Finite Group Databasebeta

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C₃₁×#1385 #16841318

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

124 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 63 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)(32,33,36,42,39,44,38,54)(34,45,47,60,49,61,52,56)(35,43,37,53,51,59,50,41)(40,48,55,46,58,62,57,63);(32,34,37,48,36,52,51,63,39,49,50,62,38,47,35,46)(33,40,43,56,54,55,41,45,44,58,59,60,42,57,53,61)

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 117);