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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)(38,39,41,46,42,47,54,64,43,48,55,65,57,67,76,86,44,49,56,66,58,68,77,87,59,69,78,88,79,89,94,99)(40,45,51,61,52,62,73,83,53,63,74,84,75,85,93,98,50,60,70,80,71,81,90,95,72,82,91,96,92,97,100,101);(38,40)(39,45)(41,51)(42,52)(43,53)(44,50)(46,61)(47,62)(48,63)(49,60)(54,73)(55,74)(56,70)(57,75)(58,71)(59,72)(64,83)(65,84)(66,80)(67,85)(68,81)(69,82)(76,93)(77,90)(78,91)(79,92)(86,98)(87,95)(88,96)(89,97)(94,100)(99,101);(40,50)(45,60)(51,70)(52,71)(53,72)(61,80)(62,81)(63,82)(73,90)(74,91)(75,92)(83,95)(84,96)(85,97)(93,100)(98,101)
Conjugacy classes & character table
2960 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 990);
Finite Group Databasebeta