Finite Group Databasebeta

?

← Prev (#85728) Next (#85730) →

C₂×#5521 #85729

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

1920 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 17 points:

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

Conjugacy classes & character table

108 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 18305);