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C₃₁×#2205 #16842138

• nilpotent
• supersolvable
• solvable
• monomial

Aliases

Subgroups

224 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)(34,42)(35,45)(36,40)(37,47)(38,43)(39,44)(41,46);(32,34,38,37)(33,39,43,45)(35,46,44,36)(40,42,41,47);(32,35,38,44)(33,40,43,41)(34,36,37,46)(39,47,45,42)

Conjugacy classes & character table

620 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 937);