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Aliases
Subgroups
1032 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 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)(34,38)(36,39)(40,41)(42,47)(43,48)(44,52)(45,46)(49,53)(50,51)(54,55);(32,33,35,37)(34,36,38,39)(41,46)(43,47)(49,52)(51,54);(32,34,35,38)(33,36,37,39)(40,42,45,48)(41,47,46,43)(44,50,53,55)(49,54,52,51);(40,43,45,47)(41,48,46,42)(44,51,53,54)(49,55,52,50);(40,44,45,53)(41,49,46,52)(42,50,48,55)(43,51,47,54)
Conjugacy classes & character table
1364 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 2244);
Finite Group Databasebeta