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C₂×C₉×Dic₆ #88694

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 22 points:

(3,4,5)(6,8,9,13)(7,10,11,12)(14,18,22,16,21,17,19,15,20);(1,2)(4,5)(6,7,9,11)(8,12,13,10);(1,2)

Conjugacy classes & character table

162 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 341);