Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₄(9).2₁

Name:

S4(9).2_1

Group order:

3443212800 = 2⁹ ⋅ 3⁸ ⋅ 5² ⋅ 41

Number of classes:

73

InfoText value:

PGammaS4(9), i.e, the simple group extended by the field automorphism, origin: computed using Dixon's algorithm and character theoretic methods, Thomas Breuer, Aug. 23rd, 2004

Group constructions in GAP:

PrimitiveGroup( 820, 5 ), PrimitiveGroup( 820, 22 ), PrimitiveGroup( 3240, 11 ), PrimitiveGroup( 3321, 11 )

Stored class fusions from this table:

S₄(9).2²

Stored class fusions to this table:

S₄(9)

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