← Prev (#16842196) Next (#16842198) →
Aliases
Subgroups
104 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 95 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)(34,44)(35,49)(36,55)(37,59)(38,40)(39,45)(41,52)(42,51)(43,57)(46,76)(47,79)(48,71)(50,68)(53,87)(54,70)(56,66)(58,89)(60,72)(61,75)(62,83)(63,82)(64,73)(65,77)(67,94)(69,74)(78,95)(80,85)(81,86)(84,93)(88,91)(90,92);(32,34,38,48)(33,39,40,61)(35,50,54,84)(36,56,58,90)(37,60,57,47)(41,66,64,92)(42,68,65,93)(43,69,59,63)(44,70,71,49)(45,73,75,52)(46,77,78,51)(53,88,86,83)(55,62,89,91)(67,95,80,76)(72,81,79,87)(74,85,82,94);(33,40)(39,61)(41,64)(42,65)(43,59)(44,71)(49,70)(55,89)(62,91)(63,69)(66,92)(67,80)(68,93)(72,79)(76,95)(81,87)
Conjugacy classes & character table
806 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 996);
Finite Group Databasebeta