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C₃₁×#2576 #16842509

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

468 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)(34,38)(35,36)(37,39)(40,41,44,43)(42,46,47,45)(49,52)(50,54);(33,36)(37,38)(42,47)(45,46)(48,49,51,52)(50,53,54,55);(32,33)(34,37)(35,36)(38,39)(40,42)(41,45)(43,46)(44,47)(48,49)(50,53)(51,52)(54,55);(32,34)(33,37)(35,39)(36,38)(40,43,44,41)(42,46,47,45)(48,50,51,54)(49,53,52,55)

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, 1308);