Finite Group Databasebeta

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C₂×#3710 #63816

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

179 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 16 points:

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

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, 464);