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Aliases
Subgroups
38 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 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)(24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87);(25,55)(26,86)(27,53)(28,84)(29,51)(30,82)(31,49)(32,80)(33,47)(34,78)(35,45)(36,76)(37,43)(38,74)(39,41)(40,72)(42,70)(44,68)(46,66)(48,64)(50,62)(52,60)(54,58)(57,87)(59,85)(61,83)(63,81)(65,79)(67,77)(69,75)(71,73)
Conjugacy classes & character table
805 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 162);
Finite Group Databasebeta