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C₄×C₄⋊(C₃⋊D₃) #64082

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

282 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 14 points:

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

Conjugacy classes & character table

84 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 730);