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C₅×#5822 #11756207

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

524 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 24 points:

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

Conjugacy classes & character table

210 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 10402);