Finite Group Databasebeta

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C₃×#64731 #11746088

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 24 points:

(1,2,3)(4,5,7,8,6)(9,11,12,19,14,20,18,23,15,21,17,24,13,22,10,16);(5,6)(7,8)(9,10,13,17,15,18,14,12)(11,19,20,23,21,24,22,16)

Conjugacy classes & character table

204 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 283);