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C₂²×C₄×D₉ #63705

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

354 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 17 points:

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

Conjugacy classes & character table

96 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 353);