Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2 × 3².2.S₄

Name:

2x3^2.2.S4

Group order:

864 = 2⁵ ⋅ 3³

Number of classes:

22

InfoText value:

6th maximal subgroup of 2.M12

Duplicates:

2 × 3².2.S₄

Group constructions in GAP:

AtlasSubgroup( "2.M12", 6 ), AtlasSubgroup( "2.M12", 7 ), DirectProduct( "C2", "3^2.2.S4" ), SmallGroup( 864, 4661 ), TransitiveGroup( 18, 229 ), TransitiveGroup( 24, 2650 ), TransitiveGroup( 24, 2651 )

Stored class fusions from this table:

2.M₁₂, 2.Ru, L₃(3) × 2, L₃(4).D₁₂

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