Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₄(9).2₃

Name:

S4(9).2_3

Group order:

3443212800 = 2⁹ ⋅ 3⁸ ⋅ 5² ⋅ 41

Number of classes:

58

InfoText value:

the simple group extended by the product of diag. and field automorphism, origin: computed using Dixon's algorithm and character theoretic methods, Thomas Breuer, Aug. 24th, 2004

Group constructions in GAP:

PrimitiveGroup( 820, 6 ), PrimitiveGroup( 820, 23 ), PrimitiveGroup( 3240, 10 ), PrimitiveGroup( 3321, 10 )

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.