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C₅×#821 #91064

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

100 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 140);