← Prev (#16843495) Next (#16843497) →
Aliases
Subgroups
912 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 63 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31)(32,33)(34,41)(35,38)(36,44)(37,40)(39,45)(42,46)(43,47)(48,49,54,57)(50,52,55,51)(53,61,62,56)(58,59,63,60);(32,34,37,35)(33,38,40,41)(36,42,45,43)(39,46,44,47)(48,50,54,55)(49,51,57,52)(53,58,62,63)(56,59,61,60);(32,35,37,34)(33,38,40,41)(36,43,45,42)(39,46,44,47)(48,51,54,52)(49,55,57,50)(53,59,62,60)(56,63,61,58);(32,33)(34,41)(35,38)(36,39)(37,40)(42,47)(43,46)(44,45)(48,52,54,51)(49,50,57,55)(53,60,62,59)(56,58,61,63);(32,36)(33,39)(34,42)(35,43)(37,45)(38,46)(40,44)(41,47)(48,53)(49,56)(50,58)(51,59)(52,60)(54,62)(55,63)(57,61)
Conjugacy classes & character table
1178 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 2295);
Finite Group Databasebeta