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Aliases
Subgroups
1004 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)(32,33)(34,35)(36,37)(38,39)(41,46)(42,43)(44,52)(54,55);(33,37)(34,38)(40,41,45,46)(42,48,43,47)(44,49,52,53)(50,55,51,54);(40,42,45,43)(41,47,46,48)(44,50,52,51)(49,54,53,55);(32,34,36,38)(33,35,37,39)(40,43,45,42)(41,48,46,47)(44,51,52,50)(49,55,53,54);(32,35)(33,38)(34,37)(36,39)(40,44)(41,49)(42,50)(43,51)(45,52)(46,53)(47,54)(48,55)
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, 2284);
Finite Group Databasebeta