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C₂×C₄⋊((C₃⋊D₃)⋊C₃) #88703

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

205 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 15 points:

(3,4,5,6)(7,8,14)(9,11,13)(10,12,15);(4,6)(8,10)(9,12)(11,13)(14,15);(1,2)

Conjugacy classes & character table

62 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 350);