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C₅×#816 #91059

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

84 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

150 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 135);