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Aliases
Subgroups
104 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)(40,50)(41,55)(42,61)(43,65)(44,46)(45,51)(47,58)(48,57)(49,63)(52,82)(53,85)(54,77)(56,74)(59,93)(60,76)(62,72)(64,95)(66,78)(67,81)(68,89)(69,88)(70,79)(71,83)(73,100)(75,80)(84,101)(86,91)(87,92)(90,99)(94,97)(96,98);(38,40,44,54)(39,45,46,67)(41,56,60,90)(42,62,64,96)(43,66,63,53)(47,72,70,98)(48,74,71,99)(49,75,65,69)(50,76,77,55)(51,79,81,58)(52,83,84,57)(59,94,92,89)(61,68,95,97)(73,101,86,82)(78,87,85,93)(80,91,88,100);(39,46)(45,67)(47,70)(48,71)(49,65)(50,77)(55,76)(61,95)(68,97)(69,75)(72,98)(73,86)(74,99)(78,85)(82,101)(87,93)
Conjugacy classes & character table
962 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 996);
Finite Group Databasebeta