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C₂×Dic₃×D₉ #88657

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

178 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 18 points:

(1,2)(3,4,5)(11,13)(12,16)(14,17)(15,18);(4,5)(6,7,8,9)(10,15,13,12,17,14,16,11,18);(1,2)

Conjugacy classes & character table

72 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 304);