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C₃₁×#3458 #16843391

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

996 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(32,33,35,37)(34,38,39,36)(40,41)(42,48)(43,47)(44,46)(45,49)(50,54)(51,53)(52,55);(40,42)(41,45)(43,50)(44,49)(46,48)(47,52)(51,55)(53,54);(32,34,35,39)(33,36,37,38)(42,49)(45,48)(50,55)(52,54);(41,46)(45,48)(47,53)(52,54);(40,43,44,51)(41,47,46,53)(42,50,49,55)(45,52,48,54)

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2190);