Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 5:4 × S₄

Name:

5:4xS4

Group order:

480 = 2⁵ ⋅ 3 ⋅ 5

Number of classes:

25

InfoText value:

Sylow 5 normalizer in O7(3)

Group constructions in GAP:

DirectProduct( "s4", "5:4" ), SmallGroup( 480, 1189 ), TransitiveGroup( 20, 121 ), TransitiveGroup( 30, 110 ), TransitiveGroup( 30, 114 ), TransitiveGroup( 30, 115 ), TransitiveGroup( 30, 117 )

Stored class fusions from this table:

O₇(3), S₆ × S₄

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