Finite Group Databasebeta

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C₂×#3712 #63820

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

163 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)(9,11,12,14,13,15,16,10);(3,4,5)(7,8)(9,10,12,11,13,14,16,15);(1,2)

Conjugacy classes & character table

60 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 468);