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Aliases
Subgroups
452 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)(30,31,35,40,36,39,34,48)(32,41,43,37,44,52,49,51)(33,38,47,53,45,54,46,58)(42,55,57,50,56,60,59,61);(30,32)(31,37)(33,42)(34,49)(35,43)(36,44)(38,50)(39,51)(40,52)(41,48)(45,56)(46,59)(47,57)(53,60)(54,61)(55,58);(30,33,35,47,36,45,34,46)(31,38,40,53,39,54,48,58)(32,42,43,57,44,56,49,59)(37,50,52,60,51,61,41,55);(31,39)(33,45)(37,51)(40,48)(41,52)(42,56)(46,47)(57,59)
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, 1689);
Finite Group Databasebeta