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Aliases
Subgroups
440 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 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)(30,31,35,39,36,40,34,49)(32,41,44,51,45,55,43,37)(33,38,48,53,46,52,47,59)(42,54,58,60,56,61,57,50);(30,32,34,43,36,45,35,44)(31,37,39,41,40,51,49,55)(33,42,47,57,46,56,48,58)(38,50,53,54,52,60,59,61);(30,33)(31,38)(32,42)(34,47)(35,48)(36,46)(37,50)(39,53)(40,52)(41,54)(43,57)(44,58)(45,56)(49,59)(51,60)(55,61);(33,46)(38,52)(42,56)(47,48)(50,60)(53,59)(54,61)(57,58)
Conjugacy classes & character table
1276 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 1648);
Finite Group Databasebeta