Finite Group Databasebeta

?

← Prev (#91652) Next (#91654) →

C₃×#4082 #91653

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

152 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 20 points:

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

Conjugacy classes & character table

102 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 729);