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Aliases
Subgroups
930 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)(32,37)(33,38)(34,42)(35,36)(39,43)(40,41)(44,45)(47,51)(48,54)(49,57)(59,61);(31,36)(33,37)(39,42)(41,44)(46,47,50,51)(48,55,54,52)(49,53,57,58)(56,61,60,59);(30,32,35,38)(31,37,36,33)(34,40,43,45)(39,44,42,41)(46,47)(48,52)(49,53)(50,51)(54,55)(56,59)(57,58)(60,61);(30,33,35,37)(31,38,36,32)(34,41,43,44)(39,45,42,40)(46,48,50,54)(47,52,51,55)(49,56,57,60)(53,59,58,61);(30,34,35,43)(31,39,36,42)(32,40,38,45)(33,41,37,44)(46,49,50,57)(47,53,51,58)(48,56,54,60)(52,59,55,61)
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, 2289);
Finite Group Databasebeta