Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S4(4)M6

Name:

S4(4)M6

Group order:

7200 = 2⁵ ⋅ 3² ⋅ 5²

Number of classes:

20

InfoText value:

6th maximal subgroup of S4(4), differs from S4(4)M5 only by fusion map

Main table:

(A₅ × A₅):2

Group constructions in GAP:

AtlasSubgroup( "S4(4)", 5 ), AtlasSubgroup( "S4(4)", 6 ), PrimitiveGroup( 25, 23 ), PrimitiveGroup( 36, 17 ), PrimitiveGroup( 60, 3 ), PrimitiveGroup( 60, 4 ), PrimitiveGroup( 100, 5 ), TransitiveGroup( 10, 40 ), TransitiveGroup( 12, 269 ), TransitiveGroup( 20, 363 ), TransitiveGroup( 24, 9631 ), TransitiveGroup( 25, 88 ), TransitiveGroup( 30, 652 )

Stored class fusions from this table:

S₄(4)

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