Finite Group Databasebeta

?

← Prev (#63818) Next (#63820) →

C₂×#3711 #63819

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

147 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)(9,10,11,14,12,13,15,16);(3,4,5)(7,8)(10,13)(14,16);(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, 467);