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Aliases
Subgroups
936 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)(32,33,37,41)(34,42,43,39)(35,46,49,40)(36,38,48,52)(44,54,56,55)(45,53,57,50)(47,60,61,51)(58,63,59,62);(33,38)(34,43)(35,47)(39,53)(41,52)(42,50)(44,58)(45,57)(49,61)(54,55)(56,59)(62,63);(32,34,36,45)(33,39,38,50)(35,44,47,59)(37,43,48,57)(40,54,51,62)(41,42,52,53)(46,55,60,63)(49,56,61,58);(32,35,48,61)(33,40,52,60)(34,44,57,58)(36,47,37,49)(38,51,41,46)(39,54,53,63)(42,55,50,62)(43,56,45,59);(33,38)(39,50)(40,51)(41,52)(42,53)(46,60)(54,62)(55,63)
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, 2296);
Finite Group Databasebeta