Finite Group Databasebeta

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C₃×#66015 #11755692

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

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, 9887);