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Aliases
Subgroups
950 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)(33,37)(34,40)(39,44)(41,46)(48,49)(50,53)(51,56)(52,57)(54,58)(55,60)(59,61)(62,63);(33,37)(38,43)(39,44)(45,47)(49,50)(51,58)(55,57)(59,63);(32,33)(34,38)(35,39)(36,37)(40,43)(41,45)(42,44)(46,47)(48,50,53,49)(51,56,58,54)(52,57,60,55)(59,62,63,61);(32,34,36,40)(33,38,37,43)(35,41,42,46)(39,45,44,47)(48,51)(49,54)(50,56)(52,59)(53,58)(55,61)(57,62)(60,63);(32,35,36,42)(33,39,37,44)(34,41,40,46)(38,45,43,47)(48,52)(49,55)(50,57)(51,59)(53,60)(54,61)(56,62)(58,63)
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, 2299);
Finite Group Databasebeta