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Aliases
Subgroups
84 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 79 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)(50,59)(51,56)(52,64)(53,68)(54,58)(55,61)(57,66)(60,75)(62,76)(63,74)(65,70)(67,78)(69,73)(71,79)(72,77);(48,50)(49,55)(51,60)(52,65)(53,69)(54,62)(56,70)(57,73)(58,72)(59,64)(61,66)(63,77)(67,79)(68,71)(74,75)(76,78);(48,51,54,53)(49,56,58,68)(50,60,62,69)(52,63,67,66)(55,70,72,71)(57,64,74,78)(59,75,76,73)(61,65,77,79)
Conjugacy classes & character table
1034 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3008, 189);
Finite Group Databasebeta