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Aliases
Subgroups
70 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)(24,25,28,34,31,36,30,54)(26,37,39,68,42,70,41,77)(27,43,46,78,49,80,48,85)(29,50,45,66,53,61,52,35)(32,55,56,38,58,72,64,74)(33,59,62,84,63,83,79,47)(40,75,71,60,76,87,51,69)(44,65,81,86,73,67,82,57);(24,26,31,42)(25,32,36,58)(27,44,49,73)(28,41,30,39)(29,51,53,71)(33,60,63,69)(34,64,54,56)(35,65,66,67)(37,43,70,80)(38,47,74,84)(40,45,76,52)(46,82,48,81)(50,57,61,86)(55,59,72,83)(62,75,79,87)(68,85,77,78)
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, 152);
Finite Group Databasebeta