| Σ | # | Presentation | Description | Related |
|---|
| 6 | 57 | ⟨a, b | aa=a, bb=a⟩ | Isomorphic to ℕ(4 = 2) | 37 iso |
| 6 | 59 | ⟨a, b | aa=b, ab=a⟩ | Isomorphic to ℕ(3 = 1) | 61 iso |
| 6 | 60 | ⟨a, b | aa=b, ab=b⟩ | Isomorphic to ℕ(3 = 2) | 23 iso |
| 6 | 61 | ⟨a, b | aa=b, bb=a⟩ | Isomorphic to ℕ(4 = 1) | 72 iso |
| 7 | 159 | ⟨a, b | ab=aa, bb=a⟩ | Isomorphic to ℕ(4 = 3) | 16 iso |
| 7 | 236 | ⟨a, b | aa=a, aaa=b⟩ | Isomorphic to ℕ(2 = 1) | 46 iso |
| 7 | 245 | ⟨a, b | aa=a, bbb=a⟩ | Isomorphic to ℕ(6 = 3) | 49 iso |
| 7 | 253 | ⟨a, b | aa=b, abb=a⟩ | Isomorphic to ℕ(5 = 1) | 71 iso |
| 7 | 254 | ⟨a, b | aa=b, abb=b⟩ | Isomorphic to ℕ(5 = 2) | 43 iso |
| 7 | 257 | ⟨a, b | aa=b, bbb=a⟩ | Isomorphic to ℕ(6 = 1) | 61 iso |
| 7 | 258 | ⟨a, b | aa=b, bbb=b⟩ | Isomorphic to ℕ(6 = 2) | 55 iso |
| 7 | 280 | ⟨a, b | ab=a, bb=aa⟩ | Finite commutative monoid with 4 elements | 17 iso |
| 8 | 571 | ⟨a, b | aaa=a, bbb=a⟩ | Isomorphic to ℕ(9 = 3) | 48 iso |
| 8 | 574 | ⟨a, b | aaa=b, aab=b⟩ | Isomorphic to ℕ(5 = 3) | 27 iso |
| 8 | 577 | ⟨a, b | aaa=b, abb=a⟩ | Isomorphic to ℕ(7 = 1) | 59 iso |
| 8 | 578 | ⟨a, b | aaa=b, abb=b⟩ | Isomorphic to ℕ(7 = 3) | 44 iso |
| 8 | 581 | ⟨a, b | aaa=b, bbb=a⟩ | Isomorphic to ℕ(9 = 1) | 62 iso |
| 8 | 644 | ⟨a, b | ab=aa, bbb=a⟩ | Isomorphic to ℕ(6 = 4) | 46 iso |
| 8 | 891 | ⟨a, b | aa=a, abba=b⟩ | Finite commutative monoid with 3 elements | 12 iso |
| 8 | 898 | ⟨a, b | aa=a, bbbb=a⟩ | Isomorphic to ℕ(8 = 4) | 48 iso |
| 8 | 913 | ⟨a, b | aa=b, abbb=b⟩ | Isomorphic to ℕ(7 = 2) | 82 iso |
| 8 | 918 | ⟨a, b | aa=b, bbbb=a⟩ | Isomorphic to ℕ(8 = 1) | 34 iso |
| 8 | 919 | ⟨a, b | aa=b, bbbb=b⟩ | Isomorphic to ℕ(8 = 2) | 46 iso |
| 8 | 950 | ⟨a, b | ab=a, bbbb=a⟩ | Isomorphic to ℕ(5 = 4) | 32 iso |
| 8 | 995 | ⟨a, b | ab=a, aaa=bb⟩ | Finite commutative monoid with 5 elements | 19 iso |
| 8 | 1020 | ⟨a, b | ab=a, bbb=aa⟩ | Finite commutative monoid with 5 elements | 9 iso |
| 9 | 1584 | ⟨a, b | aaa=aa, bbb=a⟩ | Isomorphic to ℕ(9 = 6) | 16 iso |
| 9 | 1598 | ⟨a, b | aaa=ab, bbb=a⟩ | Isomorphic to ℕ(9 = 4) | 40 iso |
| 9 | 1601 | ⟨a, b | aaa=bb, aab=b⟩ | Finite commutative monoid with 7 elements | 5 iso |
| 9 | 1605 | ⟨a, b | aaa=bb, abb=b⟩ | Isomorphic to ℕ(8 = 3) | 55 iso |
| 9 | 1606 | ⟨a, b | aaa=bb, bab=a⟩ | Finite commutative monoid with 8 elements | 14 iso |
| 9 | 1608 | ⟨a, b | aaa=bb, bbb=a⟩ | Isomorphic to ℕ(9 = 2) | 70 iso |
| 9 | 1620 | ⟨a, b | aab=aa, bbb=a⟩ | Isomorphic to ℕ(7 = 6) | 35 iso |
| 9 | 1632 | ⟨a, b | aab=ab, bbb=a⟩ | Isomorphic to ℕ(7 = 4) | 50 iso |
| 9 | 1648 | ⟨a, b | aab=bb, abb=a⟩ | Finite commutative monoid with 6 elements | 13 iso |
| 9 | 1686 | ⟨a, b | abb=aa, bbb=a⟩ | Isomorphic to ℕ(6 = 5) | 49 iso |
| 9 | 1998 | ⟨a, b | aaa=a, bbbb=a⟩ | Isomorphic to ℕ(12 = 4) | 6 iso |
| 9 | 2012 | ⟨a, b | aaa=b, abbb=a⟩ | Isomorphic to ℕ(10 = 1) | 59 iso |
| 9 | 2013 | ⟨a, b | aaa=b, abbb=b⟩ | Isomorphic to ℕ(10 = 3) | 35 iso |
| 9 | 2018 | ⟨a, b | aaa=b, bbbb=a⟩ | Isomorphic to ℕ(12 = 1) | 27 iso |
| 9 | 2019 | ⟨a, b | aaa=b, bbbb=b⟩ | Isomorphic to ℕ(12 = 3) | 23 iso |
| 9 | 2074 | ⟨a, b | aab=b, babb=a⟩ | Finite commutative monoid with 7 elements | 20 iso |
| 9 | 2206 | ⟨a, b | ab=aa, bbbb=a⟩ | Isomorphic to ℕ(8 = 5) | 32 iso |
| 9 | 2220 | ⟨a, b | bb=aa, aaab=a⟩ | Finite commutative monoid with 8 elements | 22 iso |
| 9 | 2881 | ⟨a, b | aa=a, abbba=b⟩ | Finite commutative monoid with 4 elements | 8 iso |
| 9 | 2894 | ⟨a, b | aa=a, bbbbb=a⟩ | Isomorphic to ℕ(10 = 5) | 17 iso |
| 9 | 2935 | ⟨a, b | aa=b, bbbbb=b⟩ | Isomorphic to ℕ(10 = 2) | 57 iso |
| 9 | 3075 | ⟨a, b | ab=a, aaaa=bb⟩ | Finite commutative monoid with 6 elements | 14 iso |
| 9 | 3132 | ⟨a, b | ab=a, bbbb=aa⟩ | Finite commutative monoid with 6 elements | 5 iso |
| 9 | 3193 | ⟨a, b | ab=a, bbb=aaa⟩ | Finite commutative monoid with 6 elements | 9 iso |
| 10 | 4130 | ⟨a, b | aab=aaa, bbb=a⟩ | Isomorphic to ℕ(9 = 7) | 1 iso |
| 10 | 4156 | ⟨a, b | abb=aaa, bbb=a⟩ | Isomorphic to ℕ(9 = 5) | 12 iso |
| 10 | 4162 | ⟨a, b | abb=aab, bbb=a⟩ | Isomorphic to ℕ(7 = 5) | 42 iso |
| 10 | 4630 | ⟨a, b | aaaa=a, bbbb=a⟩ | Isomorphic to ℕ(16 = 4) | 1 iso |
| 10 | 4637 | ⟨a, b | aaaa=b, aabb=b⟩ | Isomorphic to ℕ(10 = 4) | 20 iso |
| 10 | 4642 | ⟨a, b | aaaa=b, abbb=a⟩ | Isomorphic to ℕ(13 = 1) | 10 iso |
| 10 | 4643 | ⟨a, b | aaaa=b, abbb=b⟩ | Isomorphic to ℕ(13 = 4) | 6 iso |
| 10 | 4648 | ⟨a, b | aaaa=b, bbbb=a⟩ | Isomorphic to ℕ(16 = 1) | 5 iso |
| 10 | 5033 | ⟨a, b | aaa=aa, abba=b⟩ | Finite commutative monoid with 4 elements | 2 iso |
| 10 | 5040 | ⟨a, b | aaa=aa, bbbb=a⟩ | Isomorphic to ℕ(12 = 8) | |
| 10 | 5072 | ⟨a, b | aaa=ab, bbbb=a⟩ | Isomorphic to ℕ(12 = 5) | 7 iso |
| 10 | 5079 | ⟨a, b | aaa=bb, aaba=b⟩ | Finite commutative monoid with 9 elements | 8 iso |
| 10 | 5086 | ⟨a, b | aaa=bb, abbb=a⟩ | Finite commutative monoid with 11 elements | 11 iso |
| 10 | 5087 | ⟨a, b | aaa=bb, abbb=b⟩ | Finite commutative monoid with 11 elements | 3 iso |
| 10 | 5092 | ⟨a, b | aaa=bb, bbbb=a⟩ | Isomorphic to ℕ(12 = 2) | 43 iso |
| 10 | 5124 | ⟨a, b | aab=aa, bbbb=a⟩ | Isomorphic to ℕ(9 = 8) | 5 iso |
| 10 | 5191 | ⟨a, b | aab=bb, aaaa=b⟩ | Isomorphic to ℕ(8 = 6) | 18 iso |
| 10 | 6276 | ⟨a, b | aaa=a, bbbbb=a⟩ | Isomorphic to ℕ(15 = 5) | |
| 10 | 6292 | ⟨a, b | aaa=b, aabbb=a⟩ | Isomorphic to ℕ(11 = 1) | 35 iso |
| 10 | 6293 | ⟨a, b | aaa=b, aabbb=b⟩ | Isomorphic to ℕ(11 = 3) | 11 iso |
| 10 | 6305 | ⟨a, b | aaa=b, abbbb=b⟩ | Isomorphic to ℕ(13 = 3) | 2 iso |
| 10 | 6316 | ⟨a, b | aaa=b, bbbbb=a⟩ | Isomorphic to ℕ(15 = 1) | |
| 10 | 6317 | ⟨a, b | aaa=b, bbbbb=b⟩ | Isomorphic to ℕ(15 = 3) | |
| 10 | 6380 | ⟨a, b | aab=a, bbbbb=a⟩ | Isomorphic to ℕ(11 = 5) | 1 iso |
| 10 | 6587 | ⟨a, b | aaa=b, abbb=bb⟩ | Isomorphic to ℕ(10 = 6) | 3 iso |
| 10 | 6597 | ⟨a, b | aaa=b, bbbb=bb⟩ | Isomorphic to ℕ(12 = 6) | 4 iso |
| 10 | 6824 | ⟨a, b | aab=b, bbb=aaa⟩ | Finite commutative monoid with 9 elements | 5 iso |
| 10 | 8617 | ⟨a, b | aa=a, abbbba=b⟩ | Finite commutative monoid with 5 elements | 3 iso |
| 10 | 8691 | ⟨a, b | aa=b, abbbbb=b⟩ | Isomorphic to ℕ(11 = 2) | 32 iso |
| 10 | 8987 | ⟨a, b | ab=a, aaaaa=bb⟩ | Finite commutative monoid with 7 elements | 5 iso |
| 10 | 9108 | ⟨a, b | ab=a, bbbbb=aa⟩ | Finite commutative monoid with 7 elements | 2 iso |
| 10 | 9263 | ⟨a, b | ab=a, aaaa=bbb⟩ | Finite commutative monoid with 7 elements | 4 iso |
| 10 | 9376 | ⟨a, b | ab=a, bbbb=aaa⟩ | Finite commutative monoid with 7 elements | 3 iso |
| 11 | 12164 | ⟨a, b | aaaa=aa, bbbb=a⟩ | Isomorphic to ℕ(16 = 8) | |
| 11 | 12179 | ⟨a, b | aaaa=ab, abbb=b⟩ | Isomorphic to ℕ(11 = 4) | 20 iso |
| 11 | 12194 | ⟨a, b | aaaa=ab, bbbb=a⟩ | Isomorphic to ℕ(16 = 5) | 2 iso |
| 11 | 12196 | ⟨a, b | aaaa=bb, aaab=a⟩ | Finite commutative monoid with 10 elements | 7 iso |
| 11 | 12197 | ⟨a, b | aaaa=bb, aaab=b⟩ | Finite commutative monoid with 10 elements | 1 iso |
| 11 | 12206 | ⟨a, b | aaaa=bb, abbb=a⟩ | Finite commutative monoid with 14 elements | 1 iso |
| 11 | 12207 | ⟨a, b | aaaa=bb, abbb=b⟩ | Finite commutative monoid with 14 elements | 1 iso |
| 11 | 12212 | ⟨a, b | aaaa=bb, bbbb=a⟩ | Isomorphic to ℕ(16 = 2) | |
| 11 | 12240 | ⟨a, b | aaab=aa, bbbb=a⟩ | Isomorphic to ℕ(13 = 8) | 1 iso |
| 11 | 12268 | ⟨a, b | aaab=ab, bbbb=a⟩ | Isomorphic to ℕ(13 = 5) | 3 iso |
| 11 | 12324 | ⟨a, b | aaab=bb, bbbb=a⟩ | Isomorphic to ℕ(13 = 2) | 14 iso |
| 11 | 12452 | ⟨a, b | aabb=aa, bbbb=a⟩ | Isomorphic to ℕ(10 = 8) | 3 iso |
| 11 | 12606 | ⟨a, b | abbb=aa, bbbb=a⟩ | Isomorphic to ℕ(8 = 7) | 14 iso |
| 11 | 12910 | ⟨a, b | aab=aaa, bbbb=a⟩ | Isomorphic to ℕ(12 = 9) | 2 iso |
| 11 | 14367 | ⟨a, b | aaaa=a, bbbbb=a⟩ | Isomorphic to ℕ(20 = 5) | |
| 11 | 14383 | ⟨a, b | aaaa=b, aabbb=a⟩ | Isomorphic to ℕ(14 = 1) | 15 iso |
| 11 | 14384 | ⟨a, b | aaaa=b, aabbb=b⟩ | Isomorphic to ℕ(14 = 4) | 5 iso |
| 11 | 14395 | ⟨a, b | aaaa=b, abbbb=a⟩ | Isomorphic to ℕ(17 = 1) | 2 iso |
| 11 | 14396 | ⟨a, b | aaaa=b, abbbb=b⟩ | Isomorphic to ℕ(17 = 4) | 2 iso |
| 11 | 14407 | ⟨a, b | aaaa=b, bbbbb=a⟩ | Isomorphic to ℕ(20 = 1) | |
| 11 | 14408 | ⟨a, b | aaaa=b, bbbbb=b⟩ | Isomorphic to ℕ(20 = 4) | |
| 11 | 14647 | ⟨a, b | aaba=b, babbb=a⟩ | Finite commutative monoid with 13 elements | 2 iso |
| 11 | 15426 | ⟨a, b | aaa=aa, abbba=b⟩ | Finite commutative monoid with 5 elements | |
| 11 | 15439 | ⟨a, b | aaa=aa, bbbbb=a⟩ | Isomorphic to ℕ(15 = 10) | |
| 11 | 15503 | ⟨a, b | aaa=ab, bbbbb=a⟩ | Isomorphic to ℕ(15 = 6) | 1 iso |
| 11 | 15520 | ⟨a, b | aaa=bb, aabbb=b⟩ | Finite commutative monoid with 13 elements | 2 iso |
| 11 | 15532 | ⟨a, b | aaa=bb, abbbb=b⟩ | Isomorphic to ℕ(14 = 3) | 11 iso |
| 11 | 15539 | ⟨a, b | aaa=bb, babbb=a⟩ | Finite commutative monoid with 14 elements | |
| 11 | 15543 | ⟨a, b | aaa=bb, bbbbb=a⟩ | Isomorphic to ℕ(15 = 2) | 1 iso |
| 11 | 15607 | ⟨a, b | aab=aa, bbbbb=a⟩ | Isomorphic to ℕ(11 = 10) | 1 iso |
| 11 | 15671 | ⟨a, b | aab=ab, bbbbb=a⟩ | Isomorphic to ℕ(11 = 6) | 8 iso |
| 11 | 15738 | ⟨a, b | aab=bb, aaaaa=b⟩ | Isomorphic to ℕ(10 = 7) | 7 iso |
| 11 | 18758 | ⟨a, b | aaa=a, bbbbbb=a⟩ | Isomorphic to ℕ(18 = 6) | |
| 11 | 18811 | ⟨a, b | aaa=b, abbbbb=b⟩ | Isomorphic to ℕ(16 = 3) | 2 iso |
| 11 | 18830 | ⟨a, b | aaa=b, bbbbbb=a⟩ | Isomorphic to ℕ(18 = 1) | |
| 11 | 18831 | ⟨a, b | aaa=b, bbbbbb=b⟩ | Isomorphic to ℕ(18 = 3) | |
| 11 | 18958 | ⟨a, b | aab=a, bbbbbb=a⟩ | Isomorphic to ℕ(13 = 6) | 4 iso |
| 11 | 19070 | ⟨a, b | aab=b, bbabbb=a⟩ | Finite commutative monoid with 11 elements | 4 iso |
| 11 | 19374 | ⟨a, b | aaa=b, bbbbb=ab⟩ | Isomorphic to ℕ(15 = 4) | |
| 11 | 19507 | ⟨a, b | aab=b, aaaaa=bb⟩ | Finite commutative monoid with 9 elements | |
| 11 | 19564 | ⟨a, b | aab=b, abbbb=aa⟩ | Finite commutative monoid with 10 elements | 5 iso |
| 11 | 19773 | ⟨a, b | aba=b, bbbbb=aa⟩ | Finite commutative monoid with 12 elements | |
| 11 | 19899 | ⟨a, b | aaa=b, abbb=bbb⟩ | Isomorphic to ℕ(10 = 9) | 1 iso |
| 11 | 19917 | ⟨a, b | aaa=b, bbbb=abb⟩ | Isomorphic to ℕ(12 = 7) | 2 iso |
| 11 | 20051 | ⟨a, b | aab=b, aaaa=abb⟩ | Finite commutative monoid with 8 elements | 1 iso |
| 11 | 20168 | ⟨a, b | aab=b, bbbb=aaa⟩ | Finite commutative monoid with 11 elements | |
| 11 | 20253 | ⟨a, b | aba=b, aaaa=bbb⟩ | Finite commutative monoid with 10 elements | |
| 11 | 20686 | ⟨a, b | bb=aa, aaaaab=a⟩ | Finite commutative monoid with 12 elements | 15 iso |
| 11 | 24145 | ⟨a, b | aa=a, abbbbba=b⟩ | Finite commutative monoid with 6 elements | |
| 11 | 24186 | ⟨a, b | aa=a, bbbbbbb=a⟩ | Isomorphic to ℕ(14 = 7) | |
| 11 | 24331 | ⟨a, b | aa=b, bbbbbbb=b⟩ | Isomorphic to ℕ(14 = 2) | |
| 11 | 24863 | ⟨a, b | ab=a, aaaaaa=bb⟩ | Finite commutative monoid with 8 elements | |
| 11 | 25112 | ⟨a, b | ab=a, bbbbbb=aa⟩ | Finite commutative monoid with 8 elements | |
| 11 | 25411 | ⟨a, b | ab=a, aaaaa=bbb⟩ | Finite commutative monoid with 8 elements | |
| 11 | 25652 | ⟨a, b | ab=a, bbbbb=aaa⟩ | Finite commutative monoid with 8 elements | |
| 11 | 25897 | ⟨a, b | ab=a, bbbb=aaaa⟩ | Finite commutative monoid with 8 elements | |