Overview of the GAP Character Table Library (version 1.3.10)

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 6-May-2025.