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C₃₁×#2069 #16842002

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

216 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 47 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)(32,33,37,39,36,40,35,44)(34,41,45,46,42,47,43,38);(32,34,35,43,36,42,37,45)(33,38,39,41,40,46,44,47);(34,42)(35,37)(39,44)(41,47)

Conjugacy classes & character table

713 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 801);