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C₃₁×#3127 #16843060

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

358 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(40,41,44,48)(42,50,52,46)(43,54,55,63)(45,58,57,49)(47,59,62,56)(51,66,67,71)(53,61,69,65)(60,68,64,70);(33,36)(37,39)(40,42)(41,46)(43,51)(44,52)(45,53)(47,60)(48,50)(49,61)(54,71)(55,67)(56,68)(57,69)(58,65)(59,70)(62,64)(63,66);(40,43,44,55)(41,47,48,62)(42,51,52,67)(45,59,57,56)(46,60,50,64)(49,63,58,54)(53,70,69,68)(61,66,65,71);(32,34,35,38)(33,37,36,39)(42,52)(46,50)(51,67)(53,69)(60,64)(61,65)(66,71)(68,70)

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1859);