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C₃×#821 #63607

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

111 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 18 points:

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

Conjugacy classes & character table

90 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 255);