Finite Group Databasebeta

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C₃×#65873 #11755550

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

456 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)(18,21,22,23);(11,15)(13,16);(9,11)(10,13)(12,15)(14,16);(5,6)(7,8)(9,10,12,14)(11,13,15,16)(17,18,20,22)(19,23,24,21)

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, 9745);