Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₃ × S₆

Name:

S3xS6

Group order:

4320 = 2⁵ ⋅ 3³ ⋅ 5

Number of classes:

33

InfoText value:

7th maximal subgroup of S6(2)

Group constructions in GAP:

AtlasStabilizer( "S6(2)", "S62G1-p336B0" ), AtlasSubgroup( "S6(2)", 7 ), DirectProduct( "D6", "A6.2_1" ), TransitiveGroup( 18, 452 ), TransitiveGroup( 30, 535 )

Stored class fusions from this table:

S₉, S₆(2), S₆ × 2

Stored class fusions to this table:

2.(S₃ × S₆), 2³⁺⁸:(S₃ × S₆), 2⁵⁺⁸:(S₃ × S₆), S₃ × 5:4, S₆ × S₄

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