Finite Group Databasebeta

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C₃×#4090 #91661

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

136 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 20 points:

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

Conjugacy classes & character table

102 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 737);