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Finite non-Abelian groups

93 unique, 604 total

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8 〈a, b | aba=b, aabb=1〉 Finite non-Abelian group with 8 elements 28 isomorphic
8 〈a, b | bb=aa, abab=1〉 Finite non-Abelian group with 16 elements 4 isomorphic
8 〈a, b | aaa=1, babb=a〉 Finite non-Abelian group with 27 elements 21 isomorphic
8 〈a, b | aa=1, ababbb=1〉 Finite non-Abelian group with 16 elements 40 isomorphic
9 〈a, b | aaba=b, bbbb=1〉 Finite non-Abelian group with 60 elements 4 isomorphic, 5 anti-isomorphic
9 〈a, b | abba=b, baba=1〉 Finite non-Abelian group with 6 elements 66 isomorphic
9 〈a, b | aaa=bb, abab=1〉 Finite non-Abelian group with 30 elements 8 isomorphic
9 〈a, b | aba=b, aaabb=1〉 Finite non-Abelian group with 12 elements 19 isomorphic
9 〈a, b | aaa=1, aabbab=1〉 Finite non-Abelian group with 27 elements 23 isomorphic
9 〈a, b | aaa=1, ababbb=1〉 Finite non-Abelian group with 36 elements 17 isomorphic
9 〈a, b | aaa=1, babbb=a〉 Finite non-Abelian group with 84 elements 2 isomorphic, 1 anti-isomorphic
9 〈a, b | aa=1, ababbbb=1〉 Finite non-Abelian group with 30 elements 53 isomorphic
10 〈a, b | aaaa=bb, abab=1〉 Finite non-Abelian group with 48 elements
10 〈a, b | aaab=ba, abab=1〉 Finite non-Abelian group with 16 elements 7 isomorphic
10 〈a, b | aaba=bb, bbbb=1〉 Finite non-Abelian group with 60 elements 2 isomorphic
10 〈a, b | baa=abb, abab=1〉 Finite non-Abelian group with 20 elements 1 isomorphic, 1 anti-isomorphic
10 〈a, b | bab=aaa, aabb=1〉 Finite non-Abelian group with 16 elements 6 isomorphic
10 〈a, b | bab=aba, aabb=1〉 Finite non-Abelian group with 12 elements 4 isomorphic
10 〈a, b | bbb=aaa, abab=1〉 Finite non-Abelian group with 96 elements
10 〈a, b | aaba=b, bbbbb=1〉 Finite non-Abelian group with 165 elements
10 〈a, b | aba=bb, aabbb=1〉 Finite non-Abelian group with 24 elements 22 isomorphic
10 〈a, b | aaaa=1, aababb=1〉 Finite non-Abelian group with 60 elements 3 isomorphic
10 〈a, b | aaaa=1, ababbb=1〉 Finite non-Abelian group with 64 elements 2 isomorphic
10 〈a, b | aaaa=1, baabb=a〉 Finite non-Abelian group with 60 elements
10 〈a, b | aaaa=1, babbb=a〉 Finite non-Abelian group with 320 elements
10 〈a, b | aba=b, aaaabb=1〉 Finite non-Abelian group with 16 elements 3 isomorphic
10 〈a, b | aba=b, aabbbb=1〉 Finite non-Abelian group with 16 elements 5 isomorphic
10 〈a, b | bb=aa, aaabab=1〉 Finite non-Abelian group with 24 elements 2 isomorphic
10 〈a, b | bb=aa, ababab=1〉 Finite non-Abelian group with 36 elements
10 〈a, b | aaa=1, aababbb=1〉 Finite non-Abelian group with 84 elements 2 isomorphic, 4 anti-isomorphic
10 〈a, b | aaa=1, ababbbb=1〉 Finite non-Abelian group with 120 elements 4 isomorphic
10 〈a, b | aaa=1, baabbb=a〉 Finite non-Abelian group with 36 elements 4 isomorphic
10 〈a, b | aaa=1, bababb=a〉 Finite non-Abelian group with 84 elements 5 isomorphic, 3 anti-isomorphic
10 〈a, b | aaa=1, babbbb=a〉 Finite non-Abelian group with 195 elements
10 〈a, b | aaa=1, bbabbb=a〉 Finite non-Abelian group with 105 elements 3 isomorphic
10 〈a, b | aa=1, abababbb=1〉 Finite non-Abelian group with 30 elements 5 isomorphic
10 〈a, b | aa=1, ababbbbb=1〉 Finite non-Abelian group with 48 elements 4 isomorphic
11 〈a, b | aaaa=bbb, abab=1〉 Finite non-Abelian group with 336 elements
11 〈a, b | aaab=baa, abab=1〉 Finite non-Abelian group with 10 elements 3 isomorphic
11 〈a, b | aaab=bba, abab=1〉 Finite non-Abelian group with 54 elements 3 isomorphic
11 〈a, b | abba=bbb, baba=1〉 Finite non-Abelian group with 30 elements 8 isomorphic
11 〈a, b | aaaba=b, bbbbb=1〉 Finite non-Abelian group with 1220 elements
11 〈a, b | aabba=b, bbbbb=1〉 Finite non-Abelian group with 165 elements
11 〈a, b | ababa=b, abbaa=1〉 Finite non-Abelian group with 24 elements 2 isomorphic
11 〈a, b | aaba=bb, bbbbb=1〉 Finite non-Abelian group with 165 elements
11 〈a, b | bab=aaa, aabbb=1〉 Finite non-Abelian group with 30 elements 2 isomorphic
11 〈a, b | aaaaa=1, aababb=1〉 Finite non-Abelian group with 165 elements 3 isomorphic, 2 anti-isomorphic
11 〈a, b | aaaaa=1, ababbb=1〉 Finite non-Abelian group with 100 elements 2 isomorphic
11 〈a, b | aaabb=1, bababa=1〉 Finite non-Abelian group with 24 elements 3 isomorphic
11 〈a, b | aaba=b, aaabbb=1〉 Finite non-Abelian group with 27 elements 7 isomorphic
11 〈a, b | aaba=b, aabbab=1〉 Finite non-Abelian group with 27 elements 5 isomorphic
11 〈a, b | aaba=b, abbabb=1〉 Finite non-Abelian group with 60 elements 2 isomorphic
11 〈a, b | aaba=b, bbbbbb=1〉 Finite non-Abelian group with 378 elements
11 〈a, b | abba=b, aaabbb=1〉 Finite non-Abelian group with 24 elements 2 isomorphic
11 〈a, b | abba=b, ababab=1〉 Finite non-Abelian group with 24 elements
11 〈a, b | aaa=bb, aabaab=1〉 Finite non-Abelian group with 42 elements 1 isomorphic
11 〈a, b | aaa=bb, ababab=1〉 Finite non-Abelian group with 120 elements
11 〈a, b | aaa=bb, ababbb=1〉 Finite non-Abelian group with 48 elements 2 isomorphic
11 〈a, b | aab=ba, ababab=1〉 Finite non-Abelian group with 21 elements 1 isomorphic
11 〈a, b | aab=ba, ababbb=1〉 Finite non-Abelian group with 12 elements 5 isomorphic
11 〈a, b | aab=ba, abbabb=1〉 Finite non-Abelian group with 20 elements 2 isomorphic
11 〈a, b | aba=bb, aaabbb=1〉 Finite non-Abelian group with 72 elements 2 isomorphic
11 〈a, b | aba=bb, abbabb=1〉 Finite non-Abelian group with 30 elements 1 isomorphic
11 〈a, b | aaaa=1, aababbb=1〉 Finite non-Abelian group with 272 elements 4 isomorphic, 3 anti-isomorphic
11 〈a, b | aaaa=1, ababbbb=1〉 Finite non-Abelian group with 480 elements 3 isomorphic
11 〈a, b | abab=1, aaabbba=1〉 Finite non-Abelian group with 48 elements 6 isomorphic
11 〈a, b | aaaa=1, baabab=a〉 Finite non-Abelian group with 60 elements
11 〈a, b | aaaa=1, baabbb=a〉 Finite non-Abelian group with 272 elements
11 〈a, b | aaaa=1, bababb=a〉 Finite non-Abelian group with 272 elements
11 〈a, b | aaaa=1, babbbb=a〉 Finite non-Abelian group with 1020 elements
11 〈a, b | aaaa=1, bbabbb=a〉 Finite non-Abelian group with 260 elements
11 〈a, b | abab=1, aabbaa=b〉 Finite non-Abelian group with 48 elements
11 〈a, b | abab=1, abbaaa=b〉 Finite non-Abelian group with 54 elements 1 isomorphic
11 〈a, b | abab=1, aaaaa=bb〉 Finite non-Abelian group with 70 elements
11 〈a, b | aba=b, aaaaabb=1〉 Finite non-Abelian group with 20 elements 3 isomorphic
11 〈a, b | aba=b, aaabbbb=1〉 Finite non-Abelian group with 24 elements 7 isomorphic
11 〈a, b | aaa=1, aababbbb=1〉 Finite non-Abelian group with 195 elements 2 anti-isomorphic
11 〈a, b | aaa=1, aabbbabb=1〉 Finite non-Abelian group with 105 elements 3 isomorphic, 1 anti-isomorphic
11 〈a, b | aaa=1, aabbbbab=1〉 Finite non-Abelian group with 195 elements 4 anti-isomorphic
11 〈a, b | aaa=1, abababbb=1〉 Finite non-Abelian group with 120 elements 3 isomorphic
11 〈a, b | aaa=1, ababbbbb=1〉 Finite non-Abelian group with 432 elements 3 isomorphic
11 〈a, b | aaa=1, baababb=a〉 Finite non-Abelian group with 84 elements
11 〈a, b | aaa=1, baabbab=a〉 Finite non-Abelian group with 84 elements
11 〈a, b | aaa=1, baabbbb=a〉 Finite non-Abelian group with 120 elements 1 isomorphic
11 〈a, b | aaa=1, bababbb=a〉 Finite non-Abelian group with 960 elements
11 〈a, b | aaa=1, babbabb=a〉 Finite non-Abelian group with 105 elements
11 〈a, b | aaa=1, babbbbb=a〉 Finite non-Abelian group with 378 elements
11 〈a, b | aaa=1, bbababb=a〉 Finite non-Abelian group with 120 elements
11 〈a, b | aa=1, abababbbb=1〉 Finite non-Abelian group with 96 elements 6 isomorphic
11 〈a, b | aa=1, ababbabbb=1〉 Finite non-Abelian group with 60 elements 4 isomorphic
11 〈a, b | aa=1, ababbbabb=1〉 Finite non-Abelian group with 60 elements 6 isomorphic
11 〈a, b | aa=1, ababbbbbb=1〉 Finite non-Abelian group with 70 elements 5 isomorphic
11 〈a, b | aa=1, abbabbbbb=1〉 Finite non-Abelian group with 42 elements 5 isomorphic