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Aliases
Subgroups
954 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)(25,31)(26,36)(27,41)(28,44)(32,49)(33,39)(35,48)(37,47)(40,53)(42,50)(43,54)(45,55);(24,25)(26,37)(27,42)(28,34)(29,31)(30,35)(32,36)(33,43)(38,44)(39,41)(40,49)(45,51)(46,48)(47,53)(50,54)(52,55);(24,26,29,40)(25,32,31,47)(27,38,43,34)(28,39,44,50)(30,36,46,53)(33,45,42,55)(35,37,48,49)(41,52,54,51);(24,27)(25,33)(26,38)(28,37)(29,43)(30,41)(31,42)(32,45)(34,40)(35,50)(36,52)(39,48)(44,49)(46,54)(47,55)(51,53);(24,28,30,45)(25,34,35,51)(26,39,36,42)(27,37,41,32)(29,44,46,55)(31,38,48,52)(33,40,50,53)(43,49,54,47)
Conjugacy classes & character table
874 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 2298);
Finite Group Databasebeta