Finite Group Databasebeta

?

← Prev (#11755692) Next (#11755694) →

C₃×#66016 #11755693

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

432 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)(11,15)(18,22)(19,23);(9,11,12,15)(10,13,14,16)(17,19)(18,21)(20,23)(22,24);(17,18,20,22)(19,21,23,24);(5,6)(7,8)(9,10)(11,13)(12,14)(15,16)(19,23)(21,24)

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, 9888);