Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S₄ × 2²

Name:

S4x2^2

Group order:

96 = 2⁵ ⋅ 3

Number of classes:

20

InfoText value:

normalizer of chain (2A < 4.2^4.2) in HS

Group constructions in GAP:

DirectProduct( "s4", "V4" ), SmallGroup( 96, 226 ), TransitiveGroup( 12, 48 ), TransitiveGroup( 16, 182 ), TransitiveGroup( 24, 125 ), TransitiveGroup( 24, 126 ), TransitiveGroup( 24, 150 ), TransitiveGroup( 24, 151 ), TransitiveGroup( 24, 152 )

Stored class fusions from this table:

4.2⁴:(2 × S₃), HS

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