| 1 | a | b | a2 | ba | |
|---|---|---|---|---|---|
| 1 | 1 | a | b | a2 | ba |
| a | a | a2 | a2 | a | a |
| b | b | ba | ba | b | b |
| a2 | a2 | a | a | a2 | a2 |
| ba | ba | b | b | ba | ba |
| Length: | Presentation: | Description: | Related: |
|---|---|---|---|
| 6 | 〈a, b | aa=b, abb=1〉 | Isomorphic to ℤ5 | 1132 isomorphic |
| 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 | ab=a, baa=b〉 | Finite non-commutative monoid with 5 elements | 43 isomorphic |
| 8 | 〈a, b | aaa=b, aab=b〉 | Finite commutative monoid with 5 elements | 27 isomorphic |
| 8 | 〈a, b | aab=b, aba=a〉 | Finite non-commutative monoid with 5 elements | 8 isomorphic |
| 8 | 〈a, b | ab=a, bbbb=a〉 | Finite commutative monoid with 5 elements | 32 isomorphic |
| 8 | 〈a, b | ab=a, aaa=bb〉 | Finite commutative monoid with 5 elements | 19 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 |
| 9 | 〈a, b | aab=aa, bba=b〉 | Finite non-commutative monoid with 5 elements | 9 isomorphic |
| 9 | 〈a, b | aab=b, aaba=a〉 | Finite non-commutative monoid with 5 elements | 10 isomorphic |
| 10 | 〈a, b | aa=a, abbbba=b〉 | Finite commutative monoid with 5 elements | 3 isomorphic |
| 11 | 〈a, b | aabb=a, baabb=b〉 | Finite non-commutative monoid with 5 elements | 10 isomorphic, 3 anti-isomorphic |
| 11 | 〈a, b | aaa=aa, abbba=b〉 | Finite commutative monoid with 5 elements |
| Length: | Presentation: |
|---|---|
| 10 | 〈a, b | aab=a, baaab=b〉 |
| 10 | 〈a, b | aab=a, baaba=b〉 |
| 10 | 〈a, b | aab=a, babaa=b〉 |
| 10 | 〈a, b | aab=a, babbb=b〉 |
| 10 | 〈a, b | aab=a, bbaaa=b〉 |
| 10 | 〈a, b | aab=a, bbabb=b〉 |
| 10 | 〈a, b | aab=a, bbbab=b〉 |
| 10 | 〈a, b | aab=a, bbbba=b〉 |