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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)(24,25,27,32,28,33,40,50,29,34,41,51,43,53,62,72,30,35,42,52,44,54,63,73,45,55,64,74,65,75,80,85)(26,31,37,47,38,48,59,69,39,49,60,70,61,71,79,84,36,46,56,66,57,67,76,81,58,68,77,82,78,83,86,87);(24,26)(25,31)(27,37)(28,38)(29,39)(30,36)(32,47)(33,48)(34,49)(35,46)(40,59)(41,60)(42,56)(43,61)(44,57)(45,58)(50,69)(51,70)(52,66)(53,71)(54,67)(55,68)(62,79)(63,76)(64,77)(65,78)(72,84)(73,81)(74,82)(75,83)(80,86)(85,87);(26,36)(31,46)(37,56)(38,57)(39,58)(47,66)(48,67)(49,68)(59,76)(60,77)(61,78)(69,81)(70,82)(71,83)(79,86)(84,87)
Conjugacy classes & character table
1840 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 990);
Finite Group Databasebeta