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C₃₁×#2578 #16842511

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

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, 1310);