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Aliases
Subgroups
958 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)(24,25,29,31)(26,35,39,37)(27,30,34,40)(28,42,43,33)(32,46,45,36)(38,51,52,49)(41,53,48,44)(47,50,54,55);(25,31)(26,36)(27,34)(32,37)(33,42)(35,45)(38,50)(39,46)(41,48)(47,51)(49,54)(52,55);(24,26,29,39)(25,32,31,45)(27,37,34,35)(28,38,43,52)(30,36,40,46)(33,47,42,54)(41,51,48,49)(44,50,53,55);(24,27,40,25)(26,37,46,32)(28,41,53,33)(29,34,30,31)(35,36,45,39)(38,51,55,47)(42,43,48,44)(49,50,54,52);(24,28,40,53)(25,33,27,41)(26,38,46,55)(29,43,30,44)(31,42,34,48)(32,47,37,51)(35,49,45,54)(36,50,39,52)
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, 2300);
Finite Group Databasebeta