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Aliases
Subgroups
348 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)(32,33,35,37)(34,38,39,36)(40,41)(42,49)(43,47)(44,53)(45,48)(46,52)(50,55)(51,54);(32,34,35,39)(33,36,37,38)(42,50)(46,54)(49,55)(51,52);(40,42,44,52,45,50,43,51)(41,46,47,49,48,54,53,55);(40,43,45,44)(41,47,48,53)(42,51,50,52)(46,49,54,55)
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, 1894);
Finite Group Databasebeta