Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₉

Name:

O7(3)M11

Group order:

362880 = 2⁷ ⋅ 3⁴ ⋅ 5 ⋅ 7

Number of classes:

30

InfoText value:

11th maximal subgroup of O7(3), differs from O7(3)M10 = A9.2 only by fusion map

Main table:

S₉

Group constructions in GAP:

AtlasGroup( "A9.2" ), AtlasStabilizer( "A10.2", "S10G1-p10B0" ), AtlasStabilizer( "A11", "A11G1-p55B0" ), AutomorphismGroup( AlternatingGroup( 9 ) ), PrimitiveGroup( 9, 11 ), PrimitiveGroup( 36, 12 ), PrimitiveGroup( 84, 2 ), PrimitiveGroup( 126, 13 ), PrimitiveGroup( 280, 2 ), PrimitiveGroup( 840, 2 ), SymmetricGroup( 9 ), TransitiveGroup( 9, 34 ), TransitiveGroup( 18, 887 )

Stored class fusions from this table:

O₇(3)

Stored class fusions to this table:

Isoclinic(2.A₉.2), 3 × S₉, 3 × Isoclinic(2.A₉.2)

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