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Aliases
Subgroups
954 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)(33,39)(34,44)(35,49)(36,52)(40,57)(41,47)(43,56)(45,55)(48,61)(50,58)(51,62)(53,63);(32,33)(34,45)(35,50)(36,42)(37,39)(38,43)(40,44)(41,51)(46,52)(47,49)(48,57)(53,59)(54,56)(55,61)(58,62)(60,63);(32,34,37,48)(33,40,39,55)(35,46,51,42)(36,47,52,58)(38,44,54,61)(41,53,50,63)(43,45,56,57)(49,60,62,59);(32,35)(33,41)(34,46)(36,45)(37,51)(38,49)(39,50)(40,53)(42,48)(43,58)(44,60)(47,56)(52,57)(54,62)(55,63)(59,61);(32,36,38,53)(33,42,43,59)(34,47,44,50)(35,45,49,40)(37,52,54,63)(39,46,56,60)(41,48,58,61)(51,57,62,55)
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, 2298);
Finite Group Databasebeta