| 1 | a | b | a2 | ab | ba | aba | |
|---|---|---|---|---|---|---|---|
| 1 | 1 | a | b | a2 | ab | ba | aba |
| a | a | a2 | ab | a | b | aba | ba |
| b | b | ba | b | b | ba | ba | b |
| a2 | a2 | a | b | a2 | ab | ba | aba |
| ab | ab | aba | ab | ab | aba | aba | ab |
| ba | ba | b | ba | ba | b | b | ba |
| aba | aba | ab | aba | aba | ab | ab | aba |
| Length: | Presentation: | Description: | Related: |
|---|---|---|---|
| 7 | 〈a, b | aaa=b, abb=1〉 | Isomorphic to ℤ7 | 763 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 | aa=b, abbb=b〉 | Finite commutative monoid with 7 elements | 82 isomorphic |
| 8 | 〈a, b | ab=a, baaa=b〉 | Finite non-commutative monoid with 7 elements | 34 isomorphic |
| 9 | 〈a, b | aaa=ab, baa=b〉 | Finite non-commutative monoid with 7 elements | |
| 9 | 〈a, b | aaa=bb, aab=b〉 | Finite commutative monoid with 7 elements | 5 isomorphic |
| 9 | 〈a, b | aab=aa, bbb=a〉 | Finite commutative monoid with 7 elements | 35 isomorphic |
| 9 | 〈a, b | aab=ab, bbb=a〉 | Finite commutative monoid with 7 elements | 50 isomorphic |
| 9 | 〈a, b | aab=a, baaa=b〉 | Finite non-commutative monoid with 7 elements | 10 isomorphic |
| 9 | 〈a, b | aab=b, babb=a〉 | Finite commutative monoid with 7 elements | 20 isomorphic |
| 9 | 〈a, b | aba=a, aaab=b〉 | Finite non-commutative monoid with 7 elements | 5 isomorphic |
| 9 | 〈a, b | ab=aa, aaa=bb〉 | Finite non-commutative monoid with 7 elements | 3 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 | ab=a, bbb=baa〉 | Finite non-commutative monoid with 7 elements | 5 isomorphic |
| 10 | 〈a, b | aba=aaa, abb=b〉 | Finite non-commutative monoid with 7 elements | |
| 10 | 〈a, b | aba=aaa, baa=b〉 | Finite non-commutative monoid with 7 elements | |
| 10 | 〈a, b | abb=aab, bbb=a〉 | Finite commutative monoid with 7 elements | 42 isomorphic |
| 10 | 〈a, b | aaab=a, baaa=b〉 | Finite non-commutative monoid with 7 elements | 8 isomorphic |
| 10 | 〈a, b | aaab=b, aaba=a〉 | Finite non-commutative monoid with 7 elements | 1 isomorphic |
| 10 | 〈a, b | aaa=a, aabba=b〉 | Finite non-commutative monoid with 7 elements | |
| 10 | 〈a, b | ab=a, aaaaa=bb〉 | Finite commutative monoid with 7 elements | 5 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, aaaa=bbb〉 | Finite commutative monoid with 7 elements | 4 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=bba〉 | Finite non-commutative monoid with 7 elements | 1 isomorphic |
| 11 | 〈a, b | aaab=b, aaaba=a〉 | Finite non-commutative monoid with 7 elements | 3 isomorphic |
| 11 | 〈a, b | abba=b, aabab=a〉 | Finite non-commutative monoid with 7 elements | 1 isomorphic |
| 11 | 〈a, b | aab=b, aaba=aaa〉 | Finite non-commutative monoid with 7 elements |