Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L4(3)M4

Name:

L4(3)M4

Group order:

51840 = 2⁷ ⋅ 3⁴ ⋅ 5

Number of classes:

25

InfoText value:

4th maximal subgroup of L4(3), differs from L4(3)M3 only by fusion map

Main table:

U₄(2).2

Group constructions in GAP:

AtlasGroup( "U4(2).2" ), AtlasStabilizer( "S6(2)", "S62G1-p28B0" ), AtlasSubgroup( "S6(2)", 1 ), AutomorphismGroup( AtlasGroup( "U4(2)" ) ), PSO( 5, 3 ), PrimitiveGroup( 27, 13 ), PrimitiveGroup( 36, 9 ), PrimitiveGroup( 40, 2 ), PrimitiveGroup( 40, 4 ), PrimitiveGroup( 45, 5 ), TransitiveGroup( 27, 1161 )

Stored class fusions from this table:

L₄(3)

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