Finite Group Databasebeta

?

← Prev (#16843242) Next (#16843244) →

C₃₁×#3310 #16843243

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

450 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(32,33,35,37)(34,38,39,36)(40,41)(42,45)(43,46)(44,47);(32,34)(33,36)(35,39)(37,38)(40,42,44,43)(41,45,47,46);(41,46)(42,43)(45,47);(34,39)(36,38)

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, 2042);