Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for M₂₂

Name:

McLM3

Group order:

443520 = 2⁷ ⋅ 3² ⋅ 5 ⋅ 7 ⋅ 11

Number of classes:

12

InfoText value:

3rd maximal subgroup of McL, differs from McLM2 only by fusion map

Main table:

M₂₂

Group constructions in GAP:

AtlasGroup( "M22" ), AtlasStabilizer( "HS", "HSG1-p100B0" ), AtlasStabilizer( "M23", "M23G1-p23B0" ), AtlasStabilizer( "McL", "McLG1-p2025aB0" ), AtlasStabilizer( "McL", "McLG1-p2025bB0" ), AtlasStabilizer( "U6(2)", "U62G1-p20736aB0" ), AtlasStabilizer( "U6(2)", "U62G1-p20736bB0" ), AtlasStabilizer( "U6(2)", "U62G1-p20736cB0" ), AtlasSubgroup( "HS", 1 ), AtlasSubgroup( "M22.2", 1 ), AtlasSubgroup( "M23", 1 ), AtlasSubgroup( "McL", 2 ), AtlasSubgroup( "McL", 3 ), AtlasSubgroup( "U6(2)", 11 ), AtlasSubgroup( "U6(2)", 12 ), AtlasSubgroup( "U6(2)", 13 ), MathieuGroup( 22 ), PerfectGroup( 443520, 1 ), PrimitiveGroup( 22, 1 ), PrimitiveGroup( 77, 1 ), PrimitiveGroup( 176, 3 ), PrimitiveGroup( 231, 1 ), PrimitiveGroup( 330, 1 ), PrimitiveGroup( 616, 1 ), PrimitiveGroup( 672, 5 ), TransitiveGroup( 22, 38 )

Stored class fusions from this table:

M^cL

Stored class fusions to this table:

3.M₂₂

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