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C₃₁×#2841 #16842774

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

396 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)(42,43,46,47)(50,54)(52,55);(34,38)(37,39)(41,45)(43,47)(48,49,51,53)(50,55,54,52);(32,33)(34,37)(35,36)(38,39)(40,42)(41,43)(44,46)(45,47)(48,50,51,54)(49,52,53,55);(32,34)(33,37)(35,38)(36,39)(40,43)(41,46)(42,45)(44,47)(48,49)(50,52)(51,53)(54,55)

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, 1573);