Finite Group Databasebeta

?

← Prev (#16843204) Next (#16843206) →

C₃₁×#3272 #16843205

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

546 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 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)(34,35)(37,40)(38,43)(41,42);(36,37)(38,42)(39,41)(40,43);(33,35)(37,41)(40,42);(37,42)(38,43)(40,41)

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, 2004);