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C₃₁×#2827 #16842760

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

414 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)(33,36)(37,39)(40,41,44,45)(42,46,47,43)(49,52)(53,54);(34,38)(37,39)(42,47)(43,46)(48,49,51,52)(50,53,55,54);(32,33)(34,37)(35,36)(38,39)(40,42)(41,43)(44,47)(45,46)(48,49)(50,54)(51,52)(53,55);(32,34)(33,37)(35,38)(36,39)(40,43)(41,42)(44,46)(45,47)(48,50)(49,53)(51,55)(52,54)

Conjugacy classes & character table

806 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1559);