Finite Group Databasebeta

?

← Prev (#87892) Next (#87894) →

C₅×Q₈×D₅ #87893

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

88 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 18 points:

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

Conjugacy classes & character table

100 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(400, 187);