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C₃₁×#3116 #16843049

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

386 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)(40,41,45,49)(42,46,52,55)(43,48,44,47)(50,54,51,53);(33,36)(37,39)(40,42,45,52)(41,46,49,55)(43,50,44,51)(47,53,48,54);(41,47)(43,44)(46,53)(48,49)(50,51)(54,55);(32,34,35,38)(33,37,36,39)(40,43,45,44)(41,48,49,47)(42,50,52,51)(46,54,55,53)

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, 1848);