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C₃₁×#3355 #16843288

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

360 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)(32,33,36,35)(34,38,39,37)(40,41,43,47)(42,49,50,45)(44,46,52,48)(51,53,55,54);(32,34)(33,37)(35,38)(36,39)(40,42)(41,45)(43,50)(44,51)(46,54)(47,49)(48,53)(52,55);(32,35,36,33)(34,38,39,37)(41,46)(42,50)(44,52)(45,53)(47,48)(49,54);(34,39)(37,38)(41,47)(42,50)(46,48)(51,55)

Conjugacy classes & character table

899 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2087);