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Aliases
Subgroups
104 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 83 points:
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(20,21)(22,32)(23,37)(24,43)(25,47)(26,28)(27,33)(29,40)(30,39)(31,45)(34,64)(35,67)(36,59)(38,56)(41,75)(42,58)(44,54)(46,77)(48,60)(49,63)(50,71)(51,70)(52,61)(53,65)(55,82)(57,62)(66,83)(68,73)(69,74)(72,81)(76,79)(78,80);(20,22,26,36)(21,27,28,49)(23,38,42,72)(24,44,46,78)(25,48,45,35)(29,54,52,80)(30,56,53,81)(31,57,47,51)(32,58,59,37)(33,61,63,40)(34,65,66,39)(41,76,74,71)(43,50,77,79)(55,83,68,64)(60,69,67,75)(62,73,70,82);(21,28)(27,49)(29,52)(30,53)(31,47)(32,59)(37,58)(43,77)(50,79)(51,57)(54,80)(55,68)(56,81)(60,67)(64,83)(69,75)
Conjugacy classes & character table
494 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 996);
Finite Group Databasebeta