaa=1, bbb=1〉 | Infinite non-Abelian group | 22 isomorphic |
| 6 | 〈a, b | aa=a, bbb=1〉 | Infinite non-commutative monoid | 11 isomorphic |
| 6 | 〈a, b | aa=b, abb=1〉 | Isomorphic to ℤ5 | 1132 isomorphic |
| 6 | 〈a, b | ab=a, bbb=1〉 | Infinite non-commutative monoid | 12 isomorphic |
| 6 | 〈a, b | aa=a, ab=a〉 | Infinite non-commutative monoid | 203 isomorphic, 18 anti-isomorphic |
| 6 | 〈a, b | aa=a, ab=b〉 | Infinite non-commutative monoid | 5 isomorphic |
| 6 | 〈a, b | aa=a, bb=a〉 | Finite commutative monoid with 4 elements | 37 isomorphic |
| 6 | 〈a, b | aa=a, bb=b〉 | Infinite non-commutative monoid | |
| 6 | 〈a, b | aa=b, ab=a〉 | Finite commutative monoid with 3 elements | 61 isomorphic |
| 6 | 〈a, b | aa=b, ab=b〉 | Finite commutative monoid with 3 elements | 23 isomorphic |
| 6 | 〈a, b | aa=b, bb=a〉 | Finite commutative monoid with 4 elements | 72 isomorphic |
| 6 | 〈a, b | ab=a, ba=a〉 | Infinite commutative monoid | 34 isomorphic |
| 6 | 〈a, b | ab=a, ba=b〉 | Finite non-commutative monoid with 3 elements | 61 isomorphic |
| 6 | 〈a, b | aa=1, aaaa=1〉 | Infinite non-commutative monoid | 42 isomorphic |
| 6 | 〈a, b | aa=1, abab=1〉 | Infinite non-Abelian group | 63 isomorphic |
| 6 | 〈a, b | aa=1, bbbb=1〉 | Infinite non-Abelian group | 46 isomorphic |
| 6 | 〈a, b | ab=1, aabb=1〉 | Infinite non-commutative monoid | 108 isomorphic |
| 6 | 〈a, b | aa=1, abb=b〉 | Finite non-commutative monoid with 6 elements | 30 isomorphic |
| 6 | 〈a, b | aa=1, bab=b〉 | Infinite non-commutative monoid | 19 isomorphic |
| 6 | 〈a, b | aa=1, bbb=b〉 | Infinite non-commutative monoid | 23 isomorphic |
| 7 | 〈a, b | aaa=a, bbb=1〉 | Infinite non-commutative monoid | |
| 7 | 〈a, b | aaa=b, abb=1〉 | Isomorphic to ℤ7 | 763 isomorphic |
| 7 | 〈a, b | aaa=b, bbb=1〉 | Isomorphic to ℤ9 | 562 isomorphic |
| 7 | 〈a, b | aab=a, bbb=1〉 | Finite non-commutative monoid with 12 elements | 8 isomorphic, 12 anti-isomorphic |
| 7 | 〈a, b | aba=a, bbb=1〉 | Infinite non-commutative monoid | |
| 7 | 〈a, b | bab=a, bbb=1〉 | Infinite non-commutative monoid | 11 isomorphic |
| 7 | 〈a, b | ab=aa, bbb=1〉 | Finite non-commutative monoid with 12 elements | 9 isomorphic |
| 7 | 〈a, b | ba=ab, aaa=1〉 | Infinite commutative monoid | 11 isomorphic |
| 7 | 〈a, b | ab=aa, ba=a〉 | Infinite non-commutative monoid | |
| 7 | 〈a, b | ab=aa, ba=b〉 | Finite non-commutative monoid with 4 elements | 8 isomorphic, 6 anti-isomorphic |
| 7 | 〈a, b | ab=aa, bb=a〉 | Finite commutative monoid with 4 elements | 16 isomorphic |
| 7 | 〈a, b | ab=aa, bb=b〉 | Finite non-commutative monoid with 6 elements | |
| 7 | 〈a, b | ba=ab, bb=b〉 | Infinite commutative monoid | 8 isomorphic |
| 7 | 〈a, b | aaa=1, abab=1〉 | Infinite non-Abelian group | 28 isomorphic |
| 7 | 〈a, b | aaa=1, bbbb=1〉 | Infinite non-Abelian group | 15 isomorphic |
| 7 | 〈a, b | aab=1, bbbb=1〉 | Isomorphic to ℤ8 | 727 isomorphic |
| 7 | 〈a, b | aa=a, bbbb=1〉 | Infinite non-commutative monoid | 6 isomorphic |
| 7 | 〈a, b | ab=a, bbbb=1〉 | Infinite non-commutative monoid | 6 isomorphic |
| 7 | 〈a, b | aa=a, aaa=a〉 | Infinite non-commutative monoid | 31 isomorphic |
| 7 | 〈a, b | aa=a, aaa=b〉 | Finite commutative monoid with 2 elements | 46 isomorphic |
| 7 | 〈a, b | aa=a, aba=a〉 | Infinite non-commutative monoid | 45 isomorphic |
| 7 | 〈a, b | aa=a, aba=b〉 | Infinite commutative monoid | 8 isomorphic |
| 7 | 〈a, b | aa=a, abb=a〉 | Infinite non-commutative monoid | 23 isomorphic, 17 anti-isomorphic |
| 7 | 〈a, b | aa=a, abb=b〉 | Finite non-commutative monoid with 4 elements | 14 isomorphic |
| 7 | 〈a, b | aa=a, bab=a〉 | Infinite commutative monoid | 100 isomorphic |
| 7 | 〈a, b | aa=a, bab=b〉 | Infinite non-commutative monoid | 4 isomorphic |
| 7 | 〈a, b | aa=a, bbb=a〉 | Finite commutative monoid with 6 elements | 49 isomorphic |
| 7 | 〈a, b | aa=a, bbb=b〉 | Infinite non-commutative monoid | |
| 7 | 〈a, b | aa=b, abb=a〉 | Finite commutative monoid with 5 elements | 71 isomorphic |
| 7 | 〈a, b | aa=b, abb=b〉 | Finite commutative monoid with 5 elements | 43 isomorphic |
| 7 | 〈a, b | aa=b, bbb=a〉 | Finite commutative monoid with 6 elements | 61 isomorphic |
| 7 | 〈a, b | aa=b, bbb=b〉 | Finite commutative monoid with 6 elements | 55 isomorphic |
| 7 | 〈a, b | ab=a, aaa=a〉 | Infinite non-commutative monoid | 105 isomorphic |
| 7 | 〈a, b | ab=a, abb=a〉 | Infinite non-commutative monoid | 68 isomorphic |
| 7 | 〈a, b | ab=a, baa=a〉 | Infinite commutative monoid | 168 isomorphic |
| 7 | 〈a, b | ab=a, baa=b〉 | Finite non-commutative monoid with 5 elements | 43 isomorphic |
| 7 | 〈a, b | ab=a, bba=a〉 | Infinite non-commutative monoid | 24 isomorphic |
| 7 | 〈a, b | ab=a, bbb=b〉 | Infinite non-commutative monoid | |
| 7 | 〈a, b | ab=a, bb=aa〉 | Finite commutative monoid with 4 elements | 17 isomorphic |
| 7 | 〈a, b | ab=b, bb=ab〉 | Infinite non-commutative monoid | 10 isomorphic |
| 7 | 〈a, b | aa=1, bbbbb=1〉 | Infinite non-Abelian group | 47 isomorphic |
| 7 | 〈a, b | aa=1, aaab=b〉 | Infinite non-commutative monoid | 24 isomorphic, 24 anti-isomorphic |
| 7 | 〈a, b | aa=1, aabb=b〉 | Infinite non-commutative monoid | 55 isomorphic |
| 7 | 〈a, b | aa=1, abab=b〉 | Finite non-commutative monoid with 6 elements | 31 isomorphic, 22 anti-isomorphic |
| 7 | 〈a, b | aa=1, abba=b〉 | Finite non-commutative monoid with 8 elements | 46 isomorphic |
| 7 | 〈a, b | aa=1, abbb=b〉 | Finite non-commutative monoid with 10 elements | 51 isomorphic, 34 anti-isomorphic |
| 7 | 〈a, b | aa=1, babb=b〉 | Infinite non-commutative monoid | 24 isomorphic, 18 anti-isomorphic |
| 7 | 〈a, b | aa=1, bbbb=b〉 | Infinite non-commutative monoid | 29 isomorphic |
| 7 | 〈a, b | aa=1, abb=bb〉 | Infinite non-commutative monoid | 25 isomorphic, 17 anti-isomorphic |
| 7 | 〈a, b | aa=1, bab=bb〉 | Infinite non-commutative monoid | 25 isomorphic |
| 7 | 〈a, b | aa=1, bbb=bb〉 | Infinite non-commutative monoid | 29 isomorphic |
| 8 | 〈a, b | aaa=aa, bbb=1〉 | Infinite non-commutative monoid | |
| 8 | 〈a, b | aaa=ab, bbb=1〉 | Finite non-commutative monoid with 21 elements | 6 isomorphic, 9 anti-isomorphic |
| 8 | 〈a, b | aab=aa, bbb=1〉 | Infinite non-commutative monoid | |
| 8 | 〈a, b | aab=ba, bbb=1〉 | Finite non-commutative monoid with 24 elements | 6 isomorphic |
| 8 | 〈a, b | aba=aa, bbb=1〉 | Infinite non-commutative monoid | |
| 8 | 〈a, b | aba=ab, bbb=1〉 | Finite non-commutative monoid with 12 elements | |
| 8 | 〈a, b | aba=bb, bbb=1〉 | Infinite non-Abelian group | 5 isomorphic |
| 8 | 〈a, b | bab=aa, bbb=1〉 | Finite non-commutative monoid with 27 elements | 7 isomorphic |
| 8 | 〈a, b | bab=ab, bbb=1〉 | Infinite non-commutative monoid | 10 isomorphic |
| 8 | 〈a, b | aaaa=1, aabb=1〉 | Infinite non-Abelian group | 23 isomorphic |
| 8 | 〈a, b | aaaa=1, abab=1〉 | Infinite non-Abelian group | 7 isomorphic |
| 8 | 〈a, b | aaaa=1, abbb=1〉 | Isomorphic to ℤ12 | 325 isomorphic |
| 8 | 〈a, b | aaaa=1, bbbb=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 8 | 〈a, b | aabb=1, abab=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 8 | 〈a, b | aabb=1, abba=1〉 | Infinite non-Abelian group | 7 isomorphic |
| 8 | 〈a, b | aabb=1, baba=1〉 | Isomorphic to ℤ2 ⊕ ℤ | 28 isomorphic |
| 8 | 〈a, b | aabb=1, bbaa=1〉 | Infinite non-Abelian group | 3 isomorphic |
| 8 | 〈a, b | abab=1, baba=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 8 | 〈a, b | aaa=a, bbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 8 | 〈a, b | aaa=b, abbb=1〉 | Isomorphic to ℤ10 | 536 isomorphic |
| 8 | 〈a, b | aab=a, abab=1〉 | Infinite non-commutative monoid | 4 isomorphic |
| 8 | 〈a, b | aab=a, bbbb=1〉 | Finite non-commutative monoid with 20 elements | 3 isomorphic, 1 anti-isomorphic |
| 8 | 〈a, b | aab=b, aaaa=1〉 | Infinite non-commutative monoid | |
| 8 | 〈a, b | aba=a, bbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 8 | 〈a, b | aba=b, aaaa=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 8 | 〈a, b | aba=b, aabb=1〉 | Finite non-Abelian group with 8 elements | 28 isomorphic |
| 8 | 〈a, b | aba=b, bbbb=1〉 | Infinite non-Abelian group | 4 isomorphic |
| 8 | 〈a, b | aaa=a, aab=a〉 | Infinite non-commutative monoid | 35 isomorphic |
| 8 | 〈a, b | aaa=a, aab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 8 | 〈a, b | aaa=a, aba=a〉 | Infinite non-commutative monoid | 7 isomorphic |
| 8 | 〈a, b | aaa=a, aba=b〉 | Infinite commutative monoid | 1 isomorphic |
| 8 | 〈a, b | aaa=a, abb=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 8 | 〈a, b | aaa=a, abb=b〉 | Finite non-commutative monoid with 9 elements | 2 isomorphic |
| 8 | 〈a, b | aaa=a, bab=a〉 | Infinite non-commutative monoid | 5 isomorphic |
| 8 | 〈a, b | aaa=a, bab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 8 | 〈a, b | aaa=a, bbb=a〉 | Finite commutative monoid with 9 elements | 48 isomorphic |
| 8 | 〈a, b | aaa=a, bbb=b〉 | Infinite non-commutative monoid | |
| 8 | 〈a, b | aaa=b, aab=b〉 | Finite commutative monoid with 5 elements | 27 isomorphic |
| 8 | 〈a, b | aaa=b, abb=a〉 | Finite commutative monoid with 7 elements | 59 isomorphic |
| 8 | 〈a, b | aaa=b, abb=b〉 | Finite commutative monoid with 7 elements | 44 isomorphic |
| 8 | 〈a, b | aaa=b, bbb=a〉 | Finite commutative monoid with 9 elements | 62 isomorphic |
| 8 | 〈a, b | aab=a, aba=a〉 | Infinite non-commutative monoid | 6 isomorphic |
| 8 | 〈a, b | aab=a, abb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 8 | 〈a, b | aab=a, baa=a〉 | Infinite commutative monoid | 14 isomorphic |
| 8 | 〈a, b | aab=a, baa=b〉 | Finite non-commutative monoid with 5 elements | 8 isomorphic |
| 8 | 〈a, b | aab=a, bab=a〉 | Infinite commutative monoid | 41 isomorphic |
| 8 | 〈a, b | aab=a, bab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 8 | 〈a, b | aab=a, bba=a〉 | Infinite non-commutative monoid | 9 isomorphic |
| 8 | 〈a, b | aab=a, bba=b〉 | Infinite non-commutative monoid | 4 isomorphic |
| 8 | 〈a, b | aab=b, aba=a〉 | Finite non-commutative monoid with 5 elements | 8 isomorphic |
| 8 | 〈a, b | aab=b, aba=b〉 | Infinite commutative monoid | 10 isomorphic |
| 8 | 〈a, b | aab=b, abb=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 8 | 〈a, b | aab=b, baa=b〉 | Infinite non-commutative monoid | 3 isomorphic |
| 8 | 〈a, b | aab=b, bab=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 8 | 〈a, b | aab=b, bab=b〉 | Infinite non-commutative monoid | 4 isomorphic |
| 8 | 〈a, b | aab=b, bba=a〉 | Infinite non-commutative monoid | 4 isomorphic |
| 8 | 〈a, b | aba=a, bab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 8 | 〈a, b | aba=b, bab=a〉 | Finite non-commutative monoid with 9 elements | 3 isomorphic |
| 8 | 〈a, b | ab=aa, bbbb=1〉 | Finite non-commutative monoid with 20 elements | 1 isomorphic |
| 8 | 〈a, b | ba=ab, aaaa=1〉 | Infinite commutative monoid | 2 isomorphic |
| 8 | 〈a, b | bb=aa, abab=1〉 | Finite non-Abelian group with 16 elements | 4 isomorphic |
| 8 | 〈a, b | ab=aa, baa=b〉 | Finite non-commutative monoid with 6 elements | 4 isomorphic |
| 8 | 〈a, b | ab=aa, bba=a〉 | Infinite non-commutative monoid | 4 isomorphic |
| 8 | 〈a, b | ab=aa, bbb=a〉 | Finite commutative monoid with 6 elements | 46 isomorphic |
| 8 | 〈a, b | ab=aa, bbb=b〉 | Finite non-commutative monoid with 12 elements | |
| 8 | 〈a, b | ba=ab, aaa=a〉 | Infinite commutative monoid | 1 isomorphic |
| 8 | 〈a, b | bb=aa, aaa=a〉 | Infinite non-commutative monoid | 4 isomorphic |
| 8 | 〈a, b | bb=aa, aba=a〉 | Finite non-commutative monoid with 10 elements | 1 isomorphic |
| 8 | 〈a, b | bb=aa, aba=b〉 | Finite non-commutative monoid with 10 elements | 1 isomorphic |
| 8 | 〈a, b | ab=aa, ba=aa〉 | Infinite commutative monoid | 1 isomorphic |
| 8 | 〈a, b | ab=aa, bb=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 8 | 〈a, b | ab=aa, bb=ba〉 | Infinite non-commutative monoid | |
| 8 | 〈a, b | ba=ab, bb=aa〉 | Infinite commutative monoid | |
| 8 | 〈a, b | aaa=1, bbbbb=1〉 | Infinite non-Abelian group | 7 isomorphic |
| 8 | 〈a, b | aaa=1, aaaa=a〉 | Infinite non-commutative monoid | 12 isomorphic |
| 8 | 〈a, b | aaa=1, aabb=b〉 | Finite non-commutative monoid with 12 elements | 16 isomorphic |
| 8 | 〈a, b | aaa=1, abba=b〉 | Finite non-commutative monoid with 27 elements | 7 isomorphic |
| 8 | 〈a, b | aaa=1, abbb=b〉 | Finite non-commutative monoid with 21 elements | 10 isomorphic, 5 anti-isomorphic |
| 8 | 〈a, b | aaa=1, baab=a〉 | Infinite non-Abelian group | 14 isomorphic |
| 8 | 〈a, b | aaa=1, baab=b〉 | Infinite non-commutative monoid | 4 isomorphic |
| 8 | 〈a, b | aaa=1, babb=a〉 | Finite non-Abelian group with 27 elements | 21 isomorphic |
| 8 | 〈a, b | aaa=1, babb=b〉 | Infinite non-commutative monoid | 5 isomorphic, 3 anti-isomorphic |
| 8 | 〈a, b | aaa=1, bbbb=b〉 | Infinite non-commutative monoid | 5 isomorphic |
| 8 | 〈a, b | aab=1, aaab=a〉 | Infinite non-commutative monoid | 39 isomorphic |
| 8 | 〈a, b | aab=1, abab=b〉 | Infinite non-commutative monoid | 13 isomorphic |
| 8 | 〈a, b | aa=a, bbbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 8 | 〈a, b | ab=a, bbbbb=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 8 | 〈a, b | aa=a, abab=a〉 | Infinite non-commutative monoid | 45 isomorphic, 5 anti-isomorphic |
| 8 | 〈a, b | aa=a, abba=a〉 | Infinite non-commutative monoid | 17 isomorphic |
| 8 | 〈a, b | aa=a, abba=b〉 | Finite commutative monoid with 3 elements | 12 isomorphic |
| 8 | 〈a, b | aa=a, abbb=a〉 | Infinite non-commutative monoid | 12 isomorphic, 3 anti-isomorphic |
| 8 | 〈a, b | aa=a, abbb=b〉 | Finite non-commutative monoid with 6 elements | 19 isomorphic |
| 8 | 〈a, b | aa=a, babb=a〉 | Infinite non-commutative monoid | 13 isomorphic, 11 anti-isomorphic |
| 8 | 〈a, b | aa=a, babb=b〉 | Infinite non-commutative monoid | 3 isomorphic |
| 8 | 〈a, b | aa=a, bbbb=a〉 | Finite commutative monoid with 8 elements | 48 isomorphic |
| 8 | 〈a, b | aa=a, bbbb=b〉 | Infinite non-commutative monoid | |
| 8 | 〈a, b | aa=b, abbb=b〉 | Finite commutative monoid with 7 elements | 82 isomorphic |
| 8 | 〈a, b | aa=b, bbbb=a〉 | Finite commutative monoid with 8 elements | 34 isomorphic |
| 8 | 〈a, b | aa=b, bbbb=b〉 | Finite commutative monoid with 8 elements | 46 isomorphic |
| 8 | 〈a, b | ab=a, aaaa=a〉 | Infinite non-commutative monoid | 66 isomorphic |
| 8 | 〈a, b | ab=a, baaa=a〉 | Infinite commutative monoid | 55 isomorphic |
| 8 | 〈a, b | ab=a, baaa=b〉 | Finite non-commutative monoid with 7 elements | 34 isomorphic |
| 8 | 〈a, b | ab=a, bbaa=a〉 | Infinite non-commutative monoid | 44 isomorphic, 12 anti-isomorphic |
| 8 | 〈a, b | ab=a, bbba=a〉 | Infinite non-commutative monoid | 12 isomorphic |
| 8 | 〈a, b | ab=a, bbbb=a〉 | Finite commutative monoid with 5 elements | 32 isomorphic |
| 8 | 〈a, b | ab=a, bbbb=b〉 | Infinite non-commutative monoid | |
| 8 | 〈a, b | aa=a, aab=bb〉 | Finite non-commutative monoid with 6 elements | 3 isomorphic |
| 8 | 〈a, b | aa=a, aba=ab〉 | Infinite non-commutative monoid | 13 isomorphic |
| 8 | 〈a, b | aa=a, aba=bb〉 | Finite non-commutative monoid with 8 elements | 5 isomorphic |
| 8 | 〈a, b | aa=a, abb=ab〉 | Infinite non-commutative monoid | 9 isomorphic |
| 8 | 〈a, b | aa=a, abb=ba〉 | Infinite non-commutative monoid | 7 isomorphic, 2 anti-isomorphic |
| 8 | 〈a, b | aa=a, abb=bb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 8 | 〈a, b | aa=a, bab=ab〉 | Infinite non-commutative monoid | 9 isomorphic |
| 8 | 〈a, b | aa=a, bab=bb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 8 | 〈a, b | aa=a, bbb=ab〉 | Finite non-commutative monoid with 10 elements | 3 isomorphic |
| 8 | 〈a, b | aa=a, bbb=bb〉 | Infinite non-commutative monoid | |
| 8 | 〈a, b | ab=a, aaa=aa〉 | Infinite non-commutative monoid | 55 isomorphic |
| 8 | 〈a, b | ab=a, aaa=ba〉 | Infinite non-commutative monoid | 34 isomorphic |
| 8 | 〈a, b | ab=a, aaa=bb〉 | Finite commutative monoid with 5 elements | 19 isomorphic |
| 8 | 〈a, b | ab=a, aab=ba〉 | Infinite non-commutative monoid | 33 isomorphic |
| 8 | 〈a, b | ab=a, baa=aa〉 | Infinite non-commutative monoid | 34 isomorphic |
| 8 | 〈a, b | ab=a, baa=ba〉 | Infinite non-commutative monoid | 19 isomorphic |
| 8 | 〈a, b | ab=a, baa=bb〉 | Finite non-commutative monoid with 6 elements | 12 isomorphic, 1 anti-isomorphic |
| 8 | 〈a, b | ab=a, bba=aa〉 | Infinite non-commutative monoid | 19 isomorphic |
| 8 | 〈a, b | ab=a, bba=ba〉 | Infinite non-commutative monoid | 9 isomorphic |
| 8 | 〈a, b | ab=a, bba=bb〉 | Finite non-commutative monoid with 5 elements | 15 isomorphic |
| 8 | 〈a, b | ab=a, bbb=aa〉 | Finite commutative monoid with 5 elements | 9 isomorphic |
| 8 | 〈a, b | ab=a, bbb=ba〉 | Finite non-commutative monoid with 5 elements | 4 isomorphic |
| 8 | 〈a, b | ab=a, bbb=bb〉 | Infinite non-commutative monoid | |
| 8 | 〈a, b | aa=1, ababab=1〉 | Infinite non-Abelian group | 13 isomorphic |
| 8 | 〈a, b | aa=1, ababbb=1〉 | Finite non-Abelian group with 16 elements | 40 isomorphic |
| 8 | 〈a, b | aa=1, abbabb=1〉 | Infinite non-Abelian group | 6 isomorphic, 10 anti-isomorphic |
| 8 | 〈a, b | aa=1, bbbbbb=1〉 | Infinite non-Abelian group | 8 isomorphic |
| 8 | 〈a, b | aa=1, ababa=b〉 | Finite non-commutative monoid with 8 elements | 13 isomorphic |
| 8 | 〈a, b | aa=1, ababb=b〉 | Infinite non-commutative monoid | 11 isomorphic, 4 anti-isomorphic |
| 8 | 〈a, b | aa=1, abbab=b〉 | Infinite non-commutative monoid | 7 isomorphic, 8 anti-isomorphic |
| 8 | 〈a, b | aa=1, abbba=b〉 | Finite non-commutative monoid with 18 elements | 14 isomorphic |
| 8 | 〈a, b | aa=1, abbbb=b〉 | Finite non-commutative monoid with 14 elements | 14 isomorphic, 7 anti-isomorphic |
| 8 | 〈a, b | aa=1, babab=b〉 | Infinite non-commutative monoid | 4 isomorphic |
| 8 | 〈a, b | aa=1, babbb=b〉 | Infinite non-commutative monoid | 6 isomorphic, 3 anti-isomorphic |
| 8 | 〈a, b | aa=1, bbabb=a〉 | Infinite non-Abelian group | 4 isomorphic |
| 8 | 〈a, b | aa=1, bbabb=b〉 | Infinite non-commutative monoid | 5 isomorphic |
| 8 | 〈a, b | aa=1, bbbbb=b〉 | Infinite non-commutative monoid | 5 isomorphic |
| 8 | 〈a, b | aa=1, abab=bb〉 | Infinite non-commutative monoid | 9 isomorphic, 6 anti-isomorphic |
| 8 | 〈a, b | aa=1, abba=bb〉 | Infinite non-commutative monoid | 10 isomorphic |
| 8 | 〈a, b | aa=1, abbb=bb〉 | Infinite non-commutative monoid | 11 isomorphic, 6 anti-isomorphic |
| 8 | 〈a, b | aa=1, babb=bb〉 | Infinite non-commutative monoid | 6 isomorphic, 3 anti-isomorphic |
| 8 | 〈a, b | aa=1, bbbb=bb〉 | Infinite non-commutative monoid | 6 isomorphic |
| 8 | 〈a, b | aa=1, bbb=bab〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aab=aaa, bbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aba=aaa, bbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aba=aab, abb=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aba=aab, bbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | baa=aab, bbb=1〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | bab=aaa, bbb=1〉 | Finite non-commutative monoid with 147 elements | 3 isomorphic |
| 9 | 〈a, b | bab=aba, bbb=1〉 | Finite non-commutative monoid with 27 elements | 3 isomorphic |
| 9 | 〈a, b | aaaa=a, bbbb=1〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aaaa=b, abbb=1〉 | Isomorphic to ℤ13 | 189 isomorphic |
| 9 | 〈a, b | aaaa=b, bbbb=1〉 | Isomorphic to ℤ16 | 67 isomorphic |
| 9 | 〈a, b | aaab=a, bbbb=1〉 | Finite non-commutative monoid with 36 elements | 3 isomorphic, 3 anti-isomorphic |
| 9 | 〈a, b | aaba=a, bbbb=1〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aaba=b, bbbb=1〉 | Finite non-Abelian group with 60 elements | 4 isomorphic, 5 anti-isomorphic |
| 9 | 〈a, b | aabb=a, abab=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aabb=a, bbbb=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | abab=a, bbbb=1〉 | Finite non-commutative monoid with 20 elements | 2 isomorphic |
| 9 | 〈a, b | abba=a, bbbb=1〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | abba=b, baba=1〉 | Finite non-Abelian group with 6 elements | 66 isomorphic |
| 9 | 〈a, b | baab=a, bbbb=1〉 | Finite non-commutative monoid with 100 elements | 2 isomorphic |
| 9 | 〈a, b | babb=a, bbbb=1〉 | Infinite non-commutative monoid | 4 isomorphic, 3 anti-isomorphic |
| 9 | 〈a, b | aaa=aa, bbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aaa=ab, bbbb=1〉 | Finite non-commutative monoid with 36 elements | 1 isomorphic, 5 anti-isomorphic |
| 9 | 〈a, b | aaa=bb, abab=1〉 | Finite non-Abelian group with 30 elements | 8 isomorphic |
| 9 | 〈a, b | aaa=bb, abbb=1〉 | Isomorphic to ℤ11 | 259 isomorphic |
| 9 | 〈a, b | aaa=bb, bbbb=1〉 | Infinite non-Abelian group | 7 isomorphic |
| 9 | 〈a, b | aab=aa, bbbb=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aab=ab, aaaa=1〉 | Infinite non-commutative monoid | 4 isomorphic |
| 9 | 〈a, b | aab=ba, bbbb=1〉 | Finite non-commutative monoid with 64 elements | 2 isomorphic |
| 9 | 〈a, b | aab=bb, aaaa=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aba=aa, bbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aba=ab, bbbb=1〉 | Finite non-commutative monoid with 20 elements | 1 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aba=bb, aaaa=1〉 | Finite non-commutative monoid with 100 elements | 2 isomorphic |
| 9 | 〈a, b | aaa=aa, aab=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aaa=aa, aba=a〉 | Infinite non-commutative monoid | 4 isomorphic |
| 9 | 〈a, b | aaa=aa, aba=b〉 | Infinite commutative monoid | 3 isomorphic |
| 9 | 〈a, b | aaa=aa, abb=a〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aaa=aa, abb=b〉 | Finite non-commutative monoid with 6 elements | 5 isomorphic |
| 9 | 〈a, b | aaa=aa, bab=a〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aaa=aa, bab=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aaa=aa, bbb=a〉 | Finite commutative monoid with 9 elements | 16 isomorphic |
| 9 | 〈a, b | aaa=aa, bbb=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aaa=ab, aab=a〉 | Infinite non-commutative monoid | 45 isomorphic, 5 anti-isomorphic |
| 9 | 〈a, b | aaa=ab, abb=a〉 | Infinite non-commutative monoid | 5 isomorphic, 18 anti-isomorphic |
| 9 | 〈a, b | aaa=ab, baa=a〉 | Infinite commutative monoid | 39 isomorphic |
| 9 | 〈a, b | aaa=ab, baa=b〉 | Finite non-commutative monoid with 7 elements | |
| 9 | 〈a, b | aaa=ab, bab=a〉 | Infinite commutative monoid | 26 isomorphic |
| 9 | 〈a, b | aaa=ab, bab=b〉 | Finite non-commutative monoid with 9 elements | 4 isomorphic |
| 9 | 〈a, b | aaa=ab, bba=a〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | aaa=ab, bbb=a〉 | Finite commutative monoid with 9 elements | 40 isomorphic |
| 9 | 〈a, b | aaa=ab, bbb=b〉 | Finite non-commutative monoid with 21 elements | 1 anti-isomorphic |
| 9 | 〈a, b | aaa=bb, aab=b〉 | Finite commutative monoid with 7 elements | 5 isomorphic |
| 9 | 〈a, b | aaa=bb, aba=a〉 | Finite non-commutative monoid with 15 elements | 2 isomorphic |
| 9 | 〈a, b | aaa=bb, aba=b〉 | Finite non-commutative monoid with 15 elements | 1 isomorphic |
| 9 | 〈a, b | aaa=bb, abb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aaa=bb, abb=b〉 | Finite commutative monoid with 8 elements | 55 isomorphic |
| 9 | 〈a, b | aaa=bb, bab=a〉 | Finite commutative monoid with 8 elements | 9 isomorphic |
| 9 | 〈a, b | aaa=bb, bab=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aaa=bb, bbb=a〉 | Finite commutative monoid with 9 elements | 70 isomorphic |
| 9 | 〈a, b | aaa=bb, bbb=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aab=aa, aba=a〉 | Infinite non-commutative monoid | 4 isomorphic |
| 9 | 〈a, b | aab=aa, abb=a〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aab=aa, baa=b〉 | Finite non-commutative monoid with 8 elements | 8 isomorphic |
| 9 | 〈a, b | aab=aa, bab=a〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aab=aa, bab=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aab=aa, bba=a〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aab=aa, bba=b〉 | Finite non-commutative monoid with 5 elements | 9 isomorphic |
| 9 | 〈a, b | aab=aa, bbb=a〉 | Finite commutative monoid with 7 elements | 35 isomorphic |
| 9 | 〈a, b | aab=aa, bbb=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aab=ab, baa=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aab=ab, bab=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aab=ab, bba=a〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aab=ab, bba=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aab=ab, bbb=a〉 | Finite commutative monoid with 7 elements | 50 isomorphic |
| 9 | 〈a, b | aab=ab, bbb=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aab=ba, aba=b〉 | Infinite non-commutative monoid | 8 isomorphic |
| 9 | 〈a, b | aab=ba, abb=a〉 | Infinite non-commutative monoid | 1 isomorphic, 6 anti-isomorphic |
| 9 | 〈a, b | aab=ba, baa=b〉 | Infinite non-commutative monoid | 3 isomorphic, 7 anti-isomorphic |
| 9 | 〈a, b | aab=ba, bab=b〉 | Infinite non-commutative monoid | 15 isomorphic |
| 9 | 〈a, b | aab=ba, bba=a〉 | Infinite non-commutative monoid | 17 isomorphic |
| 9 | 〈a, b | aab=ba, bbb=b〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aab=bb, aba=a〉 | Finite non-commutative monoid with 12 elements | 2 isomorphic |
| 9 | 〈a, b | aab=bb, abb=a〉 | Finite commutative monoid with 6 elements | 13 isomorphic |
| 9 | 〈a, b | aab=bb, baa=a〉 | Finite non-commutative monoid with 8 elements | 4 anti-isomorphic |
| 9 | 〈a, b | aab=bb, baa=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aab=bb, bab=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aab=bb, bba=a〉 | Finite non-commutative monoid with 10 elements | 6 isomorphic |
| 9 | 〈a, b | aab=bb, bba=b〉 | Infinite non-commutative monoid | 16 isomorphic, 8 anti-isomorphic |
| 9 | 〈a, b | aab=bb, bbb=b〉 | Infinite non-commutative monoid | 3 isomorphic |
| 9 | 〈a, b | aba=aa, abb=a〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aba=aa, baa=b〉 | Finite non-commutative monoid with 6 elements | |
| 9 | 〈a, b | aba=aa, bab=a〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aba=aa, bab=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aba=aa, bbb=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aba=ab, baa=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aba=ab, bab=b〉 | Infinite non-commutative monoid | 14 isomorphic |
| 9 | 〈a, b | aba=ab, bba=a〉 | Infinite non-commutative monoid | 4 isomorphic |
| 9 | 〈a, b | aba=ab, bbb=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aba=ba, baa=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aba=bb, bab=a〉 | Finite non-commutative monoid with 14 elements | 1 isomorphic |
| 9 | 〈a, b | aba=bb, bbb=b〉 | Infinite commutative monoid | 25 isomorphic |
| 9 | 〈a, b | abb=aa, bbb=a〉 | Finite commutative monoid with 6 elements | 49 isomorphic |
| 9 | 〈a, b | abb=aa, bbb=b〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 9 | 〈a, b | abb=ab, bbb=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | abb=ba, bbb=b〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | abb=bb, bbb=b〉 | Infinite non-commutative monoid | 10 isomorphic |
| 9 | 〈a, b | bab=aa, bbb=b〉 | Finite non-commutative monoid with 27 elements | 1 isomorphic |
| 9 | 〈a, b | bab=ab, bbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | bab=bb, bbb=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aaaa=1, aabbb=1〉 | Infinite non-Abelian group | 18 isomorphic |
| 9 | 〈a, b | aaaa=1, bbbbb=1〉 | Infinite non-Abelian group | 2 isomorphic |
| 9 | 〈a, b | aaab=1, bbbbb=1〉 | Isomorphic to ℤ15 | 138 isomorphic |
| 9 | 〈a, b | aabb=1, aabab=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | abab=1, aaaaa=1〉 | Infinite non-Abelian group | 6 isomorphic |
| 9 | 〈a, b | abab=1, aaabb=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aaa=a, bbbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aab=a, bbbbb=1〉 | Finite non-commutative monoid with 30 elements | 2 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aab=b, aaaaa=1〉 | Infinite non-commutative monoid | 4 isomorphic |
| 9 | 〈a, b | aba=a, bbbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aba=b, aaaaa=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aba=b, aaabb=1〉 | Finite non-Abelian group with 12 elements | 19 isomorphic |
| 9 | 〈a, b | aaa=a, aaab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aaa=a, aaba=a〉 | Infinite non-commutative monoid | 12 isomorphic |
| 9 | 〈a, b | aaa=a, aaba=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aaa=a, aabb=a〉 | Infinite non-commutative monoid | 7 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aaa=a, aabb=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aaa=a, abab=a〉 | Infinite non-commutative monoid | 12 isomorphic |
| 9 | 〈a, b | aaa=a, abab=b〉 | Finite non-commutative monoid with 9 elements | 2 isomorphic |
| 9 | 〈a, b | aaa=a, abba=a〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aaa=a, abba=b〉 | Finite non-commutative monoid with 9 elements | 2 isomorphic |
| 9 | 〈a, b | aaa=a, abbb=a〉 | Infinite non-commutative monoid | 4 isomorphic |
| 9 | 〈a, b | aaa=a, abbb=b〉 | Finite non-commutative monoid with 15 elements | 4 isomorphic |
| 9 | 〈a, b | aaa=a, baab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aaa=a, babb=a〉 | Infinite non-commutative monoid | 4 isomorphic, 2 anti-isomorphic |
| 9 | 〈a, b | aaa=a, babb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aaa=a, bbbb=a〉 | Finite commutative monoid with 12 elements | 6 isomorphic |
| 9 | 〈a, b | aaa=a, bbbb=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aaa=b, abbb=a〉 | Finite commutative monoid with 10 elements | 59 isomorphic |
| 9 | 〈a, b | aaa=b, abbb=b〉 | Finite commutative monoid with 10 elements | 35 isomorphic |
| 9 | 〈a, b | aaa=b, bbbb=a〉 | Finite commutative monoid with 12 elements | 27 isomorphic |
| 9 | 〈a, b | aaa=b, bbbb=b〉 | Finite commutative monoid with 12 elements | 23 isomorphic |
| 9 | 〈a, b | aab=a, baaa=b〉 | Finite non-commutative monoid with 7 elements | 10 isomorphic |
| 9 | 〈a, b | aab=a, bbba=a〉 | Infinite non-commutative monoid | 6 isomorphic, 2 anti-isomorphic |
| 9 | 〈a, b | aab=a, bbbb=b〉 | Finite non-commutative monoid with 16 elements | |
| 9 | 〈a, b | aab=b, aaaa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aab=b, aaab=b〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | aab=b, aaba=a〉 | Finite non-commutative monoid with 5 elements | 10 isomorphic |
| 9 | 〈a, b | aab=b, abab=b〉 | Infinite non-commutative monoid | 8 isomorphic |
| 9 | 〈a, b | aab=b, abba=a〉 | Finite non-commutative monoid with 9 elements | 13 isomorphic |
| 9 | 〈a, b | aab=b, abbb=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 9 | 〈a, b | aab=b, baaa=b〉 | Infinite non-commutative monoid | 4 isomorphic |
| 9 | 〈a, b | aab=b, baba=b〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aab=b, babb=a〉 | Finite commutative monoid with 7 elements | 20 isomorphic |
| 9 | 〈a, b | aab=b, babb=b〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | aab=b, bbaa=b〉 | Infinite non-commutative monoid | 5 isomorphic, 2 anti-isomorphic |
| 9 | 〈a, b | aab=b, bbab=b〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | aab=b, bbba=a〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aab=b, bbba=b〉 | Infinite non-commutative monoid | 7 isomorphic, 3 anti-isomorphic |
| 9 | 〈a, b | aab=b, bbbb=b〉 | Infinite non-commutative monoid | 7 isomorphic |
| 9 | 〈a, b | aba=a, aaaa=a〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aba=a, aaab=b〉 | Finite non-commutative monoid with 7 elements | 5 isomorphic |
| 9 | 〈a, b | aba=a, aabb=a〉 | Infinite non-commutative monoid | 4 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aba=a, aabb=b〉 | Finite non-commutative monoid with 3 elements | 16 isomorphic |
| 9 | 〈a, b | aba=a, abba=a〉 | Infinite non-commutative monoid | 4 isomorphic |
| 9 | 〈a, b | aba=a, abbb=a〉 | Infinite non-commutative monoid | 4 isomorphic |
| 9 | 〈a, b | aba=a, baab=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aba=a, babb=b〉 | Infinite non-commutative monoid | 4 isomorphic |
| 9 | 〈a, b | aba=a, bbbb=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aba=b, aaaa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aba=b, baab=a〉 | Finite non-commutative monoid with 13 elements | 4 isomorphic |
| 9 | 〈a, b | aba=b, bbbb=b〉 | Infinite commutative monoid | 17 isomorphic |
| 9 | 〈a, b | ab=aa, bbbbb=1〉 | Finite non-commutative monoid with 30 elements | 2 isomorphic |
| 9 | 〈a, b | ba=ab, aaaaa=1〉 | Infinite commutative monoid | 2 isomorphic |
| 9 | 〈a, b | ab=aa, aaaa=a〉 | Infinite non-commutative monoid | 32 isomorphic |
| 9 | 〈a, b | ab=aa, baaa=a〉 | Infinite commutative monoid | 28 isomorphic |
| 9 | 〈a, b | ab=aa, baaa=b〉 | Finite non-commutative monoid with 8 elements | 6 isomorphic |
| 9 | 〈a, b | ab=aa, bbaa=a〉 | Infinite non-commutative monoid | 10 isomorphic |
| 9 | 〈a, b | ab=aa, bbba=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | ab=aa, bbbb=a〉 | Finite commutative monoid with 8 elements | 32 isomorphic |
| 9 | 〈a, b | ab=aa, bbbb=b〉 | Finite non-commutative monoid with 20 elements | |
| 9 | 〈a, b | ba=ab, aaaa=a〉 | Infinite commutative monoid | 1 isomorphic |
| 9 | 〈a, b | ba=ab, aaab=a〉 | Infinite commutative monoid | 5 isomorphic |
| 9 | 〈a, b | ba=ab, aaab=b〉 | Infinite commutative monoid | 6 isomorphic |
| 9 | 〈a, b | ba=ab, aabb=a〉 | Infinite commutative monoid | 15 isomorphic |
| 9 | 〈a, b | bb=aa, aaab=a〉 | Finite commutative monoid with 8 elements | 3 isomorphic |
| 9 | 〈a, b | ab=aa, aaa=aa〉 | Infinite non-commutative monoid | 12 isomorphic |
| 9 | 〈a, b | ab=aa, aaa=ba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 9 | 〈a, b | ab=aa, aaa=bb〉 | Finite non-commutative monoid with 7 elements | 3 isomorphic |
| 9 | 〈a, b | ab=aa, baa=aa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 9 | 〈a, b | ab=aa, baa=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | ab=aa, baa=bb〉 | Finite non-commutative monoid with 8 elements | 1 isomorphic |
| 9 | 〈a, b | ab=aa, bba=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | ab=aa, bba=ba〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | ab=aa, bba=bb〉 | Finite non-commutative monoid with 9 elements | |
| 9 | 〈a, b | ab=aa, bbb=aa〉 | Finite non-commutative monoid with 8 elements | 1 isomorphic |
| 9 | 〈a, b | ab=aa, bbb=ba〉 | Finite non-commutative monoid with 8 elements | |
| 9 | 〈a, b | ab=aa, bbb=bb〉 | Finite non-commutative monoid with 12 elements | |
| 9 | 〈a, b | ba=ab, aaa=aa〉 | Infinite commutative monoid | |
| 9 | 〈a, b | ba=ab, aaa=ab〉 | Infinite commutative monoid | |
| 9 | 〈a, b | ba=ab, aaa=bb〉 | Infinite commutative monoid | |
| 9 | 〈a, b | ba=ab, aab=aa〉 | Infinite commutative monoid | 1 isomorphic |
| 9 | 〈a, b | ba=ab, aab=ab〉 | Infinite commutative monoid | 4 isomorphic |
| 9 | 〈a, b | ba=ab, aab=bb〉 | Infinite commutative monoid | 1 isomorphic |
| 9 | 〈a, b | bb=aa, aaa=aa〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | bb=aa, aaa=ab〉 | Finite non-commutative monoid with 7 elements | 1 isomorphic |
| 9 | 〈a, b | bb=aa, aab=ab〉 | Finite non-commutative monoid with 7 elements | 1 isomorphic |
| 9 | 〈a, b | bb=aa, aba=aa〉 | Finite non-commutative monoid with 10 elements | 1 isomorphic |
| 9 | 〈a, b | aaa=1, aabbab=1〉 | Finite non-Abelian group with 27 elements | 23 isomorphic |
| 9 | 〈a, b | aaa=1, ababab=1〉 | Infinite non-Abelian group | 6 isomorphic |
| 9 | 〈a, b | aaa=1, ababbb=1〉 | Finite non-Abelian group with 36 elements | 17 isomorphic |
| 9 | 〈a, b | aaa=1, abbabb=1〉 | Infinite non-Abelian group | 10 isomorphic |
| 9 | 〈a, b | aaa=1, bbbbbb=1〉 | Infinite non-Abelian group | 2 isomorphic |
| 9 | 〈a, b | aaa=1, aabab=b〉 | Finite non-commutative monoid with 12 elements | 8 isomorphic, 4 anti-isomorphic |
| 9 | 〈a, b | aaa=1, ababa=b〉 | Finite non-commutative monoid with 27 elements | 3 isomorphic |
| 9 | 〈a, b | aaa=1, ababb=b〉 | Infinite non-commutative monoid | 3 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aaa=1, abbba=b〉 | Finite non-commutative monoid with 147 elements | 3 isomorphic |
| 9 | 〈a, b | aaa=1, abbbb=b〉 | Finite non-commutative monoid with 30 elements | 6 isomorphic, 3 anti-isomorphic |
| 9 | 〈a, b | aaa=1, baabb=b〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aaa=1, babab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aaa=1, babbb=a〉 | Finite non-Abelian group with 84 elements | 2 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aaa=1, babbb=b〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aaa=1, bbabb=a〉 | Infinite non-Abelian group | 12 isomorphic |
| 9 | 〈a, b | aaa=1, bbabb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aaa=1, bbbbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aaa=1, aaba=bb〉 | Finite non-commutative monoid with 24 elements | 5 isomorphic |
| 9 | 〈a, b | aaa=1, aabb=bb〉 | Infinite non-commutative monoid | 8 isomorphic, 3 anti-isomorphic |
| 9 | 〈a, b | aaa=1, abab=ab〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aaa=1, abab=ba〉 | Finite non-commutative monoid with 24 elements | 2 isomorphic, 3 anti-isomorphic |
| 9 | 〈a, b | aaa=1, abab=bb〉 | Infinite non-commutative monoid | 3 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aaa=1, abba=bb〉 | Infinite non-commutative monoid | 4 isomorphic |
| 9 | 〈a, b | aaa=1, abbb=ab〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aaa=1, abbb=ba〉 | Finite non-commutative monoid with 81 elements | 2 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aaa=1, abbb=bb〉 | Infinite non-commutative monoid | 2 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aaa=1, baab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aaa=1, babb=ab〉 | Finite non-commutative monoid with 21 elements | 6 isomorphic |
| 9 | 〈a, b | aaa=1, babb=ba〉 | Infinite non-commutative monoid | 2 isomorphic, 3 anti-isomorphic |
| 9 | 〈a, b | aaa=1, babb=bb〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aaa=1, bbbb=ab〉 | Finite non-commutative monoid with 30 elements | 7 isomorphic, 2 anti-isomorphic |
| 9 | 〈a, b | aaa=1, bbbb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aa=a, bbbbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | ab=a, bbbbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 9 | 〈a, b | aa=a, ababa=a〉 | Infinite non-commutative monoid | 11 isomorphic |
| 9 | 〈a, b | aa=a, ababb=a〉 | Infinite non-commutative monoid | 10 isomorphic |
| 9 | 〈a, b | aa=a, abbab=a〉 | Infinite non-commutative monoid | 21 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | aa=a, abbba=a〉 | Infinite non-commutative monoid | 7 isomorphic |
| 9 | 〈a, b | aa=a, abbba=b〉 | Finite commutative monoid with 4 elements | 8 isomorphic |
| 9 | 〈a, b | aa=a, abbbb=a〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | aa=a, abbbb=b〉 | Finite non-commutative monoid with 8 elements | 14 isomorphic |
| 9 | 〈a, b | aa=a, babab=a〉 | Infinite commutative monoid | 28 isomorphic |
| 9 | 〈a, b | aa=a, babab=b〉 | Infinite non-commutative monoid | 3 isomorphic |
| 9 | 〈a, b | aa=a, babbb=a〉 | Infinite non-commutative monoid | 6 isomorphic, 2 anti-isomorphic |
| 9 | 〈a, b | aa=a, babbb=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aa=a, bbabb=a〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | aa=a, bbabb=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aa=a, bbbbb=a〉 | Finite commutative monoid with 10 elements | 17 isomorphic |
| 9 | 〈a, b | aa=a, bbbbb=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aa=b, bbbbb=b〉 | Finite commutative monoid with 10 elements | 57 isomorphic |
| 9 | 〈a, b | ab=a, aaaaa=a〉 | Infinite non-commutative monoid | 28 isomorphic |
| 9 | 〈a, b | ab=a, baaaa=a〉 | Infinite commutative monoid | 23 isomorphic |
| 9 | 〈a, b | ab=a, baaaa=b〉 | Finite non-commutative monoid with 9 elements | 20 isomorphic |
| 9 | 〈a, b | ab=a, bbaaa=a〉 | Infinite non-commutative monoid | 16 isomorphic |
| 9 | 〈a, b | ab=a, bbbaa=a〉 | Infinite non-commutative monoid | 14 isomorphic, 1 anti-isomorphic |
| 9 | 〈a, b | ab=a, bbbba=a〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | ab=a, bbbbb=b〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aa=a, aaba=ba〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aa=a, abab=ab〉 | Infinite non-commutative monoid | 9 isomorphic |
| 9 | 〈a, b | aa=a, abab=ba〉 | Infinite non-commutative monoid | 9 isomorphic |
| 9 | 〈a, b | aa=a, abab=bb〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aa=a, abba=ab〉 | Infinite non-commutative monoid | 10 isomorphic, 4 anti-isomorphic |
| 9 | 〈a, b | aa=a, abba=bb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 9 | 〈a, b | aa=a, abbb=ab〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aa=a, abbb=ba〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aa=a, abbb=bb〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aa=a, babb=ab〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aa=a, babb=ba〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aa=a, babb=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aa=a, bbbb=ab〉 | Finite non-commutative monoid with 14 elements | 2 isomorphic |
| 9 | 〈a, b | aa=a, bbbb=bb〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | ab=a, aaaa=aa〉 | Infinite non-commutative monoid | 27 isomorphic |
| 9 | 〈a, b | ab=a, aaaa=ba〉 | Infinite non-commutative monoid | 20 isomorphic |
| 9 | 〈a, b | ab=a, aaaa=bb〉 | Finite commutative monoid with 6 elements | 14 isomorphic |
| 9 | 〈a, b | ab=a, baaa=aa〉 | Infinite non-commutative monoid | 20 isomorphic |
| 9 | 〈a, b | ab=a, baaa=ba〉 | Infinite non-commutative monoid | 14 isomorphic |
| 9 | 〈a, b | ab=a, baaa=bb〉 | Finite non-commutative monoid with 8 elements | 9 isomorphic |
| 9 | 〈a, b | ab=a, bbaa=aa〉 | Infinite non-commutative monoid | 14 isomorphic |
| 9 | 〈a, b | ab=a, bbaa=ba〉 | Infinite non-commutative monoid | 9 isomorphic |
| 9 | 〈a, b | ab=a, bbaa=bb〉 | Finite non-commutative monoid with 8 elements | 9 isomorphic |
| 9 | 〈a, b | ab=a, bbba=aa〉 | Infinite non-commutative monoid | 9 isomorphic |
| 9 | 〈a, b | ab=a, bbba=ba〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | ab=a, bbbb=aa〉 | Finite commutative monoid with 6 elements | 5 isomorphic |
| 9 | 〈a, b | ab=a, bbbb=ba〉 | Finite non-commutative monoid with 6 elements | 2 isomorphic |
| 9 | 〈a, b | ab=a, bbbb=bb〉 | Infinite non-commutative monoid | |
| 9 | 〈a, b | aa=a, abb=aba〉 | Infinite non-commutative monoid | 7 isomorphic, 2 anti-isomorphic |
| 9 | 〈a, b | aa=a, bab=aba〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | aa=a, bab=abb〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aa=a, bba=abb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 9 | 〈a, b | aa=a, bbb=aba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 9 | 〈a, b | aa=a, bbb=abb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | aa=a, bbb=bab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 9 | 〈a, b | ab=a, baa=aaa〉 | Infinite non-commutative monoid | 20 isomorphic |
| 9 | 〈a, b | ab=a, bba=aaa〉 | Infinite non-commutative monoid | 14 isomorphic |
| 9 | 〈a, b | ab=a, bba=baa〉 | Infinite non-commutative monoid | 9 isomorphic |
| 9 | 〈a, b | ab=a, bbb=aaa〉 | Finite commutative monoid with 6 elements | 9 isomorphic |
| 9 | 〈a, b | ab=a, bbb=baa〉 | Finite non-commutative monoid with 7 elements | 5 isomorphic |
| 9 | 〈a, b | ab=a, bbb=bba〉 | Finite non-commutative monoid with 6 elements | 3 isomorphic |
| 9 | 〈a, b | aa=1, ababbbb=1〉 | Finite non-Abelian group with 30 elements | 53 isomorphic |
| 9 | 〈a, b | aa=1, bbbbbbb=1〉 | Infinite non-Abelian group | 8 isomorphic |
| 9 | 〈a, b | aa=1, ababba=b〉 | Finite non-commutative monoid with 22 elements | 15 isomorphic, 12 anti-isomorphic |
| 9 | 〈a, b | aa=1, ababbb=b〉 | Finite non-commutative monoid with 14 elements | 27 isomorphic, 10 anti-isomorphic |
| 9 | 〈a, b | aa=1, abbbab=b〉 | Infinite non-commutative monoid | 8 isomorphic, 9 anti-isomorphic |
| 9 | 〈a, b | aa=1, abbbba=b〉 | Finite non-commutative monoid with 32 elements | 17 isomorphic |
| 9 | 〈a, b | aa=1, abbbbb=b〉 | Finite non-commutative monoid with 18 elements | 22 isomorphic, 9 anti-isomorphic |
| 9 | 〈a, b | aa=1, bababb=b〉 | Infinite non-commutative monoid | 6 isomorphic, 3 anti-isomorphic |
| 9 | 〈a, b | aa=1, babbab=b〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aa=1, babbbb=b〉 | Infinite non-commutative monoid | 7 isomorphic, 3 anti-isomorphic |
| 9 | 〈a, b | aa=1, bbabbb=b〉 | Infinite non-commutative monoid | 10 isomorphic |
| 9 | 〈a, b | aa=1, bbbbbb=b〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | aa=1, ababa=bb〉 | Infinite non-commutative monoid | 16 isomorphic |
| 9 | 〈a, b | aa=1, ababb=bb〉 | Infinite non-commutative monoid | 12 isomorphic, 5 anti-isomorphic |
| 9 | 〈a, b | aa=1, abbab=bb〉 | Infinite non-commutative monoid | 10 isomorphic, 7 anti-isomorphic |
| 9 | 〈a, b | aa=1, abbba=bb〉 | Infinite non-commutative monoid | 17 isomorphic |
| 9 | 〈a, b | aa=1, abbbb=bb〉 | Infinite non-commutative monoid | 15 isomorphic, 6 anti-isomorphic |
| 9 | 〈a, b | aa=1, babab=bb〉 | Infinite non-commutative monoid | 5 isomorphic |
| 9 | 〈a, b | aa=1, babbb=bb〉 | Infinite non-commutative monoid | 7 isomorphic, 3 anti-isomorphic |
| 9 | 〈a, b | aa=1, bbabb=bb〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | aa=1, bbbbb=bb〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | aa=1, abab=bbb〉 | Finite non-commutative monoid with 26 elements | 10 isomorphic, 7 anti-isomorphic |
| 9 | 〈a, b | aa=1, abbb=bbb〉 | Infinite non-commutative monoid | 5 isomorphic, 4 anti-isomorphic |
| 9 | 〈a, b | aa=1, babb=bab〉 | Infinite non-commutative monoid | 5 isomorphic, 4 anti-isomorphic |
| 9 | 〈a, b | aa=1, babb=bbb〉 | Infinite non-commutative monoid | 5 isomorphic, 6 anti-isomorphic |
| 9 | 〈a, b | aa=1, bbbb=bab〉 | Infinite non-commutative monoid | 6 isomorphic |
| 9 | 〈a, b | aa=1, bbbb=bbb〉 | Infinite non-commutative monoid | 6 isomorphic |
| 10 | 〈a, b | aaaa=aa, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=ab, bbbb=1〉 | Finite non-commutative monoid with 52 elements | |
| 10 | 〈a, b | aaaa=bb, aabb=1〉 | Infinite non-Abelian group | 5 isomorphic |
| 10 | 〈a, b | aaaa=bb, abab=1〉 | Finite non-Abelian group with 48 elements | |
| 10 | 〈a, b | aaaa=bb, abbb=1〉 | Isomorphic to ℤ14 | 165 isomorphic |
| 10 | 〈a, b | aaaa=bb, bbbb=1〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aaab=aa, abab=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=aa, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=ba, abab=1〉 | Finite non-Abelian group with 16 elements | 7 isomorphic |
| 10 | 〈a, b | aaab=ba, bbbb=1〉 | Finite non-commutative monoid with 324 elements | |
| 10 | 〈a, b | aaba=aa, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=ab, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=ba, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=bb, bbbb=1〉 | Finite non-Abelian group with 60 elements | 2 isomorphic |
| 10 | 〈a, b | aabb=aa, abab=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aabb=aa, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aabb=ab, abab=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aabb=ba, abab=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aabb=ba, baba=1〉 | Infinite non-Abelian group | 3 isomorphic |
| 10 | 〈a, b | aabb=ba, bbbb=1〉 | Finite non-commutative monoid with 44 elements | 1 isomorphic |
| 10 | 〈a, b | abab=aa, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abab=ba, abba=1〉 | Infinite non-Abelian group | 4 isomorphic |
| 10 | 〈a, b | abab=ba, bbbb=1〉 | Finite non-commutative monoid with 64 elements | |
| 10 | 〈a, b | abba=aa, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abba=bb, bbbb=1〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | abbb=ab, bbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | baab=aa, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | baba=ba, bbaa=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aaa, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aaa, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aab, aabb=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aba=aab, abbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aab, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abb=aaa, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abb=aab, aaaa=1〉 | Finite non-commutative monoid with 20 elements | 2 isomorphic |
| 10 | 〈a, b | abb=aba, bbbb=1〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 10 | 〈a, b | baa=aab, aaaa=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | baa=aab, aabb=1〉 | Infinite non-Abelian group | 2 isomorphic |
| 10 | 〈a, b | baa=aab, abab=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 10 | 〈a, b | baa=aab, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | baa=abb, aaaa=1〉 | Finite non-commutative monoid with 44 elements | 1 anti-isomorphic |
| 10 | 〈a, b | baa=abb, abab=1〉 | Finite non-Abelian group with 20 elements | 1 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | bab=aaa, aabb=1〉 | Finite non-Abelian group with 16 elements | 6 isomorphic |
| 10 | 〈a, b | bab=aaa, bbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | bab=aba, aaaa=1〉 | Finite non-commutative monoid with 100 elements | |
| 10 | 〈a, b | bab=aba, aabb=1〉 | Finite non-Abelian group with 12 elements | 4 isomorphic |
| 10 | 〈a, b | bbb=aaa, abab=1〉 | Finite non-Abelian group with 96 elements | |
| 10 | 〈a, b | aab=aaa, aba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aaa, abb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aaa, baa=b〉 | Finite non-commutative monoid with 9 elements | 1 isomorphic |
| 10 | 〈a, b | aab=aaa, bab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aaa, bab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aaa, bba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aaa, bbb=a〉 | Finite commutative monoid with 9 elements | 1 isomorphic |
| 10 | 〈a, b | aab=aaa, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aaa, abb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aaa, abb=b〉 | Finite non-commutative monoid with 7 elements | |
| 10 | 〈a, b | aba=aaa, baa=a〉 | Infinite non-commutative monoid | 8 isomorphic |
| 10 | 〈a, b | aba=aaa, baa=b〉 | Finite non-commutative monoid with 7 elements | |
| 10 | 〈a, b | aba=aaa, bab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aaa, bab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aaa, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aab, abb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aab, abb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aab, baa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aab, bab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aab, bab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aab, bba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aab, bba=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=aab, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abb=aaa, baa=a〉 | Infinite non-commutative monoid | 2 anti-isomorphic |
| 10 | 〈a, b | abb=aaa, baa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abb=aaa, bab=a〉 | Infinite non-commutative monoid | 5 isomorphic |
| 10 | 〈a, b | abb=aaa, bab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abb=aaa, bba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abb=aaa, bba=b〉 | Finite non-commutative monoid with 11 elements | |
| 10 | 〈a, b | abb=aaa, bbb=a〉 | Finite commutative monoid with 9 elements | 12 isomorphic |
| 10 | 〈a, b | abb=aaa, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abb=aab, baa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | abb=aab, baa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abb=aab, bab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abb=aab, bbb=a〉 | Finite commutative monoid with 7 elements | 42 isomorphic |
| 10 | 〈a, b | abb=aab, bbb=b〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 10 | 〈a, b | abb=aba, baa=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | abb=aba, baa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abb=aba, bba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abb=aba, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | baa=aab, bab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | baa=aab, bab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | baa=aab, bba=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | baa=aab, bba=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | baa=aab, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | baa=abb, bab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | baa=abb, bba=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | baa=abb, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | bab=aaa, bba=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | bab=aaa, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | bab=aab, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | bab=aba, bba=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | bab=aba, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | bab=abb, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | bba=abb, bbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaaa=1, abbbb=1〉 | Isomorphic to ℤ20 | 16 isomorphic |
| 10 | 〈a, b | aaaaa=1, bbbbb=1〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aaabb=1, aabab=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaabb=1, aabba=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 10 | 〈a, b | aaabb=1, ababb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaabb=1, abbaa=1〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aaabb=1, baaab=1〉 | Infinite non-Abelian group | 2 isomorphic |
| 10 | 〈a, b | aaaa=a, bbbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=b, abbbb=1〉 | Isomorphic to ℤ17 | 39 isomorphic |
| 10 | 〈a, b | aaab=a, bbbbb=1〉 | Finite non-commutative monoid with 55 elements | |
| 10 | 〈a, b | aaba=a, bbbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=b, aaaaa=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaba=b, bbbbb=1〉 | Finite non-Abelian group with 165 elements | |
| 10 | 〈a, b | aabb=a, aabab=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aabb=a, ababb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aabb=a, bbbbb=1〉 | Finite non-commutative monoid with 30 elements | 1 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | abba=a, bbbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abba=b, aaaaa=1〉 | Finite non-commutative monoid with 605 elements | |
| 10 | 〈a, b | aaaa=a, aaab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=a, aaba=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaaa=a, aaba=b〉 | Infinite commutative monoid | |
| 10 | 〈a, b | aaaa=a, aabb=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aaaa=a, aabb=b〉 | Finite non-commutative monoid with 16 elements | 1 isomorphic |
| 10 | 〈a, b | aaaa=a, abab=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaaa=a, abba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=a, abba=b〉 | Finite non-commutative monoid with 28 elements | |
| 10 | 〈a, b | aaaa=a, abbb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=a, abbb=b〉 | Finite non-commutative monoid with 28 elements | |
| 10 | 〈a, b | aaaa=a, baab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=a, baab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=a, babb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=a, babb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=a, bbbb=a〉 | Finite commutative monoid with 16 elements | 1 isomorphic |
| 10 | 〈a, b | aaaa=a, bbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=b, aabb=b〉 | Finite commutative monoid with 10 elements | 20 isomorphic |
| 10 | 〈a, b | aaaa=b, abbb=a〉 | Finite commutative monoid with 13 elements | 10 isomorphic |
| 10 | 〈a, b | aaaa=b, abbb=b〉 | Finite commutative monoid with 13 elements | 6 isomorphic |
| 10 | 〈a, b | aaaa=b, bbbb=a〉 | Finite commutative monoid with 16 elements | 5 isomorphic |
| 10 | 〈a, b | aaab=a, aaba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=a, aabb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=a, abaa=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aaab=a, abab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=a, abba=b〉 | Infinite commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaab=a, abbb=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaab=a, baaa=b〉 | Finite non-commutative monoid with 7 elements | 8 isomorphic |
| 10 | 〈a, b | aaab=a, baab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=a, baba=b〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aaab=a, babb=a〉 | Infinite commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aaab=a, bbab=a〉 | Infinite non-commutative monoid | 2 isomorphic, 3 anti-isomorphic |
| 10 | 〈a, b | aaab=a, bbba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=b, aaba=a〉 | Finite non-commutative monoid with 7 elements | 1 isomorphic |
| 10 | 〈a, b | aaab=b, aabb=b〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aaab=b, abaa=b〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aaab=b, abba=a〉 | Finite non-commutative monoid with 13 elements | 2 isomorphic |
| 10 | 〈a, b | aaab=b, abba=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaab=b, abbb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=b, baaa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=b, baab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=b, baab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=b, baba=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=b, babb=a〉 | Finite non-commutative monoid with 28 elements | |
| 10 | 〈a, b | aaab=b, babb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=b, bbaa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=b, bbab=a〉 | Finite non-commutative monoid with 28 elements | |
| 10 | 〈a, b | aaab=b, bbab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=b, bbba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=a, aabb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=a, aabb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=a, abaa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=a, abab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=a, abba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=a, baab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=a, babb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaba=a, bbaa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=a, bbab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaba=b, babb=a〉 | Finite non-commutative monoid with 28 elements | |
| 10 | 〈a, b | aaba=b, bbab=a〉 | Finite non-commutative monoid with 28 elements | |
| 10 | 〈a, b | aabb=a, abab=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aabb=a, abba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aabb=a, baba=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aabb=a, bbaa=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | abab=a, abba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abba=b, baab=a〉 | Finite non-commutative monoid with 25 elements | |
| 10 | 〈a, b | aaa=aa, bbbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=ab, bbbbb=1〉 | Finite non-commutative monoid with 55 elements | |
| 10 | 〈a, b | aab=aa, bbbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ba, aaaaa=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=ba, bbbbb=1〉 | Finite non-commutative monoid with 160 elements | |
| 10 | 〈a, b | aab=bb, aaaaa=1〉 | Finite non-commutative monoid with 30 elements | 3 anti-isomorphic |
| 10 | 〈a, b | aba=aa, bbbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=ab, bbbbb=1〉 | Finite non-commutative monoid with 30 elements | |
| 10 | 〈a, b | aba=bb, aaaaa=1〉 | Finite non-commutative monoid with 605 elements | |
| 10 | 〈a, b | aba=bb, aabbb=1〉 | Finite non-Abelian group with 24 elements | 22 isomorphic |
| 10 | 〈a, b | aaa=aa, abba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=aa, abba=b〉 | Finite commutative monoid with 4 elements | 2 isomorphic |
| 10 | 〈a, b | aaa=aa, abbb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=aa, abbb=b〉 | Finite non-commutative monoid with 9 elements | 3 isomorphic |
| 10 | 〈a, b | aaa=aa, baab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=aa, babb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=aa, babb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=aa, bbbb=a〉 | Finite commutative monoid with 12 elements | |
| 10 | 〈a, b | aaa=aa, bbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=ab, aabb=a〉 | Infinite non-commutative monoid | 12 isomorphic, 2 anti-isomorphic |
| 10 | 〈a, b | aaa=ab, abbb=a〉 | Infinite non-commutative monoid | 6 isomorphic, 2 anti-isomorphic |
| 10 | 〈a, b | aaa=ab, baab=a〉 | Infinite commutative monoid | 9 isomorphic |
| 10 | 〈a, b | aaa=ab, baab=b〉 | Finite non-commutative monoid with 11 elements | 3 isomorphic |
| 10 | 〈a, b | aaa=ab, babb=a〉 | Infinite commutative monoid | 6 isomorphic |
| 10 | 〈a, b | aaa=ab, babb=b〉 | Finite non-commutative monoid with 13 elements | 6 isomorphic |
| 10 | 〈a, b | aaa=ab, bbaa=a〉 | Infinite non-commutative monoid | 4 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aaa=ab, bbab=a〉 | Infinite non-commutative monoid | 8 isomorphic |
| 10 | 〈a, b | aaa=ab, bbba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=ab, bbbb=a〉 | Finite commutative monoid with 12 elements | 7 isomorphic |
| 10 | 〈a, b | aaa=ab, bbbb=b〉 | Finite non-commutative monoid with 36 elements | |
| 10 | 〈a, b | aaa=bb, aaba=b〉 | Finite commutative monoid with 9 elements | |
| 10 | 〈a, b | aaa=bb, abbb=a〉 | Finite commutative monoid with 11 elements | 4 isomorphic |
| 10 | 〈a, b | aaa=bb, abbb=b〉 | Finite commutative monoid with 11 elements | 3 isomorphic |
| 10 | 〈a, b | aaa=bb, baab=a〉 | Finite non-commutative monoid with 26 elements | |
| 10 | 〈a, b | aaa=bb, baab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=bb, bbbb=a〉 | Finite commutative monoid with 12 elements | 43 isomorphic |
| 10 | 〈a, b | aab=aa, abba=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=aa, abbb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=aa, baaa=b〉 | Finite non-commutative monoid with 11 elements | 4 isomorphic |
| 10 | 〈a, b | aab=aa, babb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aa, babb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=aa, bbab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aa, bbab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=aa, bbba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aa, bbbb=a〉 | Finite commutative monoid with 9 elements | 5 isomorphic |
| 10 | 〈a, b | aab=aa, bbbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ab, aaaa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=ab, baaa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=ab, babb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ab, bbaa=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ab, bbab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ab, bbba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=ab, bbba=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aab=ab, bbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=ba, aaaa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=ba, abaa=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ba, abbb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ba, baaa=b〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aab=ba, babb=b〉 | Infinite non-commutative monoid | 8 isomorphic |
| 10 | 〈a, b | aab=ba, bbba=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aab=ba, bbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=bb, aaaa=a〉 | Finite non-commutative monoid with 20 elements | |
| 10 | 〈a, b | aab=bb, aaaa=b〉 | Finite commutative monoid with 8 elements | 18 isomorphic |
| 10 | 〈a, b | aab=bb, abab=b〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | aab=bb, abba=a〉 | Finite non-commutative monoid with 12 elements | 6 isomorphic |
| 10 | 〈a, b | aab=bb, abbb=a〉 | Finite commutative monoid with 8 elements | 10 isomorphic |
| 10 | 〈a, b | aab=bb, abbb=b〉 | Infinite non-commutative monoid | 3 isomorphic, 8 anti-isomorphic |
| 10 | 〈a, b | aab=bb, baaa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=bb, baba=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aab=bb, babb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=bb, bbaa=b〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aab=bb, bbab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=bb, bbba=a〉 | Finite non-commutative monoid with 14 elements | 5 isomorphic |
| 10 | 〈a, b | aab=bb, bbba=b〉 | Infinite non-commutative monoid | 5 isomorphic, 2 anti-isomorphic |
| 10 | 〈a, b | aab=bb, bbbb=b〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aba=aa, aaaa=a〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | aba=aa, aaab=b〉 | Finite non-commutative monoid with 8 elements | 3 isomorphic |
| 10 | 〈a, b | aba=aa, aabb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=aa, aabb=b〉 | Finite non-commutative monoid with 6 elements | 5 isomorphic |
| 10 | 〈a, b | aba=aa, abba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aa, abbb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aa, baab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=aa, babb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aa, babb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aa, bbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=ab, aaaa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=ab, baaa=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=ab, bbaa=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aba=ab, bbba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=ab, bbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=bb, aaaa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=bb, aaab=b〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 10 | 〈a, b | aba=bb, abba=b〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aba=bb, abbb=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aba=bb, abbb=b〉 | Infinite commutative monoid | 13 isomorphic |
| 10 | 〈a, b | aba=bb, bbbb=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=aa, aab=aa〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | aaa=aa, aab=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=aa, aab=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=aa, aab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=aa, aba=aa〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=aa, aba=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=aa, aba=bb〉 | Finite non-commutative monoid with 27 elements | |
| 10 | 〈a, b | aaa=aa, abb=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=aa, abb=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=aa, abb=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=aa, abb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=aa, bab=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=aa, bab=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=aa, bab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=aa, bbb=aa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aaa=aa, bbb=ab〉 | Finite non-commutative monoid with 21 elements | |
| 10 | 〈a, b | aaa=aa, bbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=ab, aab=aa〉 | Infinite non-commutative monoid | 5 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aaa=ab, aab=ab〉 | Infinite non-commutative monoid | 4 isomorphic, 2 anti-isomorphic |
| 10 | 〈a, b | aaa=ab, aab=ba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=ab, aab=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=ab, abb=aa〉 | Infinite non-commutative monoid | 3 isomorphic, 2 anti-isomorphic |
| 10 | 〈a, b | aaa=ab, abb=ab〉 | Infinite non-commutative monoid | 4 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aaa=ab, abb=ba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aaa=ab, abb=bb〉 | Finite non-commutative monoid with 11 elements | 3 isomorphic |
| 10 | 〈a, b | aaa=ab, baa=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=ab, baa=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=ab, baa=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=ab, baa=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=ab, bab=aa〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=ab, bab=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=ab, bab=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=ab, bab=bb〉 | Finite non-commutative monoid with 12 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=ab, bba=aa〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=ab, bba=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=ab, bba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=ab, bba=bb〉 | Finite non-commutative monoid with 13 elements | |
| 10 | 〈a, b | aaa=ab, bbb=aa〉 | Finite non-commutative monoid with 11 elements | 2 isomorphic |
| 10 | 〈a, b | aaa=ab, bbb=ab〉 | Finite non-commutative monoid with 13 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=ab, bbb=ba〉 | Finite non-commutative monoid with 13 elements | |
| 10 | 〈a, b | aaa=bb, aab=aa〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=bb, aab=ab〉 | Finite non-commutative monoid with 9 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=bb, aab=ba〉 | Finite non-commutative monoid with 13 elements | |
| 10 | 〈a, b | aaa=bb, aab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=bb, aba=aa〉 | Finite non-commutative monoid with 15 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=bb, aba=bb〉 | Finite non-commutative monoid with 15 elements | 2 isomorphic |
| 10 | 〈a, b | aaa=bb, abb=aa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aaa=bb, abb=ab〉 | Finite non-commutative monoid with 10 elements | 2 isomorphic |
| 10 | 〈a, b | aaa=bb, abb=ba〉 | Finite non-commutative monoid with 10 elements | |
| 10 | 〈a, b | aaa=bb, abb=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=bb, bab=aa〉 | Finite non-commutative monoid with 20 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=bb, bab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=bb, bbb=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=aa, aba=aa〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aab=aa, aba=ab〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aab=aa, aba=ba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aab=aa, aba=bb〉 | Finite non-commutative monoid with 10 elements | |
| 10 | 〈a, b | aab=aa, abb=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=aa, abb=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aa, abb=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aa, abb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=aa, baa=aa〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aab=aa, baa=ab〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aab=aa, baa=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=aa, baa=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=aa, bab=aa〉 | Infinite non-commutative monoid | 1 isomorphic, 2 anti-isomorphic |
| 10 | 〈a, b | aab=aa, bab=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aa, bab=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aa, bab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aa, bba=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=aa, bba=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=aa, bba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=aa, bba=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ab, aba=aa〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aab=ab, aba=ab〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aab=ab, aba=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ab, aba=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ab, abb=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ab, abb=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aab=ab, abb=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ab, baa=ab〉 | Infinite non-commutative monoid | 1 isomorphic, 2 anti-isomorphic |
| 10 | 〈a, b | aab=ab, baa=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=ab, baa=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=ab, bab=aa〉 | Infinite non-commutative monoid | 4 isomorphic, 6 anti-isomorphic |
| 10 | 〈a, b | aab=ab, bab=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aab=ab, bab=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ab, bab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ab, bba=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=ab, bba=ab〉 | Infinite non-commutative monoid | 5 isomorphic |
| 10 | 〈a, b | aab=ab, bba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=ba, aba=aa〉 | Infinite non-commutative monoid | 5 isomorphic |
| 10 | 〈a, b | aab=ba, aba=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aab=ba, aba=ba〉 | Infinite non-commutative monoid | 2 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aab=ba, aba=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ba, abb=aa〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 10 | 〈a, b | aab=ba, abb=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ba, baa=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ba, baa=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=ba, bab=aa〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aab=ba, bab=ab〉 | Infinite commutative monoid | 7 isomorphic |
| 10 | 〈a, b | aab=ba, bab=ba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aab=ba, bab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=bb, aba=aa〉 | Finite non-commutative monoid with 14 elements | 1 isomorphic |
| 10 | 〈a, b | aab=bb, aba=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=bb, aba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=bb, aba=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=bb, abb=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=bb, baa=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=bb, bab=aa〉 | Finite non-commutative monoid with 11 elements | 2 isomorphic |
| 10 | 〈a, b | aab=bb, bab=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=bb, bab=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=bb, bab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=bb, bba=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=aa, bab=aa〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aba=aa, bab=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=aa, bab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=ab, bab=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aba=ab, bab=ba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aba=bb, bab=aa〉 | Finite non-commutative monoid with 32 elements | |
| 10 | 〈a, b | aaaa=1, aaabab=1〉 | Infinite non-Abelian group | 2 isomorphic |
| 10 | 〈a, b | aaaa=1, aabaab=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 10 | 〈a, b | aaaa=1, aababb=1〉 | Finite non-Abelian group with 60 elements | 3 isomorphic |
| 10 | 〈a, b | aaaa=1, aabbbb=1〉 | Infinite non-Abelian group | 3 isomorphic |
| 10 | 〈a, b | aaaa=1, ababab=1〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aaaa=1, ababbb=1〉 | Finite non-Abelian group with 64 elements | 2 isomorphic |
| 10 | 〈a, b | aaaa=1, abbabb=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 10 | 〈a, b | aaaa=1, bbbbbb=1〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aaab=1, bbbbbb=1〉 | Isomorphic to ℤ18 | 33 isomorphic |
| 10 | 〈a, b | aabb=1, aaabab=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aabb=1, aababb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aabb=1, ababab=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abab=1, aaaaaa=1〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | abab=1, aaaabb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abab=1, aaabbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=1, aaaaa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaaa=1, aabbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=1, ababa=b〉 | Finite non-commutative monoid with 100 elements | |
| 10 | 〈a, b | aaaa=1, ababb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=1, abbab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=1, abbba=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=1, abbbb=b〉 | Finite non-commutative monoid with 52 elements | |
| 10 | 〈a, b | aaaa=1, baaab=a〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aaaa=1, baaab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=1, baabb=a〉 | Finite non-Abelian group with 60 elements | |
| 10 | 〈a, b | aaaa=1, baabb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=1, babab=a〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aaaa=1, babab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=1, babbb=a〉 | Finite non-Abelian group with 320 elements | |
| 10 | 〈a, b | aaaa=1, babbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=1, bbabb=a〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aaaa=1, bbabb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaaa=1, bbbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=1, aaaab=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aaab=1, aabab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaab=1, abaab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aabb=1, aaabb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aabb=1, aabab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aabb=1, aabab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aabb=1, abaab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abab=1, aaabb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abab=1, aaabb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | abab=1, aabaa=b〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | abab=1, aabab=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=a, babbab=1〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aaa=a, bbbbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, ababab=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, bbbbbb=1〉 | Finite non-commutative monoid with 42 elements | |
| 10 | 〈a, b | aab=b, aaaaaa=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, bbbbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=b, aaaaaa=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=b, aaaabb=1〉 | Finite non-Abelian group with 16 elements | 3 isomorphic |
| 10 | 〈a, b | aba=b, aabbbb=1〉 | Finite non-Abelian group with 16 elements | 5 isomorphic |
| 10 | 〈a, b | aba=b, bbbbbb=1〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aaa=a, aaaaa=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=a, aabaa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, aabab=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=a, aabab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, aabba=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=a, aabba=b〉 | Finite non-commutative monoid with 7 elements | |
| 10 | 〈a, b | aaa=a, aabbb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=a, aabbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abaab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, ababa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, ababa=b〉 | Finite non-commutative monoid with 9 elements | |
| 10 | 〈a, b | aaa=a, ababb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, ababb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abbab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abbab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abbba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abbba=b〉 | Finite non-commutative monoid with 19 elements | |
| 10 | 〈a, b | aaa=a, abbbb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abbbb=b〉 | Finite non-commutative monoid with 21 elements | |
| 10 | 〈a, b | aaa=a, baabb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=a, baabb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, babab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, babab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, babbb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, babbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, bbabb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, bbabb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, bbbbb=a〉 | Finite commutative monoid with 15 elements | |
| 10 | 〈a, b | aaa=a, bbbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=b, aabbb=a〉 | Finite commutative monoid with 11 elements | 35 isomorphic |
| 10 | 〈a, b | aaa=b, aabbb=b〉 | Finite commutative monoid with 11 elements | 11 isomorphic |
| 10 | 〈a, b | aaa=b, abbbb=b〉 | Finite commutative monoid with 13 elements | 2 isomorphic |
| 10 | 〈a, b | aaa=b, bbbbb=a〉 | Finite commutative monoid with 15 elements | |
| 10 | 〈a, b | aaa=b, bbbbb=b〉 | Finite commutative monoid with 15 elements | |
| 10 | 〈a, b | aab=a, aaaaa=a〉 | Infinite non-commutative monoid | 5 isomorphic |
| 10 | 〈a, b | aab=a, aaabb=a〉 | Infinite non-commutative monoid | 5 isomorphic |
| 10 | 〈a, b | aab=a, ababa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, ababb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, abbaa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, abbab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, abbba=b〉 | Infinite commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=a, baaaa=b〉 | Finite non-commutative monoid with 9 elements | |
| 10 | 〈a, b | aab=a, babab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, babbb=a〉 | Infinite commutative monoid | 4 isomorphic |
| 10 | 〈a, b | aab=a, bbbaa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=a, bbbab=a〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aab=a, bbbba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, bbbbb=a〉 | Finite commutative monoid with 11 elements | 1 isomorphic |
| 10 | 〈a, b | aab=a, bbbbb=b〉 | Finite non-commutative monoid with 25 elements | |
| 10 | 〈a, b | aab=b, aaaaa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, aaaab=b〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | aab=b, aabbb=b〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | aab=b, abaaa=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=b, ababa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=b, ababa=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=b, ababb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=b, abbab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=b, abbba=a〉 | Finite non-commutative monoid with 13 elements | 3 isomorphic |
| 10 | 〈a, b | aab=b, abbba=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=b, abbbb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, abbbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aab=b, baaaa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, babaa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, babab=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, babab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, babba=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, babbb=a〉 | Finite non-commutative monoid with 17 elements | 1 isomorphic |
| 10 | 〈a, b | aab=b, babbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbaaa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbaba=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbabb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbabb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbbaa=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbbab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbbba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbbba=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, aaaaa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, aaaab=b〉 | Finite non-commutative monoid with 9 elements | |
| 10 | 〈a, b | aba=a, aaabb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, aabba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, aabbb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, aabbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=a, ababa=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aba=a, ababb=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aba=a, abbab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, abbba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, abbbb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, baaab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, baabb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, babbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=a, bbabb=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, bbbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=b, aaaaa=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=b, aaaab=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aba=b, aabaa=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aba=b, aabab=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=b, abbba=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=b, abbbb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=b, abbbb=b〉 | Infinite commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aba=b, baaab=a〉 | Finite non-commutative monoid with 17 elements | |
| 10 | 〈a, b | aba=b, babbb=a〉 | Finite non-commutative monoid with 17 elements | |
| 10 | 〈a, b | aba=b, bbbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, aaab=bb〉 | Finite non-commutative monoid with 12 elements | |
| 10 | 〈a, b | aaa=a, aaba=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, aaba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, aaba=bb〉 | Finite non-commutative monoid with 25 elements | |
| 10 | 〈a, b | aaa=a, aabb=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, aabb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abab=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abab=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abba=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abbb=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abbb=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, abbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, baab=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, baab=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, baab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, babb=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, babb=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, babb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, bbbb=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=a, bbbb=ab〉 | Finite non-commutative monoid with 30 elements | |
| 10 | 〈a, b | aaa=a, bbbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=b, abbb=bb〉 | Finite commutative monoid with 10 elements | 3 isomorphic |
| 10 | 〈a, b | aaa=b, bbbb=bb〉 | Finite commutative monoid with 12 elements | 4 isomorphic |
| 10 | 〈a, b | aab=a, abab=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, abba=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, abba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, abbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, baaa=bb〉 | Finite non-commutative monoid with 10 elements | |
| 10 | 〈a, b | aab=a, baba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, babb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, bbaa=bb〉 | Finite non-commutative monoid with 8 elements | |
| 10 | 〈a, b | aab=a, bbab=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, bbab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, bbba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, bbba=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=a, bbbb=ba〉 | Finite non-commutative monoid with 12 elements | |
| 10 | 〈a, b | aab=a, bbbb=bb〉 | Finite non-commutative monoid with 12 elements | |
| 10 | 〈a, b | aab=b, aaaa=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, aaaa=ba〉 | Finite non-commutative monoid with 8 elements | |
| 10 | 〈a, b | aab=b, aaaa=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, aaba=aa〉 | Finite non-commutative monoid with 6 elements | 1 isomorphic |
| 10 | 〈a, b | aab=b, abaa=aa〉 | Finite non-commutative monoid with 8 elements | 1 isomorphic |
| 10 | 〈a, b | aab=b, abaa=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, abab=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, abab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, abba=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, abba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, abbb=aa〉 | Finite commutative monoid with 8 elements | 4 isomorphic |
| 10 | 〈a, b | aab=b, abbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, baaa=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, baaa=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, baba=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, baba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, baba=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, babb=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, babb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbaa=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbaa=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbaa=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbab=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbba=aa〉 | Finite non-commutative monoid with 14 elements | |
| 10 | 〈a, b | aab=b, bbba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbba=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbbb=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbbb=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, aaaa=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, aaaa=bb〉 | Finite non-commutative monoid with 20 elements | |
| 10 | 〈a, b | aba=a, aaab=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, aaab=bb〉 | Finite non-commutative monoid with 18 elements | |
| 10 | 〈a, b | aba=a, aabb=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, aabb=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, aabb=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, aabb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, abba=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, abba=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, abba=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, abbb=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, abbb=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, abbb=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, abbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, baab=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, baab=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=a, baab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, babb=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, babb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, bbbb=aa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, bbbb=ab〉 | Finite non-commutative monoid with 12 elements | |
| 10 | 〈a, b | aba=a, bbbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=b, aaaa=aa〉 | Infinite commutative monoid | |
| 10 | 〈a, b | aba=b, aaaa=bb〉 | Finite non-commutative monoid with 20 elements | |
| 10 | 〈a, b | aba=b, aabb=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=b, aabb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=b, abbb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aba=b, baab=aa〉 | Finite non-commutative monoid with 18 elements | |
| 10 | 〈a, b | aba=b, baab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=b, babb=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=b, bbbb=aa〉 | Finite non-commutative monoid with 18 elements | |
| 10 | 〈a, b | aba=b, bbbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, abb=aaa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bab=aaa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=b, bbb=aaa〉 | Finite commutative monoid with 9 elements | 1 isomorphic |
| 10 | 〈a, b | aba=a, abb=aaa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, baa=aab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=a, bbb=aaa〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aba=b, abb=aaa〉 | Finite non-commutative monoid with 11 elements | |
| 10 | 〈a, b | aba=b, bab=aaa〉 | Finite non-commutative monoid with 19 elements | |
| 10 | 〈a, b | bab=b, bbb=bab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | ab=aa, bbbbbb=1〉 | Finite non-commutative monoid with 42 elements | |
| 10 | 〈a, b | ba=ab, aaaaaa=1〉 | Infinite commutative monoid | |
| 10 | 〈a, b | ba=ab, aaabbb=1〉 | Isomorphic to ℤ3 ⊕ ℤ | 6 isomorphic |
| 10 | 〈a, b | bb=aa, aaaaaa=1〉 | Infinite non-Abelian group | 6 isomorphic |
| 10 | 〈a, b | bb=aa, aaabab=1〉 | Finite non-Abelian group with 24 elements | 2 isomorphic |
| 10 | 〈a, b | bb=aa, ababab=1〉 | Finite non-Abelian group with 36 elements | |
| 10 | 〈a, b | ab=aa, aaaaa=a〉 | Infinite non-commutative monoid | 15 isomorphic |
| 10 | 〈a, b | ab=aa, baaaa=a〉 | Infinite commutative monoid | 7 isomorphic |
| 10 | 〈a, b | ab=aa, baaaa=b〉 | Finite non-commutative monoid with 10 elements | 14 isomorphic |
| 10 | 〈a, b | ab=aa, bbaaa=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ab=aa, bbbaa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | ab=aa, bbbba=a〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | ab=aa, bbbbb=b〉 | Finite non-commutative monoid with 30 elements | |
| 10 | 〈a, b | ba=ab, aaaaa=a〉 | Infinite commutative monoid | |
| 10 | 〈a, b | ba=ab, aaaab=a〉 | Infinite commutative monoid | 2 isomorphic |
| 10 | 〈a, b | ba=ab, aaaab=b〉 | Infinite commutative monoid | 2 isomorphic |
| 10 | 〈a, b | ba=ab, aaabb=a〉 | Infinite commutative monoid | 5 isomorphic |
| 10 | 〈a, b | ba=ab, aaabb=b〉 | Infinite commutative monoid | 5 isomorphic |
| 10 | 〈a, b | bb=aa, aaaaa=a〉 | Infinite non-commutative monoid | 5 isomorphic |
| 10 | 〈a, b | bb=aa, aaaba=b〉 | Finite non-commutative monoid with 18 elements | 2 isomorphic |
| 10 | 〈a, b | bb=aa, ababa=a〉 | Finite non-commutative monoid with 26 elements | |
| 10 | 〈a, b | bb=aa, ababa=b〉 | Finite non-commutative monoid with 26 elements | |
| 10 | 〈a, b | ab=aa, aaaa=aa〉 | Infinite non-commutative monoid | 15 isomorphic |
| 10 | 〈a, b | ab=aa, aaaa=ba〉 | Infinite non-commutative monoid | 7 isomorphic |
| 10 | 〈a, b | ab=aa, aaaa=bb〉 | Finite non-commutative monoid with 8 elements | 7 isomorphic |
| 10 | 〈a, b | ab=aa, baaa=aa〉 | Infinite non-commutative monoid | 7 isomorphic |
| 10 | 〈a, b | ab=aa, baaa=ba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ab=aa, baaa=bb〉 | Finite non-commutative monoid with 10 elements | 3 isomorphic |
| 10 | 〈a, b | ab=aa, bbaa=aa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ab=aa, bbaa=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | ab=aa, bbaa=bb〉 | Finite non-commutative monoid with 12 elements | 2 isomorphic |
| 10 | 〈a, b | ab=aa, bbba=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | ab=aa, bbba=ba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | ab=aa, bbbb=aa〉 | Finite non-commutative monoid with 11 elements | 1 isomorphic |
| 10 | 〈a, b | ab=aa, bbbb=ba〉 | Finite non-commutative monoid with 11 elements | |
| 10 | 〈a, b | ab=aa, bbbb=bb〉 | Finite non-commutative monoid with 20 elements | |
| 10 | 〈a, b | ba=ab, aaaa=aa〉 | Infinite commutative monoid | |
| 10 | 〈a, b | ba=ab, aaaa=ab〉 | Infinite commutative monoid | |
| 10 | 〈a, b | ba=ab, aaaa=bb〉 | Infinite commutative monoid | |
| 10 | 〈a, b | ba=ab, aaab=aa〉 | Infinite commutative monoid | 1 isomorphic |
| 10 | 〈a, b | ba=ab, aaab=ab〉 | Infinite commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ba=ab, aaab=bb〉 | Infinite commutative monoid | 1 isomorphic |
| 10 | 〈a, b | ba=ab, aabb=aa〉 | Infinite commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ba=ab, aabb=ab〉 | Infinite commutative monoid | 4 isomorphic |
| 10 | 〈a, b | bb=aa, aaaa=aa〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | bb=aa, aaaa=ab〉 | Finite non-commutative monoid with 9 elements | 2 isomorphic |
| 10 | 〈a, b | bb=aa, aaab=aa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | bb=aa, aaab=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | bb=aa, aaab=ba〉 | Finite non-commutative monoid with 13 elements | 1 isomorphic |
| 10 | 〈a, b | bb=aa, aabb=ba〉 | Finite non-commutative monoid with 9 elements | |
| 10 | 〈a, b | bb=aa, abab=aa〉 | Finite non-commutative monoid with 17 elements | |
| 10 | 〈a, b | bb=aa, abab=ab〉 | Finite non-commutative monoid with 17 elements | |
| 10 | 〈a, b | bb=aa, abab=ba〉 | Finite non-commutative monoid with 17 elements | |
| 10 | 〈a, b | ab=aa, aab=aaa〉 | Infinite non-commutative monoid | 6 isomorphic |
| 10 | 〈a, b | ab=aa, baa=aaa〉 | Infinite non-commutative monoid | 7 isomorphic |
| 10 | 〈a, b | ab=aa, bba=aaa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ab=aa, bba=baa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | ab=aa, bbb=aaa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ab=aa, bbb=baa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | ab=aa, bbb=bba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | ba=ab, aab=aaa〉 | Infinite commutative monoid | 1 isomorphic |
| 10 | 〈a, b | ba=ab, aba=aab〉 | Infinite commutative monoid | 1 isomorphic |
| 10 | 〈a, b | ba=ab, abb=aaa〉 | Infinite commutative monoid | 1 isomorphic |
| 10 | 〈a, b | ba=ab, abb=aab〉 | Infinite commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ba=ab, bbb=aaa〉 | Infinite commutative monoid | |
| 10 | 〈a, b | bb=aa, aab=aaa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | bb=aa, aba=aaa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | bb=aa, aba=aab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | bb=aa, abb=aaa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | bb=aa, bab=aba〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, aababbb=1〉 | Finite non-Abelian group with 84 elements | 2 isomorphic, 4 anti-isomorphic |
| 10 | 〈a, b | aaa=1, ababbbb=1〉 | Finite non-Abelian group with 120 elements | 4 isomorphic |
| 10 | 〈a, b | aaa=1, bbbbbbb=1〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aaa=1, abaaba=b〉 | Finite non-commutative monoid with 27 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=1, ababba=b〉 | Finite non-commutative monoid with 339 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=1, abbbba=b〉 | Finite non-commutative monoid with 1083 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=1, abbbbb=b〉 | Finite non-commutative monoid with 39 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=1, baabab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, baabbb=a〉 | Finite non-Abelian group with 36 elements | 4 isomorphic |
| 10 | 〈a, b | aaa=1, baabbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, bababb=a〉 | Finite non-Abelian group with 84 elements | 5 isomorphic, 3 anti-isomorphic |
| 10 | 〈a, b | aaa=1, bababb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, babbab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, babbbb=a〉 | Finite non-Abelian group with 195 elements | |
| 10 | 〈a, b | aaa=1, babbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, bbaabb=a〉 | Infinite non-Abelian group | 2 isomorphic |
| 10 | 〈a, b | aaa=1, bbaabb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, bbabbb=a〉 | Finite non-Abelian group with 105 elements | 3 isomorphic |
| 10 | 〈a, b | aaa=1, bbabbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, bbbbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, aabab=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=1, aabba=bb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aaa=1, aabbb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=1, abaab=ba〉 | Finite non-commutative monoid with 24 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=1, abaab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=1, ababa=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=1, ababb=ba〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aaa=1, ababb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=1, abbab=ba〉 | Finite non-commutative monoid with 129 elements | 2 anti-isomorphic |
| 10 | 〈a, b | aaa=1, abbab=bb〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 10 | 〈a, b | aaa=1, abbba=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=1, abbbb=ba〉 | Finite non-commutative monoid with 192 elements | 1 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aaa=1, abbbb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=1, baabb=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=1, baabb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, babab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, babbb=ab〉 | Finite non-commutative monoid with 84 elements | 3 isomorphic |
| 10 | 〈a, b | aaa=1, babbb=ba〉 | Infinite non-commutative monoid | 2 anti-isomorphic |
| 10 | 〈a, b | aaa=1, babbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, bbabb=ab〉 | Finite non-commutative monoid with 84 elements | 3 isomorphic |
| 10 | 〈a, b | aaa=1, bbabb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, bbbbb=ab〉 | Finite non-commutative monoid with 39 elements | 2 isomorphic |
| 10 | 〈a, b | aaa=1, bbbbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aab=1, ababb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, abab=abb〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | aaa=1, abab=bba〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aaa=1, abab=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=1, abba=bab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=1, abba=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=1, abbb=abb〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | aaa=1, abbb=bab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=1, abbb=bba〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aaa=1, abbb=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=1, baab=aba〉 | Finite non-commutative monoid with 27 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=1, baab=abb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aaa=1, baab=bab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, baab=bbb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, babb=aba〉 | Finite non-commutative monoid with 339 elements | 1 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aaa=1, babb=abb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=1, babb=bab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, babb=bba〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 10 | 〈a, b | aaa=1, babb=bbb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, bbbb=aba〉 | Finite non-commutative monoid with 1083 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=1, bbbb=abb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aaa=1, bbbb=bab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aaa=1, bbbb=bbb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=a, bbbbbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | ab=a, bbbbbbb=1〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=a, ababba=a〉 | Infinite non-commutative monoid | 3 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aa=a, ababbb=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=a, abbabb=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=a, abbbab=a〉 | Infinite non-commutative monoid | 6 isomorphic |
| 10 | 〈a, b | aa=a, abbbba=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abbbba=b〉 | Finite commutative monoid with 5 elements | 3 isomorphic |
| 10 | 〈a, b | aa=a, abbbbb=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abbbbb=b〉 | Finite non-commutative monoid with 10 elements | 5 isomorphic |
| 10 | 〈a, b | aa=a, bababb=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=a, bababb=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, babbab=a〉 | Infinite commutative monoid | 6 isomorphic |
| 10 | 〈a, b | aa=a, babbab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, babbbb=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, babbbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, bbabbb=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, bbabbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, bbbbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=b, abbbbb=b〉 | Finite commutative monoid with 11 elements | 32 isomorphic |
| 10 | 〈a, b | ab=a, aaaaaa=a〉 | Infinite non-commutative monoid | 7 isomorphic |
| 10 | 〈a, b | ab=a, baaaaa=a〉 | Infinite commutative monoid | 6 isomorphic |
| 10 | 〈a, b | ab=a, baaaaa=b〉 | Finite non-commutative monoid with 11 elements | 6 isomorphic |
| 10 | 〈a, b | ab=a, bbaaaa=a〉 | Infinite non-commutative monoid | 9 isomorphic |
| 10 | 〈a, b | ab=a, bbbaaa=a〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | ab=a, bbbbaa=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ab=a, bbbbba=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | ab=a, bbbbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=a, ababa=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, ababb=ab〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=a, ababb=ba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=a, abbab=ab〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=a, abbab=ba〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | aa=a, abbab=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abbba=ab〉 | Infinite non-commutative monoid | 3 isomorphic, 2 anti-isomorphic |
| 10 | 〈a, b | aa=a, abbba=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abbbb=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abbbb=ba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abbbb=bb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=a, babab=ab〉 | Infinite non-commutative monoid | 2 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aa=a, babab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, babbb=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, babbb=ba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, babbb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, bbabb=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, bbabb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, bbbbb=ab〉 | Finite non-commutative monoid with 18 elements | 1 isomorphic |
| 10 | 〈a, b | aa=a, bbbbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | ab=a, aaaaa=aa〉 | Infinite non-commutative monoid | 7 isomorphic |
| 10 | 〈a, b | ab=a, aaaaa=ba〉 | Infinite non-commutative monoid | 6 isomorphic |
| 10 | 〈a, b | ab=a, aaaaa=bb〉 | Finite commutative monoid with 7 elements | 5 isomorphic |
| 10 | 〈a, b | ab=a, baaaa=aa〉 | Infinite non-commutative monoid | 6 isomorphic |
| 10 | 〈a, b | ab=a, baaaa=ba〉 | Infinite non-commutative monoid | 5 isomorphic |
| 10 | 〈a, b | ab=a, baaaa=bb〉 | Finite non-commutative monoid with 10 elements | 4 isomorphic |
| 10 | 〈a, b | ab=a, bbaaa=aa〉 | Infinite non-commutative monoid | 5 isomorphic |
| 10 | 〈a, b | ab=a, bbaaa=ba〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | ab=a, bbaaa=bb〉 | Finite non-commutative monoid with 11 elements | 4 isomorphic |
| 10 | 〈a, b | ab=a, bbbaa=aa〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | ab=a, bbbaa=ba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ab=a, bbbba=aa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ab=a, bbbba=ba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | ab=a, bbbbb=aa〉 | Finite commutative monoid with 7 elements | 2 isomorphic |
| 10 | 〈a, b | ab=a, bbbbb=ba〉 | Finite non-commutative monoid with 7 elements | 1 isomorphic |
| 10 | 〈a, b | ab=a, bbbbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=a, abab=aba〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | aa=a, abab=abb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=a, abab=bab〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=a, abab=bba〉 | Infinite non-commutative monoid | 2 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aa=a, abab=bbb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abba=aba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abba=abb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abba=bab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abba=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, abbb=aba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=a, abbb=abb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abbb=bab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abbb=bba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, abbb=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, babb=aba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=a, babb=abb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, babb=bab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, babb=bba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=a, babb=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, bbbb=aba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, bbbb=abb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, bbbb=bab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=a, bbbb=bbb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | ab=a, aaaa=aaa〉 | Infinite non-commutative monoid | 7 isomorphic |
| 10 | 〈a, b | ab=a, aaaa=baa〉 | Infinite non-commutative monoid | 6 isomorphic |
| 10 | 〈a, b | ab=a, aaaa=bba〉 | Infinite non-commutative monoid | 5 isomorphic |
| 10 | 〈a, b | ab=a, aaaa=bbb〉 | Finite commutative monoid with 7 elements | 4 isomorphic |
| 10 | 〈a, b | ab=a, baaa=aaa〉 | Infinite non-commutative monoid | 6 isomorphic |
| 10 | 〈a, b | ab=a, baaa=baa〉 | Infinite non-commutative monoid | 5 isomorphic |
| 10 | 〈a, b | ab=a, baaa=bba〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | ab=a, baaa=bbb〉 | Finite non-commutative monoid with 9 elements | 3 isomorphic |
| 10 | 〈a, b | ab=a, bbaa=aaa〉 | Infinite non-commutative monoid | 5 isomorphic |
| 10 | 〈a, b | ab=a, bbaa=baa〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | ab=a, bbaa=bba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ab=a, bbaa=bbb〉 | Finite non-commutative monoid with 9 elements | 2 isomorphic |
| 10 | 〈a, b | ab=a, bbba=aaa〉 | Infinite non-commutative monoid | 4 isomorphic |
| 10 | 〈a, b | ab=a, bbba=baa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | ab=a, bbba=bba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | ab=a, bbba=bbb〉 | Finite non-commutative monoid with 7 elements | 3 isomorphic |
| 10 | 〈a, b | ab=a, bbbb=aaa〉 | Finite commutative monoid with 7 elements | 3 isomorphic |
| 10 | 〈a, b | ab=a, bbbb=baa〉 | Finite non-commutative monoid with 8 elements | 2 isomorphic |
| 10 | 〈a, b | ab=a, bbbb=bba〉 | Finite non-commutative monoid with 7 elements | 1 isomorphic |
| 10 | 〈a, b | ab=a, bbbb=bbb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, abababab=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 10 | 〈a, b | aa=1, abababbb=1〉 | Finite non-Abelian group with 30 elements | 5 isomorphic |
| 10 | 〈a, b | aa=1, ababbaba=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 10 | 〈a, b | aa=1, ababbbbb=1〉 | Finite non-Abelian group with 48 elements | 4 isomorphic |
| 10 | 〈a, b | aa=1, abbabbbb=1〉 | Infinite non-Abelian group | 5 isomorphic |
| 10 | 〈a, b | aa=1, abbbabbb=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 10 | 〈a, b | aa=1, bbbbbbbb=1〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aa=1, abababa=b〉 | Finite non-commutative monoid with 18 elements | 2 isomorphic |
| 10 | 〈a, b | aa=1, abababb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=1, ababbba=b〉 | Finite non-commutative monoid with 56 elements | 2 isomorphic |
| 10 | 〈a, b | aa=1, ababbbb=b〉 | Finite non-commutative monoid with 34 elements | 2 isomorphic, 1 anti-isomorphic |
| 10 | 〈a, b | aa=1, abbabba=b〉 | Finite non-commutative monoid with 50 elements | 2 isomorphic |
| 10 | 〈a, b | aa=1, abbabbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, abbbbab=b〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 10 | 〈a, b | aa=1, abbbbba=b〉 | Finite non-commutative monoid with 50 elements | 2 isomorphic |
| 10 | 〈a, b | aa=1, abbbbbb=b〉 | Finite non-commutative monoid with 22 elements | 1 isomorphic |
| 10 | 〈a, b | aa=1, bababab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bababbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, babbabb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, babbbab=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, babbbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbababb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbabbbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=1, bbbabbb=a〉 | Infinite non-Abelian group | |
| 10 | 〈a, b | aa=1, bbbbbbb=b〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, ababab=bb〉 | Finite non-commutative monoid with 26 elements | 1 isomorphic |
| 10 | 〈a, b | aa=1, ababba=bb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 10 | 〈a, b | aa=1, ababbb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=1, abbabb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, abbbab=ba〉 | Finite non-commutative monoid with 56 elements | |
| 10 | 〈a, b | aa=1, abbbab=bb〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 10 | 〈a, b | aa=1, abbbba=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 10 | 〈a, b | aa=1, abbbbb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=1, bababb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, babbab=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, babbbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbabbb=ab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbabbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbbbbb=bb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, ababa=bbb〉 | Finite non-commutative monoid with 64 elements | 2 isomorphic |
| 10 | 〈a, b | aa=1, ababb=bab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=1, ababb=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=1, abbab=bab〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 10 | 〈a, b | aa=1, abbab=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=1, abbba=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=1, abbbb=bab〉 | Finite non-commutative monoid with 50 elements | 1 isomorphic |
| 10 | 〈a, b | aa=1, abbbb=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 10 | 〈a, b | aa=1, babab=bab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, babab=bbb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, babbb=bab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, babbb=bbb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbabb=abb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbabb=bab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbabb=bbb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbbbb=bab〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbbbb=bbb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbab=babb〉 | Infinite non-commutative monoid | |
| 10 | 〈a, b | aa=1, bbbb=babb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aaa, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aab, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aba, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=abb, bbbb=1〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 11 | 〈a, b | aaaa=bab, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=bbb, abab=1〉 | Finite non-Abelian group with 336 elements | |
| 11 | 〈a, b | aaab=aaa, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=aba, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=baa, abab=1〉 | Finite non-Abelian group with 10 elements | 3 isomorphic |
| 11 | 〈a, b | aaab=baa, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=bba, abab=1〉 | Finite non-Abelian group with 54 elements | 3 isomorphic |
| 11 | 〈a, b | aaab=bba, bbbb=1〉 | Finite non-commutative monoid with 148 elements | 1 isomorphic |
| 11 | 〈a, b | aaba=aaa, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=aab, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=aba, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=abb, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=baa, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=bba, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aaa, abab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aaa, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aab, abab=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aabb=aba, abab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aba, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=baa, abab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=baa, bbbb=1〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 11 | 〈a, b | aabb=bba, bbbb=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | abab=aaa, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=bba, bbbb=1〉 | Finite non-commutative monoid with 44 elements | 1 isomorphic |
| 11 | 〈a, b | abba=aaa, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=aab, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=aba, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=abb, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=bab, bbbb=1〉 | Finite non-commutative monoid with 100 elements | |
| 11 | 〈a, b | abba=bbb, baba=1〉 | Finite non-Abelian group with 30 elements | 8 isomorphic |
| 11 | 〈a, b | baab=aab, bbbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | baab=aba, bbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baab=abb, bbbb=1〉 | Finite non-commutative monoid with 64 elements | 1 isomorphic |
| 11 | 〈a, b | babb=aaa, bbbb=1〉 | Finite non-commutative monoid with 148 elements | |
| 11 | 〈a, b | babb=aba, bbbb=1〉 | Finite non-commutative monoid with 44 elements | 1 anti-isomorphic |
| 11 | 〈a, b | aaaaa=a, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaaa=b, abbbb=1〉 | Isomorphic to ℤ21 | 13 isomorphic |
| 11 | 〈a, b | aaaaa=b, bbbbb=1〉 | Isomorphic to ℤ25 | 3 isomorphic |
| 11 | 〈a, b | aaaab=a, bbbbb=1〉 | Finite non-commutative monoid with 80 elements | |
| 11 | 〈a, b | aaaba=a, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaba=b, bbbbb=1〉 | Finite non-Abelian group with 1220 elements | |
| 11 | 〈a, b | aaabb=a, aabab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaabb=a, ababb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaabb=a, bbbbb=1〉 | Finite non-commutative monoid with 55 elements | 1 isomorphic |
| 11 | 〈a, b | aaabb=b, aabab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaabb=b, ababb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabaa=a, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabaa=b, bbbbb=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aabab=a, aabbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabab=a, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabab=b, aabbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabba=a, ababb=1〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aabba=a, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabba=b, bbbbb=1〉 | Finite non-Abelian group with 165 elements | |
| 11 | 〈a, b | ababa=a, bbaaa=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | ababa=a, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ababa=b, abbaa=1〉 | Finite non-Abelian group with 24 elements | 2 isomorphic |
| 11 | 〈a, b | abbba=a, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baaab=a, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baabb=a, bbbbb=1〉 | Finite non-commutative monoid with 60 elements | |
| 11 | 〈a, b | babaa=a, bbaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | babaa=b, bbaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | babab=a, bbbbb=1〉 | Finite non-commutative monoid with 605 elements | |
| 11 | 〈a, b | aaaa=aa, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=ab, bbbbb=1〉 | Finite non-commutative monoid with 80 elements | |
| 11 | 〈a, b | aaab=aa, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ba, bbbbb=1〉 | Finite non-commutative monoid with 1215 elements | |
| 11 | 〈a, b | aaba=aa, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=ab, bbbbb=1〉 | Finite non-commutative monoid with 55 elements | |
| 11 | 〈a, b | aaba=ba, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=bb, aaaaa=1〉 | Finite non-commutative monoid with 60 elements | |
| 11 | 〈a, b | aaba=bb, bbbbb=1〉 | Finite non-Abelian group with 165 elements | |
| 11 | 〈a, b | aabb=aa, aabab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aa, ababb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=ab, aabab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=ba, aaaaa=1〉 | Finite non-commutative monoid with 60 elements | |
| 11 | 〈a, b | aabb=ba, aabab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=aa, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=ab, aaabb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=ba, aaaaa=1〉 | Finite non-commutative monoid with 160 elements | |
| 11 | 〈a, b | abba=aa, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=bb, aaaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aa, aaab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aa, aaba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aa, aabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aa, abab=b〉 | Finite non-commutative monoid with 12 elements | |
| 11 | 〈a, b | aaaa=aa, abba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aa, abba=b〉 | Finite non-commutative monoid with 10 elements | |
| 11 | 〈a, b | aaaa=aa, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aa, abbb=b〉 | Finite non-commutative monoid with 20 elements | |
| 11 | 〈a, b | aaaa=aa, baab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aa, babb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aa, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=aa, bbbb=a〉 | Finite commutative monoid with 16 elements | |
| 11 | 〈a, b | aaaa=aa, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=ab, aabb=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaaa=ab, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=ab, abbb=b〉 | Finite commutative monoid with 11 elements | 20 isomorphic |
| 11 | 〈a, b | aaaa=ab, baaa=b〉 | Finite non-commutative monoid with 10 elements | |
| 11 | 〈a, b | aaaa=ab, baab=a〉 | Infinite commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaaa=ab, baab=b〉 | Finite non-commutative monoid with 14 elements | 2 isomorphic |
| 11 | 〈a, b | aaaa=ab, babb=a〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aaaa=ab, babb=b〉 | Finite non-commutative monoid with 18 elements | 2 isomorphic |
| 11 | 〈a, b | aaaa=ab, bbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=ab, bbab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=ab, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=ab, bbbb=a〉 | Finite commutative monoid with 16 elements | 2 isomorphic |
| 11 | 〈a, b | aaaa=ab, bbbb=b〉 | Finite non-commutative monoid with 52 elements | |
| 11 | 〈a, b | aaaa=bb, aaab=a〉 | Finite commutative monoid with 10 elements | 1 isomorphic |
| 11 | 〈a, b | aaaa=bb, aaab=b〉 | Finite commutative monoid with 10 elements | 1 isomorphic |
| 11 | 〈a, b | aaaa=bb, abbb=a〉 | Finite commutative monoid with 14 elements | 1 isomorphic |
| 11 | 〈a, b | aaaa=bb, abbb=b〉 | Finite commutative monoid with 14 elements | 1 isomorphic |
| 11 | 〈a, b | aaaa=bb, baab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=bb, bbbb=a〉 | Finite commutative monoid with 16 elements | |
| 11 | 〈a, b | aaab=aa, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=aa, baaa=b〉 | Finite non-commutative monoid with 11 elements | 2 isomorphic |
| 11 | 〈a, b | aaab=aa, babb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=aa, bbab=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaab=aa, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=aa, bbbb=a〉 | Finite commutative monoid with 13 elements | 1 isomorphic |
| 11 | 〈a, b | aaab=aa, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ab, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ab, baab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ab, baba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ab, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ab, bbaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ab, bbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ab, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ab, bbba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ab, bbbb=a〉 | Finite commutative monoid with 13 elements | 3 isomorphic |
| 11 | 〈a, b | aaab=ab, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ba, aaba=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaab=ba, abaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ba, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ba, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ba, baab=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaab=ba, babb=a〉 | Infinite commutative monoid | 5 isomorphic |
| 11 | 〈a, b | aaab=ba, babb=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaab=ba, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=ba, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=bb, aaba=a〉 | Finite non-commutative monoid with 12 elements | 2 isomorphic |
| 11 | 〈a, b | aaab=bb, abba=a〉 | Finite non-commutative monoid with 16 elements | 2 isomorphic |
| 11 | 〈a, b | aaab=bb, abbb=a〉 | Finite commutative monoid with 11 elements | 6 isomorphic |
| 11 | 〈a, b | aaab=bb, abbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=bb, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=bb, baab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=bb, baba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=bb, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=bb, bbaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=bb, bbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=bb, bbba=a〉 | Finite non-commutative monoid with 20 elements | |
| 11 | 〈a, b | aaab=bb, bbba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=bb, bbbb=a〉 | Finite commutative monoid with 13 elements | 14 isomorphic |
| 11 | 〈a, b | aaab=bb, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=aa, aabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=aa, abba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=aa, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=aa, baab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=aa, babb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=aa, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=aa, bbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=aa, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=aa, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=ab, abbb=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aaba=ab, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=ab, baab=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaba=ab, babb=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaba=ab, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=ab, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=ba, aabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=ba, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=ba, bbba=a〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 11 | 〈a, b | aaba=ba, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=bb, abbb=b〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aaba=bb, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=bb, babb=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaba=bb, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aa, abaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aa, abaa=b〉 | Finite commutative monoid with 8 elements | 7 isomorphic |
| 11 | 〈a, b | aabb=aa, abba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aa, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aa, baab=b〉 | Finite non-commutative monoid with 14 elements | 2 isomorphic |
| 11 | 〈a, b | aabb=aa, baba=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aabb=aa, babb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aa, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aa, bbab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aa, bbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aa, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=aa, bbba=b〉 | Finite non-commutative monoid with 8 elements | |
| 11 | 〈a, b | aabb=aa, bbbb=a〉 | Finite commutative monoid with 10 elements | 3 isomorphic |
| 11 | 〈a, b | aabb=ab, abaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=ab, abba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=ab, baaa=a〉 | Infinite non-commutative monoid | 3 isomorphic, 9 anti-isomorphic |
| 11 | 〈a, b | aabb=ab, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=ab, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=ab, bbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=ab, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=ba, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=ba, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=bb, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=bb, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=aa, abba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=aa, abba=b〉 | Finite non-commutative monoid with 14 elements | |
| 11 | 〈a, b | abab=aa, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=aa, baaa=b〉 | Finite non-commutative monoid with 14 elements | |
| 11 | 〈a, b | abab=aa, baab=b〉 | Finite non-commutative monoid with 10 elements | 4 isomorphic |
| 11 | 〈a, b | abab=aa, babb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=aa, bbab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=aa, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=aa, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=ab, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=ab, bbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=ab, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=ba, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=ba, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=ba, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=bb, bbbb=b〉 | Infinite non-commutative monoid | 4 isomorphic |
| 11 | 〈a, b | abba=aa, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=aa, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=aa, baab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=aa, babb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=aa, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=aa, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=ab, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=ab, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=ab, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=ba, bbaa=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | abba=bb, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=bb, baab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abbb=aa, bbbb=a〉 | Finite commutative monoid with 8 elements | 14 isomorphic |
| 11 | 〈a, b | abbb=aa, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abbb=ab, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abbb=ba, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baab=aa, babb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baab=aa, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baab=ab, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baab=bb, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baab=bb, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baba=ba, bbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | babb=aa, bbbb=b〉 | Finite non-commutative monoid with 79 elements | |
| 11 | 〈a, b | babb=ab, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | babb=ba, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, aabbb=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=aab, abbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bbbbb=1〉 | Finite non-commutative monoid with 55 elements | |
| 11 | 〈a, b | abb=aab, aaaaa=1〉 | Finite non-commutative monoid with 30 elements | |
| 11 | 〈a, b | baa=aab, aabbb=1〉 | Infinite non-Abelian group | 2 isomorphic |
| 11 | 〈a, b | baa=aab, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, aaaaa=1〉 | Finite non-commutative monoid with 60 elements | |
| 11 | 〈a, b | bab=aaa, aabbb=1〉 | Finite non-Abelian group with 30 elements | 2 isomorphic |
| 11 | 〈a, b | bab=aaa, bbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aba, aaaaa=1〉 | Finite non-commutative monoid with 605 elements | |
| 11 | 〈a, b | aab=aaa, abba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, baaa=b〉 | Finite non-commutative monoid with 12 elements | 4 isomorphic |
| 11 | 〈a, b | aab=aaa, babb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bbab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bbbb=a〉 | Finite commutative monoid with 12 elements | 2 isomorphic |
| 11 | 〈a, b | aab=aaa, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, aaab=b〉 | Finite non-commutative monoid with 9 elements | 3 isomorphic |
| 11 | 〈a, b | aba=aaa, aabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, abba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, baab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, babb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, aaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, abba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, abbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, baab=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aba=aab, babb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bbab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bbab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=aab, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, aaab=b〉 | Finite commutative monoid with 9 elements | 7 isomorphic |
| 11 | 〈a, b | abb=aaa, aaba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, abaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, baaa=b〉 | Finite non-commutative monoid with 15 elements | 3 isomorphic |
| 11 | 〈a, b | abb=aaa, baab=a〉 | Infinite commutative monoid | 5 isomorphic |
| 11 | 〈a, b | abb=aaa, baab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, baba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, baba=b〉 | Finite non-commutative monoid with 15 elements | 1 isomorphic |
| 11 | 〈a, b | abb=aaa, bbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bbbb=b〉 | Finite non-commutative monoid with 36 elements | |
| 11 | 〈a, b | abb=aab, aaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, aaba=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | abb=aab, abaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, abaa=b〉 | Infinite non-commutative monoid | 11 isomorphic |
| 11 | 〈a, b | abb=aab, baaa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | abb=aab, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, bbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, aaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, aaba=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | abb=aba, abaa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | abb=aba, baaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, abba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, abba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, abbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, babb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, babb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, aaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, aaab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aaa, abba=b〉 | Finite non-commutative monoid with 21 elements | |
| 11 | 〈a, b | bab=aaa, abbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aaa, baab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aaa, bbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aba, aaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aba, aaab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aba, abba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bbb=aaa, aaaa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | bbb=aaa, aaba=b〉 | Finite non-commutative monoid with 30 elements | |
| 11 | 〈a, b | bbb=aaa, abba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bbb=aaa, abba=b〉 | Finite non-commutative monoid with 75 elements | |
| 11 | 〈a, b | aab=aaa, aba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, aba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, aba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, aba=bb〉 | Finite non-commutative monoid with 15 elements | |
| 11 | 〈a, b | aab=aaa, abb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, abb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, abb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, abb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, baa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, baa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, baa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, baa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aaa, bbb=ab〉 | Finite non-commutative monoid with 17 elements | |
| 11 | 〈a, b | aab=aaa, bbb=ba〉 | Finite non-commutative monoid with 17 elements | |
| 11 | 〈a, b | aab=aaa, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, abb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, abb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, abb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, abb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, baa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, baa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, baa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, baa=bb〉 | Finite non-commutative monoid with 17 elements | |
| 11 | 〈a, b | aba=aaa, bab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, bab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, bab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, bbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aaa, bbb=ab〉 | Finite non-commutative monoid with 17 elements | |
| 11 | 〈a, b | aba=aaa, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, abb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, abb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, abb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, abb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, baa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, baa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, baa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, baa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aab, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, baa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, baa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, baa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, baa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aaa, bbb=ab〉 | Finite non-commutative monoid with 15 elements | 1 isomorphic |
| 11 | 〈a, b | abb=aaa, bbb=ba〉 | Finite non-commutative monoid with 15 elements | |
| 11 | 〈a, b | abb=aaa, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, baa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, baa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, baa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, baa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, bab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, bab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, bab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, bab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, bbb=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | abb=aab, bbb=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | abb=aab, bbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aab, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, baa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, baa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, baa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, baa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bbb=aa〉 | Finite non-commutative monoid with 17 elements | |
| 11 | 〈a, b | abb=aba, bbb=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | abb=aba, bbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=aba, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, bab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, bab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, bba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, bba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, bba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, bba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, bbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, bbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=aab, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, bab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, bab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, bab=ba〉 | Infinite non-commutative monoid | 2 anti-isomorphic |
| 11 | 〈a, b | baa=abb, bab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, bba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, bba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, bba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, bba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, bbb=ab〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 11 | 〈a, b | baa=abb, bbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | baa=abb, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aaa, bba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aaa, bba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aaa, bba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aaa, bba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aaa, bbb=aa〉 | Finite non-commutative monoid with 21 elements | |
| 11 | 〈a, b | bab=aab, bbb=aa〉 | Finite non-commutative monoid with 16 elements | |
| 11 | 〈a, b | bab=aab, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aba, bba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aba, bba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aba, bba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aba, bba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=aba, bbb=aa〉 | Finite non-commutative monoid with 16 elements | |
| 11 | 〈a, b | bab=aba, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=abb, bbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=abb, bbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=abb, bbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=abb, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=baa, bba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=baa, bba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=baa, bba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=baa, bba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bba=abb, bbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bba=abb, bbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bba=abb, bbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaaa=1, aabaab=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 11 | 〈a, b | aaaaa=1, aababb=1〉 | Finite non-Abelian group with 165 elements | 3 isomorphic, 2 anti-isomorphic |
| 11 | 〈a, b | aaaaa=1, ababab=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaaaa=1, ababbb=1〉 | Finite non-Abelian group with 100 elements | 2 isomorphic |
| 11 | 〈a, b | aaaaa=1, abbabb=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 11 | 〈a, b | aaaaa=1, bbbbbb=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaaab=1, abbbbb=1〉 | Isomorphic to ℤ19 | 20 isomorphic |
| 11 | 〈a, b | aaaab=1, bbbbbb=1〉 | Isomorphic to ℤ24 | 8 isomorphic |
| 11 | 〈a, b | aaabb=1, aaabab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaabb=1, aabaab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaabb=1, aababb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaabb=1, abaabb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaabb=1, ababab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaabb=1, ababbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaabb=1, bababa=1〉 | Finite non-Abelian group with 24 elements | 3 isomorphic |
| 11 | 〈a, b | aaabb=1, bbbbbb=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 11 | 〈a, b | aabab=1, aaaabb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabab=1, aaabbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabab=1, aabbab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabab=1, aabbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abbba=1, aaaaaa=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaaa=a, bbbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=a, aabaab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=a, bbbbbb=1〉 | Finite non-commutative monoid with 78 elements | |
| 11 | 〈a, b | aaab=b, aaaaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, bbbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=b, aaaaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=b, aaabbb=1〉 | Finite non-Abelian group with 27 elements | 7 isomorphic |
| 11 | 〈a, b | aaba=b, aabbab=1〉 | Finite non-Abelian group with 27 elements | 5 isomorphic |
| 11 | 〈a, b | aaba=b, abbabb=1〉 | Finite non-Abelian group with 60 elements | 2 isomorphic |
| 11 | 〈a, b | aaba=b, bbbbbb=1〉 | Finite non-Abelian group with 378 elements | |
| 11 | 〈a, b | aabb=a, aaabab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, aababb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, aabbbb=1〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aabb=a, ababab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, ababbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, abbabb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, bbbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=a, abbabb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=a, bbbbbb=1〉 | Finite non-commutative monoid with 42 elements | |
| 11 | 〈a, b | abba=a, bbbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=b, aaaaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=b, aaabab=1〉 | Infinite non-Abelian group | 2 isomorphic |
| 11 | 〈a, b | abba=b, aaabbb=1〉 | Finite non-Abelian group with 24 elements | 2 isomorphic |
| 11 | 〈a, b | abba=b, aabaab=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 11 | 〈a, b | abba=b, ababab=1〉 | Finite non-Abelian group with 24 elements | |
| 11 | 〈a, b | abba=b, bbbbbb=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaaa=a, aaaba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, aaabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, aaabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, aabab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, aabab=b〉 | Finite non-commutative monoid with 16 elements | 1 isomorphic |
| 11 | 〈a, b | aaaa=a, aabba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, aabba=b〉 | Finite non-commutative monoid with 25 elements | |
| 11 | 〈a, b | aaaa=a, aabbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, aabbb=b〉 | Finite non-commutative monoid with 28 elements | 1 isomorphic |
| 11 | 〈a, b | aaaa=a, abaab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, ababa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, ababa=b〉 | Finite non-commutative monoid with 28 elements | |
| 11 | 〈a, b | aaaa=a, ababb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, ababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, abbab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, abbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, abbba=b〉 | Finite non-commutative monoid with 148 elements | |
| 11 | 〈a, b | aaaa=a, abbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, abbbb=b〉 | Finite non-commutative monoid with 40 elements | |
| 11 | 〈a, b | aaaa=a, baaab=a〉 | Infinite commutative monoid | 5 isomorphic |
| 11 | 〈a, b | aaaa=a, baaab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, baabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, baabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, babab=a〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aaaa=a, babab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, babbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, babbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, bbabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, bbabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=a, bbbbb=a〉 | Finite commutative monoid with 20 elements | |
| 11 | 〈a, b | aaaa=a, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=b, aabbb=a〉 | Finite commutative monoid with 14 elements | 15 isomorphic |
| 11 | 〈a, b | aaaa=b, aabbb=b〉 | Finite commutative monoid with 14 elements | 5 isomorphic |
| 11 | 〈a, b | aaaa=b, abbbb=a〉 | Finite commutative monoid with 17 elements | 2 isomorphic |
| 11 | 〈a, b | aaaa=b, abbbb=b〉 | Finite commutative monoid with 17 elements | 2 isomorphic |
| 11 | 〈a, b | aaaa=b, bbbbb=a〉 | Finite commutative monoid with 20 elements | |
| 11 | 〈a, b | aaaa=b, bbbbb=b〉 | Finite commutative monoid with 20 elements | |
| 11 | 〈a, b | aaab=a, abbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=a, baaaa=b〉 | Finite non-commutative monoid with 9 elements | 1 isomorphic |
| 11 | 〈a, b | aaab=a, babbb=a〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aaab=a, babbb=b〉 | Finite non-commutative monoid with 11 elements | 4 isomorphic |
| 11 | 〈a, b | aaab=a, bbabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=a, bbbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=a, bbbab=a〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aaab=a, bbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=a, bbbbb=b〉 | Finite non-commutative monoid with 45 elements | |
| 11 | 〈a, b | aaab=b, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, aaaba=a〉 | Finite non-commutative monoid with 7 elements | 3 isomorphic |
| 11 | 〈a, b | aaab=b, aabab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, aabab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaab=b, aabba=a〉 | Finite non-commutative monoid with 13 elements | 3 isomorphic |
| 11 | 〈a, b | aaab=b, abaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, ababa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaab=b, ababa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, ababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, abbaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, abbba=a〉 | Finite non-commutative monoid with 19 elements | 3 isomorphic |
| 11 | 〈a, b | aaab=b, abbba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, abbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, abbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, baaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, baaba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, baabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, babaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, babab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, babba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, babbb=a〉 | Finite non-commutative monoid with 85 elements | 1 anti-isomorphic |
| 11 | 〈a, b | aaab=b, babbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, bbaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, bbaab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, bbaba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, bbabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, bbabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, bbbaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, bbbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, bbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, bbbba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaab=b, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, aaabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, aabba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, aabbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, ababb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, abbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, abbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, abbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, abbbb=b〉 | Finite non-commutative monoid with 11 elements | |
| 11 | 〈a, b | aaba=a, baabb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaba=a, babab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, babbb=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaba=a, bbaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, bbaba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, bbabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, bbbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, bbbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, bbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=a, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=b, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=b, abbbb=a〉 | Finite non-commutative monoid with 61 elements | |
| 11 | 〈a, b | aaba=b, abbbb=b〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aaba=b, baaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaba=b, babbb=a〉 | Finite commutative monoid with 13 elements | 2 isomorphic |
| 11 | 〈a, b | aaba=b, babbb=b〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aaba=b, bbbba=a〉 | Finite non-commutative monoid with 61 elements | |
| 11 | 〈a, b | aaba=b, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, aaaba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, aabaa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aabb=a, aabab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, aabab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, ababa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, ababb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, ababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, abbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, baaaa=b〉 | Finite non-commutative monoid with 17 elements | 1 isomorphic |
| 11 | 〈a, b | aabb=a, baaab=b〉 | Finite non-commutative monoid with 11 elements | 7 isomorphic |
| 11 | 〈a, b | aabb=a, baabb=b〉 | Finite non-commutative monoid with 5 elements | 10 isomorphic, 3 anti-isomorphic |
| 11 | 〈a, b | aabb=a, babab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, bbaba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, bbbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, bbbab=a〉 | Infinite non-commutative monoid | 1 isomorphic, 2 anti-isomorphic |
| 11 | 〈a, b | aabb=a, bbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=a, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=a, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=a, bbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=a, bbbbb=b〉 | Finite non-commutative monoid with 25 elements | |
| 11 | 〈a, b | abba=a, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=a, aaaab=b〉 | Finite non-commutative monoid with 17 elements | |
| 11 | 〈a, b | abba=a, aaaba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=a, aaabb=b〉 | Finite non-commutative monoid with 11 elements | 2 isomorphic |
| 11 | 〈a, b | abba=a, aabaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=a, aabbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=a, ababa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=a, ababb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=a, abbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=a, abbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=a, baabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=a, babab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=a, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=b, aaaaa=a〉 | Finite non-commutative monoid with 101 elements | |
| 11 | 〈a, b | abba=b, aaaab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abba=b, aabab=a〉 | Finite non-commutative monoid with 7 elements | 1 isomorphic |
| 11 | 〈a, b | abba=b, baaab=a〉 | Finite non-commutative monoid with 49 elements | |
| 11 | 〈a, b | abba=b, bbabb=a〉 | Finite non-commutative monoid with 25 elements | |
| 11 | 〈a, b | abba=b, bbbbb=b〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aaa=aa, bbbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbbbbb=1〉 | Finite non-commutative monoid with 78 elements | |
| 11 | 〈a, b | aaa=bb, aabaab=1〉 | Finite non-Abelian group with 42 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=bb, ababab=1〉 | Finite non-Abelian group with 120 elements | |
| 11 | 〈a, b | aaa=bb, ababbb=1〉 | Finite non-Abelian group with 48 elements | 2 isomorphic |
| 11 | 〈a, b | aaa=bb, bbbbbb=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aab=aa, bbbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, aaaaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, aaaaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, ababab=1〉 | Finite non-Abelian group with 21 elements | 1 isomorphic |
| 11 | 〈a, b | aab=ba, ababbb=1〉 | Finite non-Abelian group with 12 elements | 5 isomorphic |
| 11 | 〈a, b | aab=ba, abbabb=1〉 | Finite non-Abelian group with 20 elements | 2 isomorphic |
| 11 | 〈a, b | aab=ba, bbbbbb=1〉 | Finite non-commutative monoid with 384 elements | |
| 11 | 〈a, b | aab=bb, aaaaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, bbbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbbbbb=1〉 | Finite non-commutative monoid with 42 elements | |
| 11 | 〈a, b | aba=bb, aaaaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, aaabbb=1〉 | Finite non-Abelian group with 72 elements | 2 isomorphic |
| 11 | 〈a, b | aba=bb, abbabb=1〉 | Finite non-Abelian group with 30 elements | 1 isomorphic |
| 11 | 〈a, b | aba=bb, bbbbbb=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaa=aa, ababa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, ababb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abbba=b〉 | Finite commutative monoid with 5 elements | |
| 11 | 〈a, b | aaa=aa, abbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abbbb=b〉 | Finite non-commutative monoid with 12 elements | |
| 11 | 〈a, b | aaa=aa, baabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, babab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, babab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, babbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, babbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, bbabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, bbbbb=a〉 | Finite commutative monoid with 15 elements | |
| 11 | 〈a, b | aaa=aa, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, aabbb=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aaa=ab, abbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, baabb=a〉 | Infinite commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaa=ab, baabb=b〉 | Finite non-commutative monoid with 15 elements | 5 isomorphic |
| 11 | 〈a, b | aaa=ab, babbb=a〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aaa=ab, babbb=b〉 | Finite non-commutative monoid with 17 elements | 3 isomorphic |
| 11 | 〈a, b | aaa=ab, bbaab=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=ab, bbabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbbab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbbbb=a〉 | Finite commutative monoid with 15 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=ab, bbbbb=b〉 | Finite non-commutative monoid with 55 elements | |
| 11 | 〈a, b | aaa=bb, aabaa=b〉 | Finite non-commutative monoid with 27 elements | |
| 11 | 〈a, b | aaa=bb, aabab=a〉 | Finite non-commutative monoid with 32 elements | |
| 11 | 〈a, b | aaa=bb, aabbb=b〉 | Finite commutative monoid with 13 elements | 2 isomorphic |
| 11 | 〈a, b | aaa=bb, ababa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=bb, ababa=b〉 | Finite non-commutative monoid with 75 elements | |
| 11 | 〈a, b | aaa=bb, ababb=b〉 | Finite non-commutative monoid with 33 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=bb, abbbb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=bb, abbbb=b〉 | Finite commutative monoid with 14 elements | 11 isomorphic |
| 11 | 〈a, b | aaa=bb, babab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=bb, babbb=a〉 | Finite commutative monoid with 14 elements | |
| 11 | 〈a, b | aaa=bb, bbbbb=a〉 | Finite commutative monoid with 15 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=bb, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, ababa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, ababb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, abbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, abbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, baaaa=b〉 | Finite non-commutative monoid with 14 elements | |
| 11 | 〈a, b | aab=aa, babab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, babab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, babbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, babbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbaba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbbab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbbbb=a〉 | Finite commutative monoid with 11 elements | 1 isomorphic |
| 11 | 〈a, b | aab=aa, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, baaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, babab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, babbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbaba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbbaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbbba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbbbb=a〉 | Finite commutative monoid with 11 elements | 8 isomorphic |
| 11 | 〈a, b | aab=ab, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, abaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, ababb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=ba, abbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, baaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, babab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=ba, bbabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, bbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, aaaaa=b〉 | Finite commutative monoid with 10 elements | 7 isomorphic |
| 11 | 〈a, b | aab=bb, ababa=a〉 | Finite non-commutative monoid with 34 elements | |
| 11 | 〈a, b | aab=bb, ababb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=bb, abbba=a〉 | Finite non-commutative monoid with 16 elements | 3 isomorphic |
| 11 | 〈a, b | aab=bb, abbbb=a〉 | Finite commutative monoid with 10 elements | 5 isomorphic |
| 11 | 〈a, b | aab=bb, abbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, baaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, babaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, babab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, babba=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=bb, babbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbbaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbbba=a〉 | Finite non-commutative monoid with 18 elements | |
| 11 | 〈a, b | aab=bb, bbbba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aaaab=b〉 | Finite non-commutative monoid with 10 elements | |
| 11 | 〈a, b | aba=aa, aaabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aabba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aabbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, abbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, abbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, baaab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, baabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, babbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, babbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, bbabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, aaabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, baaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, aaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, aaaab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, abbbb=b〉 | Infinite commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aba=bb, baaab=a〉 | Finite non-commutative monoid with 20 elements | |
| 11 | 〈a, b | aba=bb, bbabb=a〉 | Finite non-commutative monoid with 26 elements | |
| 11 | 〈a, b | aba=bb, bbbbb=b〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aaa=aa, aaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, aaba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, aaba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, aaba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, aaba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, aabb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, aabb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, aabb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, abbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, baab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, baab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, baab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, babb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, babb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, babb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, babb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, bbbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=aa, bbbb=ab〉 | Finite non-commutative monoid with 30 elements | |
| 11 | 〈a, b | aaa=aa, bbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, aabb=aa〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaa=ab, aabb=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaa=ab, aabb=ba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaa=ab, aabb=bb〉 | Finite non-commutative monoid with 12 elements | 2 isomorphic |
| 11 | 〈a, b | aaa=ab, abbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, abbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, abbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, abbb=bb〉 | Finite non-commutative monoid with 13 elements | |
| 11 | 〈a, b | aaa=ab, baab=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=ab, baab=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=ab, baab=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=ab, baab=bb〉 | Finite non-commutative monoid with 14 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=ab, babb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, babb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, babb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, babb=bb〉 | Finite non-commutative monoid with 16 elements | |
| 11 | 〈a, b | aaa=ab, bbaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbaa=bb〉 | Finite non-commutative monoid with 16 elements | |
| 11 | 〈a, b | aaa=ab, bbab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbab=bb〉 | Finite non-commutative monoid with 19 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=ab, bbba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=ab, bbbb=aa〉 | Finite non-commutative monoid with 15 elements | |
| 11 | 〈a, b | aaa=ab, bbbb=ab〉 | Finite non-commutative monoid with 18 elements | |
| 11 | 〈a, b | aaa=ab, bbbb=ba〉 | Finite non-commutative monoid with 18 elements | |
| 11 | 〈a, b | aaa=ab, bbbb=bb〉 | Finite non-commutative monoid with 36 elements | |
| 11 | 〈a, b | aaa=bb, aaab=ab〉 | Finite non-commutative monoid with 11 elements | |
| 11 | 〈a, b | aaa=bb, aaba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=bb, aaba=ab〉 | Finite non-commutative monoid with 19 elements | |
| 11 | 〈a, b | aaa=bb, aaba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=bb, aabb=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=bb, aabb=ab〉 | Finite non-commutative monoid with 12 elements | 2 isomorphic |
| 11 | 〈a, b | aaa=bb, aabb=ba〉 | Finite non-commutative monoid with 12 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=bb, aabb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=bb, abab=aa〉 | Finite non-commutative monoid with 16 elements | |
| 11 | 〈a, b | aaa=bb, abab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=bb, abab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=bb, abbb=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=bb, abbb=ab〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 11 | 〈a, b | aaa=bb, abbb=ba〉 | Finite non-commutative monoid with 13 elements | |
| 11 | 〈a, b | aaa=bb, abbb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=bb, baab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=bb, baab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=bb, babb=ab〉 | Finite non-commutative monoid with 13 elements | |
| 11 | 〈a, b | aaa=bb, bbbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=bb, bbbb=ab〉 | Finite non-commutative monoid with 14 elements | |
| 11 | 〈a, b | aaa=bb, bbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, aaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, aaaa=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=aa, aaaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, aaaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, aaab=ba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aab=aa, aabb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, aabb=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=aa, abaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, abaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, abaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, abab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, abab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, abab=bb〉 | Finite non-commutative monoid with 12 elements | |
| 11 | 〈a, b | aab=aa, abba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, abbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, abbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, abbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, baaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, baaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, baaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, baaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, baba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, baba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, baba=bb〉 | Finite non-commutative monoid with 20 elements | |
| 11 | 〈a, b | aab=aa, babb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, babb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, babb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, babb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbbb=ab〉 | Finite non-commutative monoid with 15 elements | |
| 11 | 〈a, b | aab=aa, bbbb=ba〉 | Finite non-commutative monoid with 17 elements | |
| 11 | 〈a, b | aab=aa, bbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, aaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, aaaa=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=ab, aaaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, aaaa=bb〉 | Finite non-commutative monoid with 11 elements | 1 isomorphic |
| 11 | 〈a, b | aab=ab, aaab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, aaab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, aabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abab=aa〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aab=ab, abab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abba=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=ab, abba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, baaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, baaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, baaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, baaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, baba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, baba=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=ab, baba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, baba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, babb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, babb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, babb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, babb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbab=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=ab, bbab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbbb=aa〉 | Finite non-commutative monoid with 13 elements | 1 isomorphic |
| 11 | 〈a, b | aab=ab, bbbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, aaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, aaaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, aaaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, aaaa=bb〉 | Finite non-commutative monoid with 11 elements | |
| 11 | 〈a, b | aab=ba, abaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, abaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, abaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, abab=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aab=ba, abab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, abba=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=ba, abba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, abbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, abbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, abbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, abbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, baaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, baaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, baaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, baba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, babb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, babb=ab〉 | Infinite commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aab=ba, babb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, babb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, bbaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, bbab=aa〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aab=ba, bbab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, bbab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, bbab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=ba, bbba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, bbbb=aa〉 | Finite non-commutative monoid with 13 elements | |
| 11 | 〈a, b | aab=ba, bbbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, bbbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, bbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, aaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, aaaa=ab〉 | Finite non-commutative monoid with 12 elements | 1 isomorphic |
| 11 | 〈a, b | aab=bb, aaaa=ba〉 | Finite non-commutative monoid with 12 elements | |
| 11 | 〈a, b | aab=bb, aaaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, aaab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, aaab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=bb, aaba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, aaba=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=bb, aabb=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aab=bb, abaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abab=aa〉 | Finite non-commutative monoid with 14 elements | |
| 11 | 〈a, b | aab=bb, abab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abbb=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=bb, abbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, abbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, baaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, baaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, baaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, baaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, baba=aa〉 | Finite non-commutative monoid with 18 elements | |
| 11 | 〈a, b | aab=bb, baba=ab〉 | Infinite non-commutative monoid | 4 isomorphic |
| 11 | 〈a, b | aab=bb, baba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, baba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, babb=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=bb, babb=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=bb, babb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbba=ab〉 | Infinite non-commutative monoid | 1 isomorphic, 2 anti-isomorphic |
| 11 | 〈a, b | aab=bb, bbba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aaaa=bb〉 | Finite non-commutative monoid with 20 elements | |
| 11 | 〈a, b | aba=aa, aaab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aaab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aaab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aaab=bb〉 | Finite non-commutative monoid with 20 elements | |
| 11 | 〈a, b | aba=aa, aabb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aabb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aabb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, aabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, abba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, abba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, abbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, abbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, abbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, abbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, baab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, baab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, baab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, babb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, babb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, babb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, babb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, bbbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, bbbb=ab〉 | Finite non-commutative monoid with 16 elements | |
| 11 | 〈a, b | aba=aa, bbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, aaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, aaaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, aaab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, aaab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, aaab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, aabb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, aabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, abaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, abab=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aba=ab, abab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=ab, abbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, abbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, abbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, baaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, baaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, baaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, baab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, baba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, babb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, babb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, babb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=ab, bbba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, aaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, aaaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, aaab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, aaab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, aaab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, aabb=aa〉 | Finite non-commutative monoid with 12 elements | 2 isomorphic |
| 11 | 〈a, b | aba=bb, aabb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, aabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, abab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=bb, abba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, abbb=aa〉 | Finite non-commutative monoid with 13 elements | 1 isomorphic |
| 11 | 〈a, b | aba=bb, abbb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=bb, baab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, babb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, bbbb=aa〉 | Finite non-commutative monoid with 14 elements | |
| 11 | 〈a, b | aba=bb, bbbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, bbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, abb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bab=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=aa, bbb=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, abb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ab, bab=aaa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=ab, bbb=aaa〉 | Finite non-commutative monoid with 13 elements | 1 isomorphic |
| 11 | 〈a, b | aab=ba, abb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, bab=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=ba, bbb=aaa〉 | Finite non-commutative monoid with 13 elements | |
| 11 | 〈a, b | aab=bb, abb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=bb, bab=aaa〉 | Finite non-commutative monoid with 17 elements | |
| 11 | 〈a, b | aab=bb, bbb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, abb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, abb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, baa=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, bab=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, bbb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=aa, bbb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, abb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, baa=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bba=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ab, bbb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=ba, baa=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, abb=aaa〉 | Finite non-commutative monoid with 20 elements | |
| 11 | 〈a, b | aba=bb, baa=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, baa=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=bb, bab=aaa〉 | Finite non-commutative monoid with 75 elements | |
| 11 | 〈a, b | aba=bb, bbb=aaa〉 | Finite non-commutative monoid with 51 elements | |
| 11 | 〈a, b | abb=aa, bbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abb=bb, bbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | bab=bb, bbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, aabaabb=1〉 | Infinite non-Abelian group | 4 isomorphic |
| 11 | 〈a, b | aaaa=1, aababbb=1〉 | Finite non-Abelian group with 272 elements | 4 isomorphic, 3 anti-isomorphic |
| 11 | 〈a, b | aaaa=1, aabbbbb=1〉 | Infinite non-Abelian group | 4 isomorphic |
| 11 | 〈a, b | aaaa=1, ababbbb=1〉 | Finite non-Abelian group with 480 elements | 3 isomorphic |
| 11 | 〈a, b | aaaa=1, bbbbbbb=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aabb=1, aaaabab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=1, aaababb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=1, aababab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aaaaaaa=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | abab=1, aaaaabb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aaaabbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aaabbab=1〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | abab=1, aaabbba=1〉 | Finite non-Abelian group with 48 elements | 6 isomorphic |
| 11 | 〈a, b | abab=1, aabaabb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aabbbab=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, aaabab=b〉 | Finite non-commutative monoid with 20 elements | 1 isomorphic |
| 11 | 〈a, b | aaaa=1, aabaab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, aababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, aabbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, abaaba=b〉 | Finite non-commutative monoid with 100 elements | |
| 11 | 〈a, b | aaaa=1, ababbb=b〉 | Finite non-commutative monoid with 52 elements | 1 isomorphic |
| 11 | 〈a, b | aaaa=1, abbbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, abbbba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, abbbbb=b〉 | Finite non-commutative monoid with 68 elements | |
| 11 | 〈a, b | aaaa=1, baaabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, baabab=a〉 | Finite non-Abelian group with 60 elements | |
| 11 | 〈a, b | aaaa=1, baabab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, baabbb=a〉 | Finite non-Abelian group with 272 elements | |
| 11 | 〈a, b | aaaa=1, baabbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, bababb=a〉 | Finite non-Abelian group with 272 elements | |
| 11 | 〈a, b | aaaa=1, bababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, babbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, babbbb=a〉 | Finite non-Abelian group with 1020 elements | |
| 11 | 〈a, b | aaaa=1, babbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, bbaabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, bbabbb=a〉 | Finite non-Abelian group with 260 elements | |
| 11 | 〈a, b | aaaa=1, bbabbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, bbbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=1, aaabab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=1, aaabab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=1, aababb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aaaabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aaaabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aaabbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aabbaa=b〉 | Finite non-Abelian group with 48 elements | |
| 11 | 〈a, b | abab=1, aabbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, abbaaa=b〉 | Finite non-Abelian group with 54 elements | 1 isomorphic |
| 11 | 〈a, b | aaaa=1, aabab=ab〉 | Finite non-commutative monoid with 20 elements | 1 isomorphic |
| 11 | 〈a, b | aaaa=1, aabab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, aabbb=ba〉 | Finite non-commutative monoid with 148 elements | |
| 11 | 〈a, b | aaaa=1, aabbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, abaab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, abaab=ba〉 | Finite non-commutative monoid with 64 elements | |
| 11 | 〈a, b | aaaa=1, abaab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, ababa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, ababb=ab〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 11 | 〈a, b | aaaa=1, ababb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, abbab=ba〉 | Finite non-commutative monoid with 684 elements | |
| 11 | 〈a, b | aaaa=1, abbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, abbbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, abbbb=ba〉 | Finite non-commutative monoid with 1024 elements | |
| 11 | 〈a, b | aaaa=1, abbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, baaab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, baabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, babab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, babbb=ab〉 | Finite non-commutative monoid with 244 elements | |
| 11 | 〈a, b | aaaa=1, babbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, babbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, bbabb=ab〉 | Finite non-commutative monoid with 244 elements | |
| 11 | 〈a, b | aaaa=1, bbabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaaa=1, bbbbb=ab〉 | Finite non-commutative monoid with 68 elements | |
| 11 | 〈a, b | aaaa=1, bbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=1, aabab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=1, aabab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=1, aabab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aabb=1, aabab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aaaaa=bb〉 | Finite non-Abelian group with 70 elements | |
| 11 | 〈a, b | abab=1, aaabb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aaabb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aaabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | abab=1, aabba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbbbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=a, bbbbbbb=1〉 | Finite non-commutative monoid with 56 elements | |
| 11 | 〈a, b | aab=b, aaaaaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbbbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, aaaaaaa=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, aaaaabb=1〉 | Finite non-Abelian group with 20 elements | 3 isomorphic |
| 11 | 〈a, b | aba=b, aaabbbb=1〉 | Finite non-Abelian group with 24 elements | 7 isomorphic |
| 11 | 〈a, b | aaa=a, aaabaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aababa=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaa=a, aababa=b〉 | Finite non-commutative monoid with 7 elements | |
| 11 | 〈a, b | aaa=a, aababb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, aababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabbaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabbba=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, aabbba=b〉 | Finite non-commutative monoid with 11 elements | |
| 11 | 〈a, b | aaa=a, aabbbb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, aabbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abaabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, ababba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, ababba=b〉 | Finite non-commutative monoid with 23 elements | |
| 11 | 〈a, b | aaa=a, ababbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, ababbb=b〉 | Finite non-commutative monoid with 21 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=a, abbabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbbab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbbba=b〉 | Finite non-commutative monoid with 33 elements | |
| 11 | 〈a, b | aaa=a, abbbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbbbb=b〉 | Finite non-commutative monoid with 27 elements | |
| 11 | 〈a, b | aaa=a, baabab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, baabbb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, baabbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bababb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babbab=a〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aaa=a, babbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbaabb=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, bbaabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbabbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbabbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbbbbb=a〉 | Finite commutative monoid with 18 elements | |
| 11 | 〈a, b | aaa=a, bbbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=b, abbbbb=b〉 | Finite commutative monoid with 16 elements | 2 isomorphic |
| 11 | 〈a, b | aaa=b, bbbbbb=a〉 | Finite commutative monoid with 18 elements | |
| 11 | 〈a, b | aaa=b, bbbbbb=b〉 | Finite commutative monoid with 18 elements | |
| 11 | 〈a, b | aab=a, aaaaaa=a〉 | Infinite non-commutative monoid | 6 isomorphic |
| 11 | 〈a, b | aab=a, baaaaa=b〉 | Finite non-commutative monoid with 11 elements | |
| 11 | 〈a, b | aab=a, babbbb=a〉 | Infinite commutative monoid | 5 isomorphic |
| 11 | 〈a, b | aab=a, bbabbb=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aab=a, bbbabb=a〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aab=a, bbbbaa=a〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aab=a, bbbbab=a〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aab=a, bbbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=a, bbbbbb=a〉 | Finite commutative monoid with 13 elements | 4 isomorphic |
| 11 | 〈a, b | aab=a, bbbbbb=b〉 | Finite non-commutative monoid with 36 elements | |
| 11 | 〈a, b | aab=b, aaaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, abaaaa=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, ababaa=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, ababba=a〉 | Finite non-commutative monoid with 13 elements | 4 isomorphic |
| 11 | 〈a, b | aab=b, ababba=b〉 | Infinite non-commutative monoid | 1 isomorphic, 2 anti-isomorphic |
| 11 | 〈a, b | aab=b, abbaaa=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbbab=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbbba=a〉 | Finite non-commutative monoid with 17 elements | 4 isomorphic |
| 11 | 〈a, b | aab=b, abbbba=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, abbbbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, baaaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babbaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babbba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babbbb=a〉 | Finite non-commutative monoid with 31 elements | 1 isomorphic |
| 11 | 〈a, b | aab=b, babbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbaaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbabaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbabab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbabba=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, bbabbb=a〉 | Finite commutative monoid with 11 elements | 4 isomorphic |
| 11 | 〈a, b | aab=b, bbabbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, bbbaaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbbaa=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbbba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaaaab=b〉 | Finite non-commutative monoid with 11 elements | |
| 11 | 〈a, b | aba=a, aaaabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaabba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaabbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, baaaab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, baaabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, baabbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, babbbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=a, bbaabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbaabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbabbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, aaaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, aaaaab=b〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aba=b, aaabbb=b〉 | Infinite non-commutative monoid | 9 isomorphic |
| 11 | 〈a, b | aba=b, abbbbb=b〉 | Infinite commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aba=b, baaaab=a〉 | Finite non-commutative monoid with 21 elements | |
| 11 | 〈a, b | aba=b, baabbb=a〉 | Finite non-commutative monoid with 25 elements | 1 isomorphic |
| 11 | 〈a, b | aba=b, bbbbbb=b〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aaa=a, aaaab=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, aaaba=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, aaabb=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aaa=a, aaabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabaa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabab=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, aabab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabba=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, aabba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabbb=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, aabbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abaab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abaab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abaab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, ababa=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, ababa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, ababb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, ababb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, ababb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, baaab=ab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, baaab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, baabb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, baabb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, baabb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, baabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbabb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbbbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbbbb=ab〉 | Finite non-commutative monoid with 39 elements | |
| 11 | 〈a, b | aaa=a, bbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=b, bbbbb=ab〉 | Finite commutative monoid with 15 elements | |
| 11 | 〈a, b | aab=a, baaaa=bb〉 | Finite non-commutative monoid with 12 elements | |
| 11 | 〈a, b | aab=a, bbabb=ba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aab=a, bbbaa=ba〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aab=a, bbbab=ba〉 | Infinite non-commutative monoid | 1 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aab=a, bbbba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=a, bbbbb=ba〉 | Finite non-commutative monoid with 15 elements | 1 anti-isomorphic |
| 11 | 〈a, b | aab=a, bbbbb=bb〉 | Finite non-commutative monoid with 20 elements | |
| 11 | 〈a, b | aab=b, aaaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, aaaaa=ba〉 | Finite non-commutative monoid with 9 elements | |
| 11 | 〈a, b | aab=b, aaaaa=bb〉 | Finite commutative monoid with 9 elements | |
| 11 | 〈a, b | aab=b, aaaba=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, aaabb=bb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aab=b, aabaa=aa〉 | Finite non-commutative monoid with 8 elements | 2 isomorphic |
| 11 | 〈a, b | aab=b, aabaa=ba〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aab=b, aabaa=bb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aab=b, aabab=bb〉 | Infinite non-commutative monoid | 4 isomorphic |
| 11 | 〈a, b | aab=b, aabba=ba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aab=b, aabba=bb〉 | Infinite non-commutative monoid | 4 isomorphic |
| 11 | 〈a, b | aab=b, aabbb=aa〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aab=b, aabbb=bb〉 | Infinite non-commutative monoid | 5 isomorphic |
| 11 | 〈a, b | aab=b, abaaa=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abaaa=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, ababa=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, ababa=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, ababb=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, ababb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbaa=aa〉 | Finite non-commutative monoid with 14 elements | 2 isomorphic |
| 11 | 〈a, b | aab=b, abbaa=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbaa=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbab=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, abbba=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbba=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbbb=aa〉 | Finite commutative monoid with 10 elements | 5 isomorphic |
| 11 | 〈a, b | aab=b, abbbb=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbbb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, baaaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, baaaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babba=aa〉 | Finite non-commutative monoid with 14 elements | 1 isomorphic |
| 11 | 〈a, b | aab=b, babba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbaaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbaaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbaba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbaba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbabb=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, bbabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbaa=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbba=aa〉 | Finite non-commutative monoid with 18 elements | |
| 11 | 〈a, b | aab=b, bbbba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaaaa=bb〉 | Finite non-commutative monoid with 25 elements | |
| 11 | 〈a, b | aba=a, aaaab=bb〉 | Finite non-commutative monoid with 24 elements | |
| 11 | 〈a, b | aba=a, aaabb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaabb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabbb=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aba=a, ababb=aa〉 | Infinite non-commutative monoid | 2 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aba=a, ababb=ab〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aba=a, abbab=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, baaab=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=a, baaab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, baabb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, baabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, babab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, babbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, babbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbabb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbabb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbbbb=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, aaaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, aaaaa=bb〉 | Finite non-commutative monoid with 25 elements | |
| 11 | 〈a, b | aba=b, aaabb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=b, aabab=bb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aba=b, aabbb=bb〉 | Infinite non-commutative monoid | 6 isomorphic |
| 11 | 〈a, b | aba=b, abaab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=b, abbbb=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aba=b, baaab=aa〉 | Finite non-commutative monoid with 22 elements | |
| 11 | 〈a, b | aba=b, baaab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, babbb=aa〉 | Finite non-commutative monoid with 26 elements | |
| 11 | 〈a, b | aba=b, bbbbb=aa〉 | Finite commutative monoid with 12 elements | |
| 11 | 〈a, b | aba=b, bbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aaba=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aaba=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aaba=abb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=a, aaba=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aaba=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aaba=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aaba=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabb=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, aabb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abab=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abab=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abab=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abab=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abab=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abba=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abba=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abba=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbb=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, abbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, baab=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, baab=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, baab=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, baab=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, baab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babb=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babb=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, babb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbbb=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbbb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=a, bbbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=b, abbb=bbb〉 | Finite commutative monoid with 10 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=b, bbbb=abb〉 | Finite commutative monoid with 12 elements | 2 isomorphic |
| 11 | 〈a, b | aab=a, baaa=bbb〉 | Finite non-commutative monoid with 13 elements | |
| 11 | 〈a, b | aab=a, bbaa=bbb〉 | Finite non-commutative monoid with 12 elements | |
| 11 | 〈a, b | aab=a, bbba=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=a, bbbb=baa〉 | Finite non-commutative monoid with 14 elements | |
| 11 | 〈a, b | aab=a, bbbb=bab〉 | Finite non-commutative monoid with 10 elements | |
| 11 | 〈a, b | aab=a, bbbb=bba〉 | Finite non-commutative monoid with 13 elements | |
| 11 | 〈a, b | aab=a, bbbb=bbb〉 | Finite non-commutative monoid with 8 elements | |
| 11 | 〈a, b | aab=b, aaaa=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, aaaa=aba〉 | Finite non-commutative monoid with 8 elements | |
| 11 | 〈a, b | aab=b, aaaa=abb〉 | Finite commutative monoid with 8 elements | 1 isomorphic |
| 11 | 〈a, b | aab=b, aaaa=baa〉 | Finite non-commutative monoid with 10 elements | |
| 11 | 〈a, b | aab=b, aaaa=bba〉 | Finite non-commutative monoid with 12 elements | |
| 11 | 〈a, b | aab=b, aaaa=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, aaba=aaa〉 | Finite non-commutative monoid with 7 elements | |
| 11 | 〈a, b | aab=b, abaa=aaa〉 | Finite non-commutative monoid with 9 elements | |
| 11 | 〈a, b | aab=b, abaa=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, abaa=bab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abaa=bba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abaa=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abab=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, abab=bba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abab=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abba=aaa〉 | Finite non-commutative monoid with 11 elements | 1 isomorphic |
| 11 | 〈a, b | aab=b, abba=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, abba=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aab=b, abbb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, abbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, baaa=aaa〉 | Finite non-commutative monoid with 11 elements | |
| 11 | 〈a, b | aab=b, baaa=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, baaa=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, baaa=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, baaa=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, baba=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, baba=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, baba=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, baba=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babb=aaa〉 | Finite commutative monoid with 9 elements | 3 isomorphic |
| 11 | 〈a, b | aab=b, babb=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, babb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbaa=aaa〉 | Finite non-commutative monoid with 15 elements | |
| 11 | 〈a, b | aab=b, bbaa=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbaa=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbaa=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbaa=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbab=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbab=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbab=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbba=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbba=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbba=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbba=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbba=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbb=aaa〉 | Finite commutative monoid with 11 elements | |
| 11 | 〈a, b | aab=b, bbbb=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=b, bbbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaaa=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaaa=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaaa=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaaa=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaab=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaab=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaab=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aaba=baa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=a, aaba=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabb=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabb=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, aabb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abab=bbb〉 | Finite non-commutative monoid with 9 elements | |
| 11 | 〈a, b | aba=a, abba=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abba=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abba=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abba=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbb=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbb=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, abbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, baab=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, baab=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, baab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, babb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, babb=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, babb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, babb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, babb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbbb=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbbb=aab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=a, bbbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, aaaa=aaa〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aba=b, aaaa=abb〉 | Finite non-commutative monoid with 16 elements | |
| 11 | 〈a, b | aba=b, aaaa=bab〉 | Finite non-commutative monoid with 24 elements | |
| 11 | 〈a, b | aba=b, aaaa=bbb〉 | Finite commutative monoid with 10 elements | |
| 11 | 〈a, b | aba=b, aabb=abb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aba=b, aabb=bab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=b, aabb=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=b, abbb=abb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aba=b, abbb=bab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aba=b, baab=aaa〉 | Finite non-commutative monoid with 23 elements | |
| 11 | 〈a, b | aba=b, baab=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, baab=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, baab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, bbbb=aaa〉 | Finite non-commutative monoid with 27 elements | |
| 11 | 〈a, b | aba=b, bbbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aba=b, bbbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=aa, bbbbbbb=1〉 | Finite non-commutative monoid with 56 elements | |
| 11 | 〈a, b | ba=ab, aaaaaaa=1〉 | Infinite commutative monoid | |
| 11 | 〈a, b | ab=aa, aaaaaa=a〉 | Infinite non-commutative monoid | 31 isomorphic |
| 11 | 〈a, b | ab=aa, baaaaa=a〉 | Infinite commutative monoid | 15 isomorphic |
| 11 | 〈a, b | ab=aa, baaaaa=b〉 | Finite non-commutative monoid with 12 elements | 30 isomorphic |
| 11 | 〈a, b | ab=aa, bbaaaa=a〉 | Infinite non-commutative monoid | 7 isomorphic |
| 11 | 〈a, b | ab=aa, bbbaaa=a〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | ab=aa, bbbbaa=a〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | ab=aa, bbbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=aa, bbbbbb=b〉 | Finite non-commutative monoid with 42 elements | |
| 11 | 〈a, b | ba=ab, aaaaaa=a〉 | Infinite commutative monoid | |
| 11 | 〈a, b | ba=ab, aaaaab=a〉 | Infinite commutative monoid | 2 isomorphic |
| 11 | 〈a, b | ba=ab, aaaaab=b〉 | Infinite commutative monoid | 2 isomorphic |
| 11 | 〈a, b | ba=ab, aaaabb=a〉 | Infinite commutative monoid | 8 isomorphic |
| 11 | 〈a, b | ba=ab, aaaabb=b〉 | Infinite commutative monoid | 8 isomorphic |
| 11 | 〈a, b | ba=ab, aaabbb=a〉 | Infinite commutative monoid | 9 isomorphic |
| 11 | 〈a, b | bb=aa, aaaaab=a〉 | Finite commutative monoid with 12 elements | 15 isomorphic |
| 11 | 〈a, b | ab=aa, aaaaa=aa〉 | Infinite non-commutative monoid | 31 isomorphic |
| 11 | 〈a, b | ab=aa, aaaaa=ba〉 | Infinite non-commutative monoid | 15 isomorphic |
| 11 | 〈a, b | ab=aa, aaaaa=bb〉 | Finite non-commutative monoid with 9 elements | 15 isomorphic |
| 11 | 〈a, b | ab=aa, baaaa=aa〉 | Infinite non-commutative monoid | 15 isomorphic |
| 11 | 〈a, b | ab=aa, baaaa=ba〉 | Infinite non-commutative monoid | 7 isomorphic |
| 11 | 〈a, b | ab=aa, baaaa=bb〉 | Finite non-commutative monoid with 12 elements | 7 isomorphic |
| 11 | 〈a, b | ab=aa, bbaaa=aa〉 | Infinite non-commutative monoid | 7 isomorphic |
| 11 | 〈a, b | ab=aa, bbaaa=ba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | ab=aa, bbaaa=bb〉 | Finite non-commutative monoid with 15 elements | 6 isomorphic |
| 11 | 〈a, b | ab=aa, bbbaa=aa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | ab=aa, bbbaa=ba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | ab=aa, bbbba=aa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | ab=aa, bbbba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=aa, bbbbb=aa〉 | Finite non-commutative monoid with 14 elements | 1 isomorphic |
| 11 | 〈a, b | ab=aa, bbbbb=ba〉 | Finite non-commutative monoid with 14 elements | |
| 11 | 〈a, b | ab=aa, bbbbb=bb〉 | Finite non-commutative monoid with 30 elements | |
| 11 | 〈a, b | ba=ab, aaaaa=aa〉 | Infinite commutative monoid | |
| 11 | 〈a, b | ba=ab, aaaaa=ab〉 | Infinite commutative monoid | |
| 11 | 〈a, b | ba=ab, aaaaa=bb〉 | Infinite commutative monoid | |
| 11 | 〈a, b | ba=ab, aaaab=aa〉 | Infinite commutative monoid | 2 isomorphic |
| 11 | 〈a, b | ba=ab, aaaab=ab〉 | Infinite commutative monoid | 4 isomorphic |
| 11 | 〈a, b | ba=ab, aaaab=bb〉 | Infinite commutative monoid | 2 isomorphic |
| 11 | 〈a, b | ba=ab, aaabb=aa〉 | Infinite commutative monoid | 5 isomorphic |
| 11 | 〈a, b | ba=ab, aaabb=ab〉 | Infinite commutative monoid | 9 isomorphic |
| 11 | 〈a, b | ba=ab, aaabb=bb〉 | Infinite commutative monoid | 5 isomorphic |
| 11 | 〈a, b | bb=aa, aaaaa=aa〉 | Infinite non-commutative monoid | 17 isomorphic |
| 11 | 〈a, b | bb=aa, aaaaa=ab〉 | Finite non-commutative monoid with 11 elements | 7 isomorphic |
| 11 | 〈a, b | bb=aa, aaaab=ab〉 | Finite non-commutative monoid with 11 elements | 7 isomorphic |
| 11 | 〈a, b | bb=aa, ababa=aa〉 | Finite non-commutative monoid with 18 elements | 1 isomorphic |
| 11 | 〈a, b | ab=aa, aaaa=aaa〉 | Infinite non-commutative monoid | 31 isomorphic |
| 11 | 〈a, b | ab=aa, aaaa=baa〉 | Infinite non-commutative monoid | 15 isomorphic |
| 11 | 〈a, b | ab=aa, aaaa=bba〉 | Infinite non-commutative monoid | 7 isomorphic |
| 11 | 〈a, b | ab=aa, aaaa=bbb〉 | Finite non-commutative monoid with 13 elements | 7 isomorphic |
| 11 | 〈a, b | ab=aa, baaa=aaa〉 | Infinite non-commutative monoid | 15 isomorphic |
| 11 | 〈a, b | ab=aa, baaa=baa〉 | Infinite non-commutative monoid | 7 isomorphic |
| 11 | 〈a, b | ab=aa, baaa=bba〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | ab=aa, baaa=bbb〉 | Finite non-commutative monoid with 13 elements | 3 isomorphic |
| 11 | 〈a, b | ab=aa, bbaa=aaa〉 | Infinite non-commutative monoid | 7 isomorphic |
| 11 | 〈a, b | ab=aa, bbaa=baa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | ab=aa, bbaa=bba〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | ab=aa, bbaa=bbb〉 | Finite non-commutative monoid with 14 elements | 1 isomorphic |
| 11 | 〈a, b | ab=aa, bbba=aaa〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | ab=aa, bbba=baa〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | ab=aa, bbba=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=aa, bbba=bbb〉 | Finite non-commutative monoid with 16 elements | |
| 11 | 〈a, b | ab=aa, bbbb=aaa〉 | Finite non-commutative monoid with 14 elements | 3 isomorphic |
| 11 | 〈a, b | ab=aa, bbbb=baa〉 | Finite non-commutative monoid with 14 elements | 1 isomorphic |
| 11 | 〈a, b | ab=aa, bbbb=bba〉 | Finite non-commutative monoid with 14 elements | |
| 11 | 〈a, b | ab=aa, bbbb=bbb〉 | Finite non-commutative monoid with 20 elements | |
| 11 | 〈a, b | ba=ab, aaaa=aaa〉 | Infinite commutative monoid | |
| 11 | 〈a, b | ba=ab, aaaa=aab〉 | Infinite commutative monoid | 1 isomorphic |
| 11 | 〈a, b | ba=ab, aaaa=abb〉 | Infinite commutative monoid | 1 isomorphic |
| 11 | 〈a, b | ba=ab, aaaa=bbb〉 | Infinite commutative monoid | |
| 11 | 〈a, b | ba=ab, aaab=aaa〉 | Infinite commutative monoid | 1 isomorphic |
| 11 | 〈a, b | ba=ab, aaab=aab〉 | Infinite commutative monoid | 5 isomorphic |
| 11 | 〈a, b | ba=ab, aaab=abb〉 | Infinite commutative monoid | 5 isomorphic |
| 11 | 〈a, b | ba=ab, aaab=bbb〉 | Infinite commutative monoid | 1 isomorphic |
| 11 | 〈a, b | ba=ab, aabb=aaa〉 | Infinite commutative monoid | 3 isomorphic |
| 11 | 〈a, b | ba=ab, aabb=aab〉 | Infinite commutative monoid | 9 isomorphic |
| 11 | 〈a, b | bb=aa, aaaa=aaa〉 | Infinite non-commutative monoid | 10 isomorphic |
| 11 | 〈a, b | bb=aa, aaaa=aba〉 | Finite non-commutative monoid with 12 elements | 4 isomorphic |
| 11 | 〈a, b | bb=aa, aaab=aaa〉 | Infinite non-commutative monoid | 11 isomorphic |
| 11 | 〈a, b | bb=aa, aaab=aba〉 | Finite non-commutative monoid with 12 elements | 3 isomorphic |
| 11 | 〈a, b | bb=aa, abab=aaa〉 | Finite non-commutative monoid with 14 elements | 2 anti-isomorphic |
| 11 | 〈a, b | bb=aa, abab=aba〉 | Finite non-commutative monoid with 12 elements | |
| 11 | 〈a, b | aaa=1, aababbbb=1〉 | Finite non-Abelian group with 195 elements | 2 anti-isomorphic |
| 11 | 〈a, b | aaa=1, aabbbabb=1〉 | Finite non-Abelian group with 105 elements | 3 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aaa=1, aabbbbab=1〉 | Finite non-Abelian group with 195 elements | 4 anti-isomorphic |
| 11 | 〈a, b | aaa=1, abababab=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaa=1, abababbb=1〉 | Finite non-Abelian group with 120 elements | 3 isomorphic |
| 11 | 〈a, b | aaa=1, ababbbbb=1〉 | Finite non-Abelian group with 432 elements | 3 isomorphic |
| 11 | 〈a, b | aaa=1, abbaabba=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaa=1, abbbabbb=1〉 | Infinite non-Abelian group | 1 isomorphic |
| 11 | 〈a, b | aaa=1, bbbbbbbb=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaa=1, aabaaba=b〉 | Finite non-commutative monoid with 24 elements | |
| 11 | 〈a, b | aaa=1, abaabba=b〉 | Finite non-commutative monoid with 339 elements | |
| 11 | 〈a, b | aaa=1, abababa=b〉 | Finite non-commutative monoid with 147 elements | |
| 11 | 〈a, b | aaa=1, abababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, ababbbb=b〉 | Finite non-commutative monoid with 111 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=1, abbabba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbabbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbbbba=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbbbbb=b〉 | Finite non-commutative monoid with 48 elements | |
| 11 | 〈a, b | aaa=1, baabaab=a〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaa=1, baabaab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, baababb=a〉 | Finite non-Abelian group with 84 elements | |
| 11 | 〈a, b | aaa=1, baababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, baabbab=a〉 | Finite non-Abelian group with 84 elements | |
| 11 | 〈a, b | aaa=1, baabbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, baabbbb=a〉 | Finite non-Abelian group with 120 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=1, baabbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babaabb=a〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaa=1, babaabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bababab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bababbb=a〉 | Finite non-Abelian group with 960 elements | |
| 11 | 〈a, b | aaa=1, bababbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babbabb=a〉 | Finite non-Abelian group with 105 elements | |
| 11 | 〈a, b | aaa=1, babbabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babbbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babbbbb=a〉 | Finite non-Abelian group with 378 elements | |
| 11 | 〈a, b | aaa=1, babbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbaabbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbababb=a〉 | Finite non-Abelian group with 120 elements | |
| 11 | 〈a, b | aaa=1, bbababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbabbbb=a〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaa=1, bbabbbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aaa=1, bbbabbb=a〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aaa=1, bbbbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abaaba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abaabb=ba〉 | Finite non-commutative monoid with 129 elements | |
| 11 | 〈a, b | aaa=1, ababab=ba〉 | Finite non-commutative monoid with 81 elements | |
| 11 | 〈a, b | aaa=1, ababab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, ababba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, ababbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbaab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbaab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbabb=ba〉 | Finite non-commutative monoid with 174 elements | |
| 11 | 〈a, b | aaa=1, abbbab=ba〉 | Finite non-commutative monoid with 660 elements | |
| 11 | 〈a, b | aaa=1, abbbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbbba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbbbb=ba〉 | Finite non-commutative monoid with 375 elements | |
| 11 | 〈a, b | aaa=1, abbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, baabab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, baabbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bababb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babbbb=ab〉 | Finite non-commutative monoid with 255 elements | |
| 11 | 〈a, b | aaa=1, babbbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbaabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbabbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbabbb=ba〉 | Finite non-commutative monoid with 255 elements | |
| 11 | 〈a, b | aaa=1, bbabbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbbbbb=ab〉 | Finite non-commutative monoid with 48 elements | |
| 11 | 〈a, b | aaa=1, bbbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, aabbb=baa〉 | Finite non-commutative monoid with 81 elements | 1 isomorphic |
| 11 | 〈a, b | aaa=1, abaab=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abaab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, ababa=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, ababb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, ababb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, ababb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbab=aba〉 | Finite non-commutative monoid with 21 elements | |
| 11 | 〈a, b | aaa=1, abbab=baa〉 | Finite non-commutative monoid with 339 elements | |
| 11 | 〈a, b | aaa=1, abbab=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbab=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbba=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbbb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, abbbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, baabb=aba〉 | Finite non-commutative monoid with 339 elements | |
| 11 | 〈a, b | aaa=1, baabb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, baabb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, baabb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, baabb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babab=aba〉 | Finite non-commutative monoid with 147 elements | |
| 11 | 〈a, b | aaa=1, babab=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babab=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babbb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbabb=aba〉 | Finite non-commutative monoid with 1083 elements | |
| 11 | 〈a, b | aaa=1, bbabb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbabb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbabb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbbbb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbbbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbbbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbbbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, baab=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, baba=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babb=abab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babb=abba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babb=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babb=baab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, babb=baba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbab=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbab=babb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbba=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbbb=abab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbbb=abba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbbb=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbbb=baab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aaa=1, bbbb=babb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aab=1, babb=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbbbbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbbbbbb=1〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abababa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abababb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbabba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbabbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbbab=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbbba=b〉 | Finite commutative monoid with 6 elements | |
| 11 | 〈a, b | aa=a, abbbbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbbbb=b〉 | Finite non-commutative monoid with 12 elements | |
| 11 | 〈a, b | aa=a, bababab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bababbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bababbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbabb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbabb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbbab=a〉 | Infinite commutative monoid | |
| 11 | 〈a, b | aa=a, babbbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbababb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbabbbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbabbbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=a, bbbabbb=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbbbbbb=a〉 | Finite commutative monoid with 14 elements | |
| 11 | 〈a, b | aa=a, bbbbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=b, bbbbbbb=b〉 | Finite commutative monoid with 14 elements | |
| 11 | 〈a, b | ab=a, aaaaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, baaaaaa=a〉 | Infinite commutative monoid | |
| 11 | 〈a, b | ab=a, baaaaaa=b〉 | Finite non-commutative monoid with 13 elements | |
| 11 | 〈a, b | ab=a, bbaaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbaaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbbaaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbbbaa=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbbbba=a〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababab=bb〉 | Finite non-commutative monoid with 16 elements | |
| 11 | 〈a, b | aa=a, ababbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbabb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbabb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbab=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbba=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbba=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bababb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bababb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bababb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbab=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbabbb=ab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbabbb=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbabbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbbbbb=ab〉 | Finite non-commutative monoid with 22 elements | |
| 11 | 〈a, b | aa=a, bbbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, aaaaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, aaaaaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, aaaaaa=bb〉 | Finite commutative monoid with 8 elements | |
| 11 | 〈a, b | ab=a, baaaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, baaaaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, baaaaa=bb〉 | Finite non-commutative monoid with 12 elements | |
| 11 | 〈a, b | ab=a, bbaaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbaaaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbaaaa=bb〉 | Finite non-commutative monoid with 14 elements | |
| 11 | 〈a, b | ab=a, bbbaaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbaaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbbaa=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbbaa=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbbba=aa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbbba=ba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbbbb=aa〉 | Finite commutative monoid with 8 elements | |
| 11 | 〈a, b | ab=a, bbbbbb=ba〉 | Finite non-commutative monoid with 8 elements | |
| 11 | 〈a, b | ab=a, bbbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, aabba=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababa=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababa=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababa=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababa=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, ababb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbab=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbab=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbab=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbab=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbba=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbba=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbba=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbba=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babab=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babab=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babab=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbabb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbabb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbabb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbabb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbbbb=aba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbbbb=abb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbbbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbbbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, aaaaa=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, aaaaa=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, aaaaa=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, aaaaa=bbb〉 | Finite commutative monoid with 8 elements | |
| 11 | 〈a, b | ab=a, baaaa=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, baaaa=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, baaaa=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, baaaa=bbb〉 | Finite non-commutative monoid with 11 elements | |
| 11 | 〈a, b | ab=a, bbaaa=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbaaa=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbaaa=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbaaa=bbb〉 | Finite non-commutative monoid with 12 elements | |
| 11 | 〈a, b | ab=a, bbbaa=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbaa=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbaa=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbaa=bbb〉 | Finite non-commutative monoid with 11 elements | |
| 11 | 〈a, b | ab=a, bbbba=aaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbba=baa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbba=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbbb=aaa〉 | Finite commutative monoid with 8 elements | |
| 11 | 〈a, b | ab=a, bbbbb=baa〉 | Finite non-commutative monoid with 9 elements | |
| 11 | 〈a, b | ab=a, bbbbb=bba〉 | Finite non-commutative monoid with 8 elements | |
| 11 | 〈a, b | ab=a, bbbbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abba=abab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbb=abab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, abbb=abba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, baba=abab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, baba=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babb=abab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babb=abba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babb=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, babb=baba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbab=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbab=babb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbba=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbbb=abab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbbb=abba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbbb=abbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=a, bbbb=babb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, baaa=aaaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbaa=aaaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbaa=baaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbba=aaaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbba=baaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbba=bbaa〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | ab=a, bbbb=aaaa〉 | Finite commutative monoid with 8 elements | |
| 11 | 〈a, b | ab=a, bbbb=baaa〉 | Finite non-commutative monoid with 10 elements | |
| 11 | 〈a, b | ab=a, bbbb=bbaa〉 | Finite non-commutative monoid with 10 elements | |
| 11 | 〈a, b | ab=a, bbbb=bbba〉 | Finite non-commutative monoid with 8 elements | |
| 11 | 〈a, b | aa=1, abababbbb=1〉 | Finite non-Abelian group with 96 elements | 6 isomorphic |
| 11 | 〈a, b | aa=1, ababbabbb=1〉 | Finite non-Abelian group with 60 elements | 4 isomorphic |
| 11 | 〈a, b | aa=1, ababbbabb=1〉 | Finite non-Abelian group with 60 elements | 6 isomorphic |
| 11 | 〈a, b | aa=1, ababbbbbb=1〉 | Finite non-Abelian group with 70 elements | 5 isomorphic |
| 11 | 〈a, b | aa=1, abbabbabb=1〉 | Infinite non-Abelian group | 1 anti-isomorphic |
| 11 | 〈a, b | aa=1, abbabbbbb=1〉 | Finite non-Abelian group with 42 elements | 5 isomorphic |
| 11 | 〈a, b | aa=1, bbbbbbbbb=1〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aa=1, abababba=b〉 | Finite non-commutative monoid with 56 elements | 2 isomorphic |
| 11 | 〈a, b | aa=1, ababbaba=b〉 | Finite non-commutative monoid with 50 elements | 2 isomorphic |
| 11 | 〈a, b | aa=1, ababbbba=b〉 | Finite non-commutative monoid with 138 elements | 2 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aa=1, ababbbbb=b〉 | Finite non-commutative monoid with 62 elements | 2 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aa=1, abbabbba=b〉 | Finite non-commutative monoid with 74 elements | 2 isomorphic |
| 11 | 〈a, b | aa=1, abbabbbb=b〉 | Finite non-commutative monoid with 22 elements | 3 isomorphic |
| 11 | 〈a, b | aa=1, abbbbbab=b〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 11 | 〈a, b | aa=1, abbbbbba=b〉 | Finite non-commutative monoid with 72 elements | 2 isomorphic |
| 11 | 〈a, b | aa=1, abbbbbbb=b〉 | Finite non-commutative monoid with 26 elements | 1 isomorphic |
| 11 | 〈a, b | aa=1, babababb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bababbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bababbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbabbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbbabb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, babbbbab=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbababbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbabbabb=a〉 | Infinite non-Abelian group | |
| 11 | 〈a, b | aa=1, bbabbbbb=b〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, bbbbbbbb=b〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, abababa=bb〉 | Finite non-commutative monoid with 64 elements | 2 isomorphic |
| 11 | 〈a, b | aa=1, ababbab=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, ababbba=bb〉 | Infinite non-commutative monoid | 2 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aa=1, ababbbb=bb〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aa=1, abbabab=ba〉 | Finite non-commutative monoid with 56 elements | |
| 11 | 〈a, b | aa=1, abbabab=bb〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 11 | 〈a, b | aa=1, abbabba=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aa=1, abbbabb=ba〉 | Finite non-commutative monoid with 74 elements | |
| 11 | 〈a, b | aa=1, abbbabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, abbbbab=bb〉 | Infinite non-commutative monoid | 1 anti-isomorphic |
| 11 | 〈a, b | aa=1, abbbbba=bb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aa=1, abbbbbb=bb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, bababab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bababbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbabb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbbab=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbababb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbabbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbbabbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbbbbbb=bb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, ababab=bab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, ababab=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, ababba=bab〉 | Infinite non-commutative monoid | 3 isomorphic |
| 11 | 〈a, b | aa=1, ababba=bbb〉 | Infinite non-commutative monoid | 2 isomorphic, 1 anti-isomorphic |
| 11 | 〈a, b | aa=1, ababbb=bab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, ababbb=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, abbabb=bab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, abbabb=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, abbbab=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, abbbba=bab〉 | Finite non-commutative monoid with 500 elements | 2 isomorphic |
| 11 | 〈a, b | aa=1, abbbba=bbb〉 | Infinite non-commutative monoid | 2 isomorphic |
| 11 | 〈a, b | aa=1, abbbbb=bab〉 | Finite non-commutative monoid with 82 elements | 1 isomorphic |
| 11 | 〈a, b | aa=1, abbbbb=bbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, bababb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bababb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbab=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbab=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbabbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbabbb=bba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbabbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbbbbb=bab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbbbbb=bbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, ababb=babb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, ababb=bbab〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, ababb=bbbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, abbab=bbab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, abbab=bbbb〉 | Infinite non-commutative monoid | 1 isomorphic |
| 11 | 〈a, b | aa=1, abbbb=bbbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babab=bbbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbb=baba〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbb=babb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbb=bbab〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, babbb=bbbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbabb=babb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbabb=bbbb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbbbb=babb〉 | Infinite non-commutative monoid | |
| 11 | 〈a, b | aa=1, bbbbb=bbbb〉 | Infinite non-commutative monoid |