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Aliases
Subgroups
104 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)(26,36)(27,41)(28,47)(29,51)(30,32)(31,37)(33,44)(34,43)(35,49)(38,68)(39,71)(40,63)(42,60)(45,79)(46,62)(48,58)(50,81)(52,64)(53,67)(54,75)(55,74)(56,65)(57,69)(59,86)(61,66)(70,87)(72,77)(73,78)(76,85)(80,83)(82,84);(24,26,30,40)(25,31,32,53)(27,42,46,76)(28,48,50,82)(29,52,49,39)(33,58,56,84)(34,60,57,85)(35,61,51,55)(36,62,63,41)(37,65,67,44)(38,69,70,43)(45,80,78,75)(47,54,81,83)(59,87,72,68)(64,73,71,79)(66,77,74,86);(25,32)(31,53)(33,56)(34,57)(35,51)(36,63)(41,62)(47,81)(54,83)(55,61)(58,84)(59,72)(60,85)(64,71)(68,87)(73,79)
Conjugacy classes & character table
598 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 996);
Finite Group Databasebeta