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C₃₁×#2245 #16842178

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 71 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)(34,37)(35,36)(38,39)(40,41,47,53)(42,49,57,68)(43,48,59,66)(44,51,61,63)(45,50,54,69)(46,62,60,52)(55,67,70,65)(56,71,58,64);(33,36)(37,39)(40,42,54,70,46,56,44,43,47,57,45,55,60,58,61,59)(41,48,63,71,52,65,50,49,53,66,51,64,62,67,69,68);(32,34,35,38)(33,37,36,39)(40,43,44,58,60,70,54,57,47,59,61,56,46,55,45,42)(41,49,50,67,62,71,63,66,53,68,69,65,52,64,51,48)

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, 977);