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C₂²⋊C₄×C₃⋊D₃ #64089

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

396 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

60 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 737);