Finite Group Databasebeta

?

← Prev (#91292) Next (#91294) →

C₂×#6649 #91293

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

136 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 18 points:

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

Conjugacy classes & character table

84 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 369);