Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2 × S₅

Name:

2xS5

Group order:

240 = 2⁴ ⋅ 3 ⋅ 5

Number of classes:

14

InfoText value:

origin: CAS library, tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasStabilizer( "A7.2", "S7G1-p21B0" ), AtlasSubgroup( "A7.2", 3 ), AtlasSubgroup( "M12", 8 ), DirectProduct( "C2", "A5.2" ), SmallGroup( 240, 189 ), TransitiveGroup( 10, 22 ), TransitiveGroup( 12, 123 ), TransitiveGroup( 20, 62 ), TransitiveGroup( 20, 65 ), TransitiveGroup( 20, 70 ), TransitiveGroup( 24, 570 ), TransitiveGroup( 24, 577 ), TransitiveGroup( 30, 58 ), TransitiveGroup( 30, 60 )

Stored class fusions from this table:

(2² × A₅):2, S₇, L₂(25).2₂, L₃(4).2², M₁₂

Stored class fusions to this table:

S₅ × S₃

File created automatically by GAP on 6-May-2025.