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C₃×#4343 #10587263

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

80 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 22 points:

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

Conjugacy classes & character table

105 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(528, 133);