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C₃×#808 #63594

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

85 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)(12,15)(13,17)(16,18);(5,6)(11,15,17,12,14,18,13,16)

Conjugacy classes & character table

72 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 242);