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Aliases
Subgroups
72 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)(24,25,28,33,30,36,49,35)(26,37,39,66,42,67,41,73)(27,43,46,74,48,76,81,75)(29,50,45,34,52,62,80,64)(31,53,54,69,56,68,65,38)(32,57,59,82,61,84,60,47)(40,71,70,85,72,86,51,58)(44,63,77,83,79,87,78,55);(24,26)(25,31)(27,44)(28,39)(29,51)(30,42)(32,58)(33,54)(34,63)(35,65)(36,56)(37,43)(38,47)(40,45)(41,49)(46,77)(48,79)(50,55)(52,70)(53,57)(59,71)(60,86)(61,85)(62,83)(64,87)(66,74)(67,76)(68,84)(69,82)(72,80)(73,75)(78,81)
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, 149);
Finite Group Databasebeta