Finite Group Databasebeta

?

← Prev (#497841) Next (#497843) →

D₄×#367 #497842

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

738 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 24 points:

(1,2)(3,4);(2,4);(5,6,7,8)(10,14)(11,18)(12,19)(15,20)(16,24)(17,23)(21,22);(9,10,15,24,12,16,11,14,13,17,18,22,19,21,20,23)

Conjugacy classes & character table

110 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 405038);