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C₃₁×#3111 #16843044

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

392 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)(34,37)(35,36)(38,39)(40,41)(42,50)(43,48)(44,49)(45,47)(46,52)(51,54)(53,55);(33,36)(37,39)(40,42,44,52)(41,46,49,50)(43,51,45,53)(47,54,48,55);(41,47)(43,45)(46,54)(48,49)(50,55)(51,53);(32,34,35,38)(33,37,36,39)(40,43,44,45)(41,48,49,47)(42,51,52,53)(46,55,50,54)

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1843);