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C₃×C₄⋊(C₃⋊Dic₃) #88842

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

220 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 17 points:

(5,8,7,6)(9,10,11)(15,16,17);(1,4,3,2)(6,8)(13,14)(16,17);(12,13,14)

Conjugacy classes & character table

126 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 489);