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C₃₁×#3196 #16843129

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

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, 1928);