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Aliases
Subgroups
446 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 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)(32,33,38,43)(34,44,46,55)(35,49,51,57)(36,42,37,41)(39,48,54,47)(40,52,56,50)(45,59,60,53)(58,62,63,61);(32,34,36,47,38,46,37,48)(33,39,41,44,43,54,42,55)(35,45,50,61,51,60,52,62)(40,53,49,58,56,59,57,63);(32,35)(33,40)(34,45)(36,50)(37,52)(38,51)(39,53)(41,49)(42,57)(43,56)(44,58)(46,60)(47,61)(48,62)(54,59)(55,63);(34,46)(39,54)(44,55)(45,60)(47,48)(53,59)(58,63)(61,62)
Conjugacy classes & character table
899 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 1801);
Finite Group Databasebeta