Finite Group Databasebeta

?

← Prev (#66089) Next (#66091) →

C₂×#4058 #66090

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

266 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 23 points:

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

Conjugacy classes & character table

56 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 1428);