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Aliases
Subgroups
106 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 101 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)(40,51)(41,46)(42,60)(43,64)(44,50)(45,53)(47,62)(48,58)(49,59)(52,78)(54,84)(55,86)(56,79)(57,87)(61,75)(63,93)(65,72)(66,71)(67,80)(68,94)(69,83)(70,89)(73,99)(74,96)(76,91)(77,82)(81,98)(85,100)(88,97)(90,92)(95,101);(38,40)(39,45)(41,52)(42,61)(43,65)(44,56)(46,67)(47,72)(48,75)(49,77)(50,69)(51,60)(53,62)(54,58)(55,59)(57,88)(63,95)(64,68)(66,81)(70,84)(71,97)(73,100)(74,98)(76,101)(78,87)(79,93)(80,89)(82,99)(83,96)(85,91)(86,92)(90,94);(38,41,44,59)(39,46,50,49)(40,52,56,55)(42,57,63,90)(43,58,66,91)(45,67,69,77)(47,70,74,73)(48,71,76,64)(51,78,79,86)(53,80,83,82)(54,81,85,65)(60,87,93,92)(61,88,95,94)(62,89,96,99)(68,75,97,101)(72,84,98,100)
Conjugacy classes & character table
1406 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 994);
Finite Group Databasebeta