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C₃×#64768 #11746125

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

120 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)(9,11,14,12)(10,15,18,23)(13,21,22,20)(16,24,19,17);(5,6)(7,8)(9,10,12,16,14,18,11,19)(13,17,20,23,22,24,21,15)

Conjugacy classes & character table

123 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 320);