Finite Group Databasebeta

?

← Prev (#65405) Next (#65407) →

M₁₆×Dic₅ #65406

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

142 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 17 points:

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 744);