Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for HSM3

Name:

HSM3

Group order:

252000 = 2⁵ ⋅ 3² ⋅ 5³ ⋅ 7

Number of classes:

19

InfoText value:

3rd maximal subgroup of HS, differs from HSM2 only by fusion map

Main table:

U₃(5).2

Group constructions in GAP:

AtlasGroup( "U3(5).2" ), AtlasStabilizer( "HS", "HSG1-p176aB0" ), AtlasStabilizer( "HS", "HSG1-p176bB0" ), AtlasStabilizer( "McL.2", "McLd2G1-p7128B0" ), AtlasSubgroup( "HS", 2 ), AtlasSubgroup( "HS", 3 ), AtlasSubgroup( "McL.2", 3 ), AtlasSubgroup( "Ru", 5 ), PrimitiveGroup( 50, 2 ), PrimitiveGroup( 126, 4 ), PrimitiveGroup( 175, 4 ), PrimitiveGroup( 525, 2 ), PrimitiveGroup( 750, 1 )

Stored class fusions from this table:

HS

Stored class fusions to this table:

Isoclinic(U₃(5).2 × 2)

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