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C₂²×C₃×D₁₂ #64342

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

499 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

108 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 990);