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C₃₁×#3204 #16843137

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

402 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)(40,41,44,49)(42,51,53,46)(43,50,45,48)(47,54,55,52);(32,34)(33,36)(35,39)(37,38)(40,42,44,53)(41,46,49,51)(43,54,45,52)(47,48,55,50);(34,39)(36,38)(40,42)(41,47)(43,52)(44,53)(45,54)(46,50)(48,51)(49,55);(33,37)(36,38)(40,43,44,45)(41,48,49,50)(42,52,53,54)(46,47,51,55)

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, 1936);