Finite Group Databasebeta

?

← Prev (#11755536) Next (#11755538) →

C₃×#65860 #11755537

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

540 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 28 points:

(1,2,3)(4,5,7,8,6)(9,10,11,12)(14,20)(15,22)(16,24)(25,27);(13,16)(14,19)(15,21)(17,24)(18,25)(20,23)(22,28)(26,27);(13,15,17,22)(14,18,20,26)(16,21,24,28)(19,25,23,27);(5,6)(7,8)(10,12)(13,14)(15,18)(16,23)(17,20)(19,24)(21,27)(22,26)(25,28)

Conjugacy classes & character table

186 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 9732);