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C₃₁×#3084 #16843017

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

376 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)(32,33,35,37)(34,38,39,36)(40,41,45,49)(42,46,51,55)(43,48,44,53)(47,52,54,50);(32,34,35,39)(33,36,37,38)(40,42)(41,46)(43,52)(44,50)(45,51)(47,53)(48,54)(49,55);(40,42)(41,47)(43,50)(44,52)(45,51)(46,53)(48,55)(49,54);(40,43,45,44)(41,48,49,53)(42,50,51,52)(46,47,55,54)

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, 1816);