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Aliases
Subgroups
392 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 55 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)(34,37)(35,36)(38,39)(40,41,44,45)(42,46,47,43)(49,52)(53,54);(33,35)(34,38)(41,45)(43,46)(48,49,51,52)(50,54,55,53);(32,34,36,38)(33,37,35,39)(40,42,44,47)(41,46,45,43)(48,49)(50,53)(51,52)(54,55);(32,35,36,33)(34,39,38,37)(40,43,44,46)(41,47,45,42)(48,50,51,55)(49,53,52,54)
Conjugacy classes & character table
992 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 1502);
Finite Group Databasebeta