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Aliases
Subgroups
456 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 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)(24,25,27,26)(28,29)(30,38)(31,35)(32,44)(33,36)(34,40)(37,46)(39,52)(41,51)(42,50)(43,56)(45,48)(47,54)(49,55)(53,59)(57,58);(28,30,33,41)(29,34,36,48)(31,39,42,53)(32,45,46,40)(35,47,50,58)(37,51,44,38)(43,57,55,54)(49,59,56,52);(24,26,27,25)(28,31,33,42)(29,35,36,50)(30,39,41,53)(32,43,46,55)(34,47,48,58)(37,49,44,56)(38,52,51,59)(40,54,45,57);(29,36)(31,42)(34,48)(37,44)(38,51)(39,53)(43,55)(54,57)
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, 1682);
Finite Group Databasebeta