Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S₄ ≀ S₃

Name:

S4wrS3

Group order:

82944 = 2¹⁰ ⋅ 3⁴

Number of classes:

65

InfoText value:

8th maximal subgroup of S12

Group constructions in GAP:

AtlasStabilizer( "A12.2", "S12G1-p5775B0" ), PrimitiveGroup( 64, 39 ), TransitiveGroup( 12, 294 ), TransitiveGroup( 18, 770 ), TransitiveGroup( 18, 773 ), TransitiveGroup( 18, 776 ), TransitiveGroup( 18, 777 ), TransitiveGroup( 18, 779 ), TransitiveGroup( 18, 780 ), TransitiveGroup( 18, 783 ), TransitiveGroup( 18, 785 ), TransitiveGroup( 24, 16593 ), TransitiveGroup( 24, 16594 ), TransitiveGroup( 24, 16595 ), TransitiveGroup( 24, 16596 ), TransitiveGroup( 24, 16597 ), TransitiveGroup( 24, 16598 ), TransitiveGroup( 24, 16599 )

Stored class fusions from this table:

S₁₂

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