Finite Group Databasebeta

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C₃₁×#3375 #16843308

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

350 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)(37,38)(40,41,45,48)(42,46,44,53)(43,50,52,54)(47,51,55,49);(32,33,35,36)(34,38,39,37)(40,42,45,44)(41,46,48,53)(43,51,52,49)(47,50,55,54);(40,43,45,52)(41,47,48,55)(42,49,44,51)(46,54,53,50);(32,34,35,39)(33,37,36,38)

Conjugacy classes & character table

899 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2107);