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Aliases
Subgroups
910 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)(32,33,37,40)(34,35,42,38)(36,44,45,39)(41,46,47,43)(48,49,52,55)(50,53,58,56)(51,59,60,54)(57,62,63,61);(32,34,37,42)(33,38,40,35)(36,41,45,47)(39,46,44,43)(48,49)(50,56)(51,54)(52,55)(53,58)(57,62)(59,60)(61,63);(32,35,37,38)(33,34,40,42)(36,43,45,46)(39,41,44,47);(32,34)(33,38)(35,40)(36,41)(37,42)(39,46)(43,44)(45,47)(48,50)(49,53)(51,57)(52,58)(54,61)(55,56)(59,62)(60,63);(32,36,37,45)(33,39,40,44)(34,41,42,47)(35,43,38,46)(48,51,52,60)(49,54,55,59)(50,57,58,63)(53,61,56,62)
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, 2287);
Finite Group Databasebeta