Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A9M5

Name:
A9M5
Group order:
1512 = 23 ⋅ 33 ⋅ 7
Number of classes:
11
InfoText value:
5th maximal subgroup of A9, differs from A9M4 = L2(8).3 only by fusion map
Main table:
L2(8).3
Group constructions in GAP:
AtlasGroup( "L2(8).3" ), AtlasStabilizer( "A9", "A9G1-p120aB0" ), AtlasStabilizer( "A9", "A9G1-p120bB0" ), AtlasStabilizer( "S6(2)", "S62G1-p960B0" ), AtlasSubgroup( "G2(3)", 7 ), AtlasSubgroup( "R(27)", 3 ), AtlasSubgroup( "S6(2)", 8 ), AutomorphismGroup( AtlasGroup( "L2(8)" ) ), PrimitiveGroup( 9, 9 ), PrimitiveGroup( 28, 3 ), PrimitiveGroup( 36, 2 ), SmallGroup( 1512, 779 ), TransitiveGroup( 9, 32 ), TransitiveGroup( 27, 391 ), TransitiveGroup( 28, 165 )
Stored class fusions from this table:
A9

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