Finite Group Databasebeta

?

← Prev (#11756074) Next (#11756076) →

C₅×#5690 #11756075

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

456 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)(9,11,12,15)(10,14,13,16)(17,20,21,18)(19,22,24,23);(10,13)(14,16)(17,19,21,24)(18,22,20,23);(9,10)(11,14)(12,13)(15,16)(17,18,21,20)(19,23,24,22);(7,8)(11,15)(14,16)

Conjugacy classes & character table

195 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 10270);