Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₄ × S₃

Name:

S4xS3

Group order:

144 = 2⁴ ⋅ 3²

Number of classes:

15

InfoText value:

9th maximal subgroup of M12.2

Group constructions in GAP:

AtlasStabilizer( "A7.2", "S7G1-p35B0" ), AtlasSubgroup( "A7.2", 4 ), AtlasSubgroup( "M12.2", 8 ), DirectProduct( "S4", "S3" ), SmallGroup( 144, 183 ), TransitiveGroup( 12, 83 ), TransitiveGroup( 18, 65 ), TransitiveGroup( 18, 69 ), TransitiveGroup( 18, 70 ), TransitiveGroup( 18, 72 ), TransitiveGroup( 24, 275 ), TransitiveGroup( 24, 276 ), TransitiveGroup( 24, 277 ), TransitiveGroup( 24, 281 )

Stored class fusions from this table:

(A₄ × A₅):2, S₇, A₇ × S₃, J₂.2, M₁₂.2, M₂₂.2

Stored class fusions to this table:

(A₄ × 3):2, A₄ × S₃

File created automatically by GAP on 13-Mar-2024.