Finite Group Databasebeta

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C₃×#65901 #11755578

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

400 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)(10,14,15,16)(17,19,20,24)(18,21,22,23);(17,18,20,22)(19,23,24,21);(9,11,13,12)(10,14,15,16);(5,6)(7,8)(9,10,13,15)(11,16,12,14)

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, 9773);