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C₅×#4511 #11746210

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 24 points:

(1,2,3,4,5)(6,7,8)(9,11,12,19,14,20,18,23,15,21,17,24,13,22,10,16);(7,8)(9,10,13,17,15,18,14,12)(11,19,20,23,21,24,22,16)

Conjugacy classes & character table

240 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 405);