Finite Group Databasebeta

?

← Prev (#88695) Next (#88697) →

C₂×C₃×D₃₆ #88696

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

178 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

126 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 343);