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C₃×#4021 #91592

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

152 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

138 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 668);