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Aliases
Subgroups
144 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 61 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)(30,31,35,40,36,42,52,41)(32,43,45,58,47,60,46,54)(33,39,48,57,49,38,34,50)(37,53,55,61,56,51,59,44);(30,32)(31,37)(33,44)(34,51)(35,45)(36,47)(38,54)(39,58)(40,55)(41,59)(42,56)(43,50)(46,52)(48,53)(49,61)(57,60);(30,33,35,48,36,49,52,34)(31,38,40,50,42,39,41,57)(32,44,45,53,47,61,46,51)(37,54,55,43,56,58,59,60)
Conjugacy classes & character table
928 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 911);
Finite Group Databasebeta