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C₃₁×#3502 #16843435

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

964 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)(40,41,45,49)(42,47,43,46)(44,48,52,55)(50,54,51,53);(40,42,45,43)(41,46,49,47)(44,51,52,50)(48,54,55,53);(32,34,35,39)(33,36,37,38)(40,43,45,42)(41,47,49,46)(44,51,52,50)(48,54,55,53);(40,44,45,52)(41,48,49,55)(42,50,43,51)(46,53,47,54);(40,41)(42,46)(43,47)(44,48)(45,49)(50,53)(51,54)(52,55)

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, 2234);