Finite Group Databasebeta

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C₃₁×#1369 #16841302

• nilpotent
• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

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

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, 101);