Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for HSM9

Name:

HSM9

Group order:

7920 = 2⁴ ⋅ 3² ⋅ 5 ⋅ 11

Number of classes:

10

InfoText value:

9th maximal subgroup of HS, differs from HSM8 only by fusion map

Main table:

M₁₁

Group constructions in GAP:

AtlasGroup( "M11" ), AtlasStabilizer( "A11", "A11G1-p2520aB0" ), AtlasStabilizer( "A11", "A11G1-p2520bB0" ), AtlasStabilizer( "HS", "HSG1-p5600aB0" ), AtlasStabilizer( "HS", "HSG1-p5600bB0" ), AtlasStabilizer( "M12", "M12G1-p12aB0" ), AtlasStabilizer( "M12", "M12G1-p12bB0" ), AtlasStabilizer( "M23", "M23G1-p1288B0" ), AtlasStabilizer( "McL", "McLG1-p113400B0" ), AtlasSubgroup( "HS", 8 ), AtlasSubgroup( "HS", 9 ), AtlasSubgroup( "M12", 1 ), AtlasSubgroup( "M12", 2 ), AtlasSubgroup( "M23", 5 ), AtlasSubgroup( "McL", 11 ), AtlasSubgroup( "ON", 10 ), AtlasSubgroup( "ON", 11 ), MathieuGroup( 11 ), PerfectGroup( 7920, 1 ), PrimitiveGroup( 11, 6 ), PrimitiveGroup( 12, 1 ), PrimitiveGroup( 55, 4 ), PrimitiveGroup( 66, 2 ), PrimitiveGroup( 165, 3 ), TransitiveGroup( 11, 6 ), TransitiveGroup( 12, 272 ), TransitiveGroup( 22, 22 )

Stored class fusions from this table:

HS

Stored class fusions to this table:

2 × M₁₁

File created automatically by GAP on 20-May-2025.