Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2⁴.(S₄ × 2)

Name:

2^4.(S4x2)

Group order:

768 = 2⁸ ⋅ 3

Number of classes:

24

InfoText value:

stabilizer of chain (2A^4 < 2A^4.[2^3]) in HS, origin: Dixon's Algorithm

Group constructions in GAP:

SmallGroup( 768, 1090135 ), TransitiveGroup( 24, 2216 ), TransitiveGroup( 24, 2222 ), TransitiveGroup( 24, 2223 ), TransitiveGroup( 24, 2245 ), TransitiveGroup( 24, 2247 ), TransitiveGroup( 24, 2266 ), TransitiveGroup( 24, 2269 ), TransitiveGroup( 24, 2271 ), TransitiveGroup( 24, 2275 )

Stored class fusions from this table:

2⁴.S₆, HS

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