Finite Group Databasebeta

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C₂×#6660 #91317

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

136 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)(11,13,15,12)(14,16,17,18);(3,4,5)(7,8)(9,10)(11,12,14,16,15,13,17,18);(1,2)

Conjugacy classes & character table

66 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 393);