Finite Group Databasebeta

?

← Prev (#33393) Next (#33395) →

C₂²×C₄⋊C₁₆ #33394

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

Aliases

Subgroups

431 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

160 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 26382);