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C₂²×C₄×C₃⋊D₃ #64356

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

708 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 14 points:

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

Conjugacy classes & character table

96 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 1004);