Finite Group Databasebeta

?

← Prev (#89069) Next (#89071) →

C₃×#3832 #89070

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

288 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

90 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 717);