Finite Group Databasebeta

?

← Prev (#81105) Next (#81107) →

D₃×#477 #81106

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

416 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 19 points:

(9,11,12,15)(10,14,13,16)(17,18,19);(1,3,4,8)(2,5,6,7)(9,10,12,13)(11,14,15,16);(1,2,4,6)(3,7,8,5)(10,13)(11,14)(15,16);(18,19)

Conjugacy classes & character table

57 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 13682);