Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2⁵:S₆

Name:

2^5:S6

Group order:

23040 = 2⁹ ⋅ 3² ⋅ 5

Number of classes:

37

InfoText value:

origin: Dixon's Algorithm, 3rd maximal subgroup of S6(2)

Group constructions in GAP:

AtlasStabilizer( "S6(2)", "S62G1-p63B0" ), AtlasSubgroup( "2.M22.2", 3 ), AtlasSubgroup( "S6(2)", 3 ), TransitiveGroup( 12, 285 ), TransitiveGroup( 20, 531 ), TransitiveGroup( 24, 12618 )

Stored class fusions from this table:

2.M₂₂.2, S₆, A₁₂, O₇(3), S₆(2)

Stored class fusions to this table:

2.2⁵.S₆, 2.(2⁵:S₆)

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