Finite Group Databasebeta

?

← Prev (#63595) Next (#63597) →

C₃×#810 #63596

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

97 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 18 points:

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

Conjugacy classes & character table

72 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 244);