Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L3(4)M4

Name:

L3(4)M4

Group order:

360 = 2³ ⋅ 3² ⋅ 5

Number of classes:

7

InfoText value:

4th maximal subgroup of L3(4), differs from L3(4)M3 only by fusion map

Main table:

A₆

Group constructions in GAP:

AlternatingGroup( 6 ), AtlasGroup( "A6" ), AtlasStabilizer( "A7", "A7G1-p7B0" ), AtlasStabilizer( "L3(4)", "L34G1-p56aB0" ), AtlasStabilizer( "L3(4)", "L34G1-p56bB0" ), AtlasStabilizer( "L3(4)", "L34G1-p56cB0" ), AtlasSubgroup( "A6.2_1", 1 ), AtlasSubgroup( "A7", 1 ), AtlasSubgroup( "L3(4)", 3 ), AtlasSubgroup( "L3(4)", 4 ), AtlasSubgroup( "L3(4)", 5 ), AtlasSubgroup( "S4(5)", 8 ), PSL( 2, 9 ), PerfectGroup( 360, 1 ), PrimitiveGroup( 6, 3 ), PrimitiveGroup( 10, 3 ), PrimitiveGroup( 15, 2 ), SmallGroup( 360, 118 ), TransitiveGroup( 6, 15 ), TransitiveGroup( 10, 26 ), TransitiveGroup( 15, 20 ), TransitiveGroup( 20, 89 ), TransitiveGroup( 30, 88 )

Stored class fusions from this table:

L₃(4)

Stored class fusions to this table:

2 × A₆

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