Finite Group Databasebeta

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C₂×#6648 #91289

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

152 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 18 points:

(1,2)(4,5)(6,7,9,10,8)(11,13,14,18,15,12,16,17);(3,4,5)(7,8)(9,10)(11,12,14,17,15,13,16,18);(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(480, 365);