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C₃₁×#3401 #16843334

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

368 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)(33,37)(38,39)(40,41)(42,49)(43,47)(44,52)(45,48)(46,51)(50,55)(53,54);(32,33,36,37)(34,38,35,39)(42,50)(46,54)(49,55)(51,53);(32,34,36,35)(33,38,37,39)(40,42)(41,46)(43,51)(44,53)(45,50)(47,55)(48,54)(49,52);(32,35,36,34)(33,38,37,39)(40,43,45,44)(41,47,48,52)(42,51,50,53)(46,55,54,49)

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, 2133);