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C₃₁×#2981 #16842914

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

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1713);