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Aliases
Subgroups
5796 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 6 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)(28,40)(29,30)(33,41)(34,44)(35,49)(36,42)(37,46)(38,52)(39,43)(45,50)(47,53)(48,55)(51,54);(25,30)(31,42)(32,43)(33,40)(44,46)(45,49)(47,52)(54,55);(24,26,29,36)(25,31,30,42)(27,37,39,34)(28,35,41,50)(32,46,43,44)(33,45,40,49)(38,51,53,48)(47,55,52,54);(24,27,29,39)(25,32,30,43)(26,34,36,37)(28,38,41,53)(31,44,42,46)(33,47,40,52)(35,48,50,51)(45,54,49,55);(24,25)(26,31)(27,32)(28,33)(29,30)(34,44)(35,45)(36,42)(37,46)(38,47)(39,43)(40,41)(48,54)(49,50)(51,55)(52,53);(24,28)(25,33)(26,35)(27,38)(29,41)(30,40)(31,45)(32,47)(34,48)(36,50)(37,51)(39,53)(42,49)(43,52)(44,54)(46,55)
Conjugacy classes & character table
1495 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 2327);
Finite Group Databasebeta