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C₃₁×#2777 #16842710

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

378 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 55 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)(32,33,35,36)(34,37,38,39)(40,41)(42,43)(44,45)(46,47)(48,49,53,55)(50,52,51,54);(33,36)(34,38)(41,45)(43,46)(48,50,53,51)(49,54,55,52);(32,33)(34,37)(35,36)(38,39)(40,42)(41,46)(43,45)(44,47)(48,51,53,50)(49,54,55,52);(32,34,35,38)(33,37,36,39)(40,43,44,46)(41,42,45,47)(48,52,53,54)(49,50,55,51)

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, 1509);