Finite Group Databasebeta

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C₃₁×#3333 #16843266

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

398 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)(32,33,35,37)(34,38,39,36)(40,41,45,49)(42,50,51,55)(43,48,44,47)(46,53,54,52);(32,34)(33,36)(35,39)(37,38)(42,51)(46,54)(50,55)(52,53);(40,42,45,51)(41,46,49,54)(43,52,44,53)(47,50,48,55);(34,39)(36,38)(40,43,45,44)(41,47,49,48)(42,52,51,53)(46,50,54,55)

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, 2065);