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C₃₁×#2505 #16842438

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

456 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)(32,33,36,37)(34,39,38,35)(40,41,44,46)(42,43,47,45)(49,52)(50,54);(33,37)(34,38)(40,42,44,47)(41,45,46,43)(48,49)(50,53)(51,52)(54,55);(32,34,36,38)(33,35,37,39)(40,42)(41,43)(44,47)(45,46)(48,50,51,54)(49,53,52,55);(32,35)(33,38)(34,37)(36,39)(40,43)(41,42)(44,45)(46,47)(48,49)(50,53)(51,52)(54,55)

Conjugacy classes & character table

1178 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1237);