Finite non-Abelian groups

Up:Monoid enumeration
45 unique, 604 total

Σ#PresentationPropertiesφ
8556⟨a, b | aba=b, aabb=1⟩Grp 828
8628⟨a, b | bb=aa, abab=1⟩Grp 1658
8752⟨a, b | aaa=1, babb=a⟩Grp 2759
91385⟨a, b | aaba=b, bbbb=1⟩Grp 6033
91427⟨a, b | abba=b, baba=1⟩Grp 666
91470⟨a, b | aaa=bb, abab=1⟩Grp 3073
91963⟨a, b | aba=b, aaabb=1⟩Grp 1230
92300⟨a, b | aaa=1, ababbb=1⟩Grp 3623
92450⟨a, b | aaa=1, babbb=a⟩Grp 8421
103771⟨a, b | aaaa=bb, abab=1⟩Grp 485
103808⟨a, b | aaab=ba, abab=1⟩Grp 167
104095⟨a, b | baa=abb, abab=1⟩Grp 205
104118⟨a, b | bbb=aaa, abab=1⟩Grp 967
104509⟨a, b | aaba=b, bbbbb=1⟩Grp 1658
105009⟨a, b | aba=bb, aabbb=1⟩Grp 2430
105442⟨a, b | aaaa=1, ababbb=1⟩Grp 642
105728⟨a, b | aaaa=1, babbb=a⟩Grp 320
106205⟨a, b | aba=b, aaaabb=1⟩Grp 163
106935⟨a, b | bb=aa, aaabab=1⟩Grp 242
107249⟨a, b | aaa=1, ababbbb=1⟩Grp 12012
107544⟨a, b | aaa=1, babbbb=a⟩Grp 1958
107548⟨a, b | aaa=1, bbabbb=a⟩Grp 1059
1110664⟨a, b | aaaa=bbb, abab=1⟩Grp 336
1110729⟨a, b | aaab=baa, abab=1⟩Grp 103
1110757⟨a, b | aaab=bba, abab=1⟩Grp 545
1111058⟨a, b | abba=bbb, baba=1⟩Grp 308
1111251⟨a, b | aaaba=b, bbbbb=1⟩Grp 1220
1111515⟨a, b | ababa=b, abbaa=1⟩Grp 2410
1113293⟨a, b | aaaaa=1, ababbb=1⟩Grp 1002
1114128⟨a, b | aaba=b, bbbbbb=1⟩Grp 378
1114981⟨a, b | aaa=bb, aabaab=1⟩Grp 427
1114993⟨a, b | aaa=bb, ababbb=1⟩Grp 482
1115158⟨a, b | aab=ba, ababab=1⟩Grp 211
1115372⟨a, b | aba=bb, aaabbb=1⟩Grp 722
1116582⟨a, b | aaaa=1, aababbb=1⟩Grp 2729
1116601⟨a, b | aaaa=1, ababbbb=1⟩Grp 4803
1116966⟨a, b | abab=1, aaabbba=1⟩Grp 486
1117152⟨a, b | aaaa=1, babbbb=a⟩Grp 1020
1117156⟨a, b | aaaa=1, bbabbb=a⟩Grp 260
1117503⟨a, b | abab=1, aabbaa=b⟩Grp 48
1118011⟨a, b | abab=1, aaaaa=bb⟩Grp 706
1118619⟨a, b | aba=b, aaaaabb=1⟩Grp 203
1121200⟨a, b | aaa=1, ababbbbb=1⟩Grp 4323
1121772⟨a, b | aaa=1, bababbb=a⟩Grp 960
1121778⟨a, b | aaa=1, babbbbb=a⟩Grp 378