Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for (S₆ × S₆):2

Name:

(S6xS6):2

Group order:

1036800 = 2⁹ ⋅ 3⁴ ⋅ 5²

Number of classes:

77

InfoText value:

10th maximal subgroup of S8(2)

Group constructions in GAP:

AtlasStabilizer( "A12.2", "S12G1-p462B0" ), PrimitiveGroup( 36, 16 ), PrimitiveGroup( 100, 22 ), PrimitiveGroup( 225, 5 ), TransitiveGroup( 12, 299 ), TransitiveGroup( 20, 973 ), TransitiveGroup( 24, 21434 ), TransitiveGroup( 24, 21435 ), TransitiveGroup( 24, 21436 ), TransitiveGroup( 30, 2029 )

Stored class fusions from this table:

S₁₂, S₈(2)

File created automatically by GAP on 6-May-2025.