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C₂×C₃×Dic₁₈ #88693

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

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, 340);