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C₃₁×#3461 #16843394

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1012 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(34,37)(35,36)(38,39)(40,41)(42,48)(43,46)(44,47)(45,50)(49,54)(51,53)(52,55);(40,42,44,50)(41,45,47,48)(43,51,52,49)(46,54,55,53);(33,36)(37,39)(40,43,44,52)(41,46,47,55)(42,49,50,51)(45,53,48,54);(41,47)(45,48)(46,55)(53,54);(32,34,35,38)(33,37,36,39)

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, 2193);