Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A9

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 13-Mar-2024.