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C₂×C₃×C₄⋊(C₃⋊D₃) #89065

• 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);(1,2)(4,5)(7,8)(13,15);(1,2)(6,7,8)

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, 712);