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Aliases
Subgroups
192 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 71 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)(50,54)(52,55)(56,57,60,63)(58,61,66,64)(59,67,68,62)(65,70,71,69);(48,49,51,53)(50,52,54,55)(56,57)(58,64)(59,62)(60,63)(61,66)(65,70)(67,68)(69,71);(48,50)(49,52)(51,54)(53,55)(56,58)(57,61)(59,65)(60,66)(62,69)(63,64)(67,70)(68,71);(56,59,60,68)(57,62,63,67)(58,65,66,71)(61,69,64,70)
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, 222);
Finite Group Databasebeta