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Aliases
Subgroups
910 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 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)(30,31,35,38)(32,33,40,36)(34,42,43,37)(39,44,45,41)(46,47,50,53)(48,51,56,54)(49,57,58,52)(55,60,61,59);(30,32,35,40)(31,36,38,33)(34,39,43,45)(37,44,42,41)(46,47)(48,54)(49,52)(50,53)(51,56)(55,60)(57,58)(59,61);(30,33,35,36)(31,32,38,40)(34,41,43,44)(37,39,42,45);(30,32)(31,36)(33,38)(34,39)(35,40)(37,44)(41,42)(43,45)(46,48)(47,51)(49,55)(50,56)(52,59)(53,54)(57,60)(58,61);(30,34,35,43)(31,37,38,42)(32,39,40,45)(33,41,36,44)(46,49,50,58)(47,52,53,57)(48,55,56,61)(51,59,54,60)
Conjugacy classes & character table
1102 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 2287);
Finite Group Databasebeta