Finite Group Databasebeta

?

← Prev (#11755569) Next (#11755571) →

C₃×#65893 #11755570

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

472 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)(10,14)(13,16)(17,20,21,19)(18,22,23,24);(11,15)(13,16)(18,23)(22,24);(9,11)(10,13)(12,15)(14,16)(17,19,21,20)(18,22,23,24);(5,6)(7,8)(9,10)(11,13)(12,14)(15,16)(17,18)(19,22)(20,24)(21,23)

Conjugacy classes & character table

195 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 9765);