Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S4(4).2M7

Name:

S4(4).2M7

Group order:

14400 = 2⁶ ⋅ 3² ⋅ 5²

Number of classes:

25

InfoText value:

7th maximal subgroup of S4(4).2

Main table:

(A₅ × A₅):2²

Group constructions in GAP:

PrimitiveGroup( 25, 24 ), PrimitiveGroup( 36, 18 ), PrimitiveGroup( 60, 5 ), PrimitiveGroup( 100, 6 ), TransitiveGroup( 10, 41 ), TransitiveGroup( 12, 279 ), TransitiveGroup( 20, 456 ), TransitiveGroup( 20, 459 ), TransitiveGroup( 24, 12117 ), TransitiveGroup( 25, 101 ), TransitiveGroup( 30, 819 )

Stored class fusions from this table:

S₄(4).2

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