Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O8+(2)M8

Name:

O8+(2)M8

Group order:

181440 = 2⁶ ⋅ 3⁴ ⋅ 5 ⋅ 7

Number of classes:

18

InfoText value:

8th maximal subgroup of O8+(2), differs from O8+(2)M7 = A9 only by fusion map

Main table:

A₉

Group constructions in GAP:

AlternatingGroup( 9 ), AtlasGroup( "A9" ), AtlasStabilizer( "A10", "A10G1-p10B0" ), PerfectGroup( 181440, 1 ), PrimitiveGroup( 9, 10 ), PrimitiveGroup( 36, 11 ), PrimitiveGroup( 84, 1 ), PrimitiveGroup( 120, 2 ), PrimitiveGroup( 126, 12 ), PrimitiveGroup( 280, 1 ), PrimitiveGroup( 840, 1 ), TransitiveGroup( 9, 33 )

Stored class fusions from this table:

O₈⁺(2)

Stored class fusions to this table:

2.A₉, 2 × 2.A₉

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