Finite Group Databasebeta

?

← Prev (#89054) Next (#89056) →

C₂×C₃²×D₁₂ #89055

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

388 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 15 points:

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

Conjugacy classes & character table

162 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 702);