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Aliases
Subgroups
106 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 87 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)(26,37)(27,32)(28,46)(29,50)(30,36)(31,39)(33,48)(34,44)(35,45)(38,64)(40,70)(41,72)(42,65)(43,73)(47,61)(49,79)(51,58)(52,57)(53,66)(54,80)(55,69)(56,75)(59,85)(60,82)(62,77)(63,68)(67,84)(71,86)(74,83)(76,78)(81,87);(24,26)(25,31)(27,38)(28,47)(29,51)(30,42)(32,53)(33,58)(34,61)(35,63)(36,55)(37,46)(39,48)(40,44)(41,45)(43,74)(49,81)(50,54)(52,67)(56,70)(57,83)(59,86)(60,84)(62,87)(64,73)(65,79)(66,75)(68,85)(69,82)(71,77)(72,78)(76,80);(24,27,30,45)(25,32,36,35)(26,38,42,41)(28,43,49,76)(29,44,52,77)(31,53,55,63)(33,56,60,59)(34,57,62,50)(37,64,65,72)(39,66,69,68)(40,67,71,51)(46,73,79,78)(47,74,81,80)(48,75,82,85)(54,61,83,87)(58,70,84,86)
Conjugacy classes & character table
874 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 994);
Finite Group Databasebeta