Finite Group Databasebeta

?

← Prev (#66603) Next (#66605) →

C₃×C₂²⋊Dic₇ #66604

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 18 points:

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

Conjugacy classes & character table

102 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(336, 73);