Finite Group Databasebeta

?

← Prev (#64346) Next (#64348) →

C₂×C₃×D₃×Q₈ #64347

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

331 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 16 points:

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

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(288, 995);