Finite non-Abelian groups

Up:Monoids with two generators and two relations
45 unique, 604 total

Σ#PresentationDescriptionRelated
8556⟨a, b | aba=b, aabb=1⟩Finite non-Abelian group with 8 elements28 iso
8628⟨a, b | bb=aa, abab=1⟩Finite non-Abelian group with 16 elements58 iso
8752⟨a, b | aaa=1, babb=a⟩Finite non-Abelian group with 27 elements58 iso, 1 anti-iso
91385⟨a, b | aaba=b, bbbb=1⟩Finite non-Abelian group with 60 elements28 iso, 5 anti-iso
91427⟨a, b | abba=b, baba=1⟩Finite non-Abelian group with 6 elements66 iso
91470⟨a, b | aaa=bb, abab=1⟩Finite non-Abelian group with 30 elements73 iso
91963⟨a, b | aba=b, aaabb=1⟩Finite non-Abelian group with 12 elements30 iso
92300⟨a, b | aaa=1, ababbb=1⟩Finite non-Abelian group with 36 elements23 iso
92450⟨a, b | aaa=1, babbb=a⟩Finite non-Abelian group with 84 elements13 iso, 8 anti-iso
103771⟨a, b | aaaa=bb, abab=1⟩Finite non-Abelian group with 48 elements5 iso
103808⟨a, b | aaab=ba, abab=1⟩Finite non-Abelian group with 16 elements7 iso
104095⟨a, b | baa=abb, abab=1⟩Finite non-Abelian group with 20 elements4 iso, 1 anti-iso
104118⟨a, b | bbb=aaa, abab=1⟩Finite non-Abelian group with 96 elements7 iso
104509⟨a, b | aaba=b, bbbbb=1⟩Finite non-Abelian group with 165 elements6 iso, 2 anti-iso
105009⟨a, b | aba=bb, aabbb=1⟩Finite non-Abelian group with 24 elements30 iso
105442⟨a, b | aaaa=1, ababbb=1⟩Finite non-Abelian group with 64 elements2 iso
105728⟨a, b | aaaa=1, babbb=a⟩Finite non-Abelian group with 320 elements
106205⟨a, b | aba=b, aaaabb=1⟩Finite non-Abelian group with 16 elements3 iso
106935⟨a, b | bb=aa, aaabab=1⟩Finite non-Abelian group with 24 elements2 iso
107249⟨a, b | aaa=1, ababbbb=1⟩Finite non-Abelian group with 120 elements12 iso
107544⟨a, b | aaa=1, babbbb=a⟩Finite non-Abelian group with 195 elements5 iso, 3 anti-iso
107548⟨a, b | aaa=1, bbabbb=a⟩Finite non-Abelian group with 105 elements9 iso
1110664⟨a, b | aaaa=bbb, abab=1⟩Finite non-Abelian group with 336 elements
1110729⟨a, b | aaab=baa, abab=1⟩Finite non-Abelian group with 10 elements3 iso
1110757⟨a, b | aaab=bba, abab=1⟩Finite non-Abelian group with 54 elements5 iso
1111058⟨a, b | abba=bbb, baba=1⟩Finite non-Abelian group with 30 elements8 iso
1111251⟨a, b | aaaba=b, bbbbb=1⟩Finite non-Abelian group with 1220 elements
1111515⟨a, b | ababa=b, abbaa=1⟩Finite non-Abelian group with 24 elements10 iso
1113293⟨a, b | aaaaa=1, ababbb=1⟩Finite non-Abelian group with 100 elements2 iso
1114128⟨a, b | aaba=b, bbbbbb=1⟩Finite non-Abelian group with 378 elements
1114981⟨a, b | aaa=bb, aabaab=1⟩Finite non-Abelian group with 42 elements7 iso
1114993⟨a, b | aaa=bb, ababbb=1⟩Finite non-Abelian group with 48 elements2 iso
1115158⟨a, b | aab=ba, ababab=1⟩Finite non-Abelian group with 21 elements1 iso
1115372⟨a, b | aba=bb, aaabbb=1⟩Finite non-Abelian group with 72 elements2 iso
1116582⟨a, b | aaaa=1, aababbb=1⟩Finite non-Abelian group with 272 elements6 iso, 3 anti-iso
1116601⟨a, b | aaaa=1, ababbbb=1⟩Finite non-Abelian group with 480 elements3 iso
1116966⟨a, b | abab=1, aaabbba=1⟩Finite non-Abelian group with 48 elements6 iso
1117152⟨a, b | aaaa=1, babbbb=a⟩Finite non-Abelian group with 1020 elements
1117156⟨a, b | aaaa=1, bbabbb=a⟩Finite non-Abelian group with 260 elements
1117503⟨a, b | abab=1, aabbaa=b⟩Finite non-Abelian group with 48 elements
1118011⟨a, b | abab=1, aaaaa=bb⟩Finite non-Abelian group with 70 elements6 iso
1118619⟨a, b | aba=b, aaaaabb=1⟩Finite non-Abelian group with 20 elements3 iso
1121200⟨a, b | aaa=1, ababbbbb=1⟩Finite non-Abelian group with 432 elements3 iso
1121772⟨a, b | aaa=1, bababbb=a⟩Finite non-Abelian group with 960 elements
1121778⟨a, b | aaa=1, babbbbb=a⟩Finite non-Abelian group with 378 elements