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Aliases
Subgroups
106 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 93 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)(32,43)(33,38)(34,52)(35,56)(36,42)(37,45)(39,54)(40,50)(41,51)(44,70)(46,76)(47,78)(48,71)(49,79)(53,67)(55,85)(57,64)(58,63)(59,72)(60,86)(61,75)(62,81)(65,91)(66,88)(68,83)(69,74)(73,90)(77,92)(80,89)(82,84)(87,93);(30,32)(31,37)(33,44)(34,53)(35,57)(36,48)(38,59)(39,64)(40,67)(41,69)(42,61)(43,52)(45,54)(46,50)(47,51)(49,80)(55,87)(56,60)(58,73)(62,76)(63,89)(65,92)(66,90)(68,93)(70,79)(71,85)(72,81)(74,91)(75,88)(77,83)(78,84)(82,86);(30,33,36,51)(31,38,42,41)(32,44,48,47)(34,49,55,82)(35,50,58,83)(37,59,61,69)(39,62,66,65)(40,63,68,56)(43,70,71,78)(45,72,75,74)(46,73,77,57)(52,79,85,84)(53,80,87,86)(54,81,88,91)(60,67,89,93)(64,76,90,92)
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, 994);
Finite Group Databasebeta