Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L3(4)M7

Name:

L3(4)M7

Group order:

168 = 2³ ⋅ 3 ⋅ 7

Number of classes:

6

InfoText value:

7th maximal subgroup of L3(4), differs from L3(4)M6 only by fusion map

Main table:

L₃(2)

Group constructions in GAP:

AtlasGroup( "L3(2)" ), AtlasStabilizer( "L3(4)", "L34G1-p120aB0" ), AtlasStabilizer( "L3(4)", "L34G1-p120bB0" ), AtlasStabilizer( "L3(4)", "L34G1-p120cB0" ), AtlasStabilizer( "L3(8)", "L38G1-p98112B0" ), AtlasStabilizer( "U3(3)", "U33G1-p36B0" ), AtlasSubgroup( "A7", 2 ), AtlasSubgroup( "L3(2).2", 1 ), AtlasSubgroup( "L3(4)", 6 ), AtlasSubgroup( "L3(4)", 7 ), AtlasSubgroup( "L3(4)", 8 ), AtlasSubgroup( "L3(8)", 5 ), AtlasSubgroup( "M24", 9 ), AtlasSubgroup( "U3(3)", 2 ), POmega( 3, 7 ), PSL( 2, 7 ), PSL( 3, 2 ), PSU( 2, 7 ), PSp( 2, 7 ), PerfectGroup( 168, 1 ), PrimitiveGroup( 7, 5 ), PrimitiveGroup( 8, 4 ), SmallGroup( 168, 42 ), TransitiveGroup( 7, 5 ), TransitiveGroup( 8, 37 ), TransitiveGroup( 14, 10 ), TransitiveGroup( 21, 14 ), TransitiveGroup( 24, 284 ), TransitiveGroup( 28, 32 )

Stored class fusions from this table:

L₃(4)

Stored class fusions to this table:

2 × L₃(2)

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