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C₂²×C₉×Dic₃ #88726

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

194 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 20 points:

(1,2)(3,4)(6,7)(8,9,10,11)(12,19,18,14,13,20,17,16,15);(3,4)(5,6,7);(1,2)

Conjugacy classes & character table

216 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 373);