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C₅×#815 #91058

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

80 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 20 points:

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

Conjugacy classes & character table

180 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 134);