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C₃×Q₈×C₃⋊D₃ #89069

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

276 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

90 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 716);