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Aliases
Subgroups
152 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 59 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)(30,39)(31,36)(32,46)(33,48)(34,38)(35,42)(37,40)(41,52)(43,58)(44,54)(45,51)(47,59)(49,56)(50,57)(53,55);(28,30,40,55,33,43,47,57,34,44,45,56,31,41,32,42)(29,35,46,52,36,49,51,54,38,50,59,58,48,53,37,39);(28,31,34,33)(29,36,38,48)(30,41,44,43)(32,45,47,40)(35,49,50,53)(37,46,51,59)(39,52,54,58)(42,56,57,55)
Conjugacy classes & character table
1012 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 890);
Finite Group Databasebeta