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Aliases
Subgroups
930 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)(26,31)(27,32)(28,36)(29,30)(33,37)(34,35)(38,39)(41,45)(42,48)(43,51)(53,55);(25,30)(27,31)(33,36)(35,38)(40,41,44,45)(42,49,48,46)(43,47,51,52)(50,55,54,53);(24,26,29,32)(25,31,30,27)(28,34,37,39)(33,38,36,35)(40,41)(42,46)(43,47)(44,45)(48,49)(50,53)(51,52)(54,55);(24,27,29,31)(25,32,30,26)(28,35,37,38)(33,39,36,34)(40,42,44,48)(41,46,45,49)(43,50,51,54)(47,53,52,55);(24,28,29,37)(25,33,30,36)(26,34,32,39)(27,35,31,38)(40,43,44,51)(41,47,45,52)(42,50,48,54)(46,53,49,55)
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, 2289);
Finite Group Databasebeta