Finite Group Databasebeta

?

← Prev (#11755702) Next (#11755704) →

C₃×#66026 #11755703

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

436 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 24 points:

(1,2,3)(4,5,7,8,6)(9,11,12,15)(10,14,13,16)(17,20,21,19)(18,22,23,24);(10,13)(14,16)(17,19,21,20)(18,22,23,24);(9,10,12,13)(11,16,15,14)(17,18)(19,22)(20,24)(21,23);(5,6)(7,8)(11,15)(14,16)

Conjugacy classes & character table

150 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 9898);