Finite Group Databasebeta

?

← Prev (#81057) Next (#81059) →

D₃×#476 #81058

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

480 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

(10,13)(11,16)(14,15)(17,18,19);(1,3,4,8)(2,5,6,7);(1,2,4,6)(3,7,8,5)(9,10,12,15)(11,13,16,14);(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, 13634);