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C₃₁×#2508 #16842441

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

380 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)(32,33,36,34)(35,38,39,37)(41,43)(42,46)(49,53)(51,54);(33,34)(37,38)(40,41,44,43)(42,45,46,47)(48,49)(50,54)(51,55)(52,53);(32,34,36,33)(35,38,39,37)(40,42)(41,45)(43,47)(44,46)(48,50,52,55)(49,54,53,51);(32,35,36,39)(33,37,34,38)(40,43,44,41)(42,47,46,45)(48,51,52,54)(49,55,53,50)

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, 1240);