| 1 | a | b | a2 | ab | |
|---|---|---|---|---|---|
| 1 | 1 | a | b | a2 | ab |
| a | a | a2 | ab | a | b |
| b | b | a2 | ab | a | b |
| a2 | a2 | a | b | a2 | ab |
| ab | ab | a | b | a2 | ab |
| 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=a, baa=b〉 | 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=b, aaaba=a〉 |
| 10 | 〈a, b | aab=b, aabaa=a〉 |
| 10 | 〈a, b | aab=b, abaaa=a〉 |
| 10 | 〈a, b | aab=b, baaaa=a〉 |
| 10 | 〈a, b | aba=a, aaabb=b〉 |
| 10 | 〈a, b | aba=a, aabab=b〉 |
| 10 | 〈a, b | aba=a, abaab=b〉 |
| 10 | 〈a, b | aba=a, abbbb=b〉 |