Finite Group Databasebeta

?

← Prev (#11755647) Next (#11755649) →

C₃×#65971 #11755648

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

496 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)(17,19,20,24)(18,22,21,23);(11,15)(13,16)(17,18,20,21)(19,23,24,22);(9,11)(10,13)(12,15)(14,16)(18,21)(22,23);(5,6)(7,8)(9,10)(11,13)(12,14)(15,16)

Conjugacy classes & character table

159 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 9843);