Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₄(9)

Name:

S4(9)

Group order:

1721606400 = 2⁸ ⋅ 3⁸ ⋅ 5² ⋅ 41

Number of classes:

74

InfoText value:

origin: computed using Dixon's algorithm and character theoretic methods, Thomas Breuer, Aug. 23rd, 2004

Atlas representations:

2 available

Group constructions in GAP:

AtlasGroup( "S4(9)" ), POmega( 5, 9 ), PSp( 4, 9 ), PrimitiveGroup( 820, 3 ), PrimitiveGroup( 820, 8 ), PrimitiveGroup( 3240, 9 ), PrimitiveGroup( 3321, 9 )

Stored class fusions from this table:

S₄(9).2₁, S₄(9).2₂, S₄(9).2₃

File created automatically by GAP on 13-Mar-2024.