Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2.S₄

Name:

2.Symm(4)

Group order:

48 = 2⁴ ⋅ 3

Number of classes:

8

InfoText value:

Duplicates:

2.A6M5

Group constructions in GAP:

AtlasSubgroup( "2.A6", 4 ), AtlasSubgroup( "2.A6", 5 ), AtlasSubgroup( "2.L3(2)", 1 ), AtlasSubgroup( "2.L3(2)", 2 ), SmallGroup( 48, 28 ), TransitiveGroup( 16, 65 )

Stored class fusions from this table:

2.A₆, 2.A₇, 2.L₂(17), 2.L₂(23), 2.L₂(31), 2.L₃(2), S₄, S₄

Stored class fusions to this table:

2.L₂(3), (2.A₄ × 3).2, (SL(2, 3) × 7:3).2

File created automatically by GAP on 20-May-2025.