Finite Group Databasebeta

?

← Prev (#89449) Next (#89451) →

C₈×Dic₁₄ #89450

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 23 points:

(1,2,4,6,7,5,3)(16,18,19,23)(17,20,21,22);(2,3)(4,5)(6,7)(16,17,19,21)(18,22,23,20);(8,9,10,12,11,13,14,15)

Conjugacy classes & character table

136 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 212);