Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S₅ × S₃

Name:

S5xS3

Group order:

720 = 2⁴ ⋅ 3² ⋅ 5

Number of classes:

21

InfoText value:

Group constructions in GAP:

AtlasSubgroup( "S4(5)", 6 ), DirectProduct( "A5.2", "D6" ), SmallGroup( 720, 767 ), TransitiveGroup( 15, 29 ), TransitiveGroup( 18, 227 ), TransitiveGroup( 30, 165 ), TransitiveGroup( 30, 167 ), TransitiveGroup( 30, 170 ), TransitiveGroup( 30, 174 ), TransitiveGroup( 30, 178 )

Stored class fusions from this table:

2 × S₅, S₈, G₂(4).2, HS, L₃(4).D₁₂, S₄(5)

Stored class fusions to this table:

2.A₅.2 × S₃, 2.HSN3A, 2²⁺⁸:(S₅ × S₃), 2^{(4+10)(S₅ × S₃)}, (A₅ × 3):2, S₃ × A₅, S₅ × S₄

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