Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₆(4).2

Name:

S6(4).2

Group order:

8212119552000 = 2¹⁹ ⋅ 3⁴ ⋅ 5³ ⋅ 7 ⋅ 13 ⋅ 17

Number of classes:

105

InfoText value:

origin: computed using Dixon's algorithm and character theoretic methods, Thomas Breuer, May 21st, 2005, constructions: Aut(S6(4))

Group constructions in GAP:

AutomorphismGroup( POmega( 7, 4 ) ), PrimitiveGroup( 1365, 8 ), PrimitiveGroup( 2016, 13 ), PrimitiveGroup( 2080, 12 )

Stored class fusions from this table:

S₁₂(2)

Stored class fusions to this table:

S₆(4)

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