Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2⁶:S₆

Name:

2^6:S6

Group order:

46080 = 2¹⁰ ⋅ 3² ⋅ 5

Number of classes:

65

InfoText value:

maximal subgroup of S12, origin: Dixon's Algorithm

Group constructions in GAP:

AtlasStabilizer( "A12.2", "S12G1-p10395B0" ), TransitiveGroup( 12, 293 ), TransitiveGroup( 24, 14632 ), TransitiveGroup( 24, 14633 ), TransitiveGroup( 24, 14634 )

Stored class fusions from this table:

S₆, S₁₂

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