Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L4(4)

Name:
L4(4)
Group order:
987033600 = 212 ⋅ 34 ⋅ 52 ⋅ 7 ⋅ 17
Number of classes:
84
InfoText value:
origin: constructed by T. Breuer using the perm. repr. on 85 points and the table of the subgroup 3.L3(4).3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
17 dec. matrix (PDF)
Atlas representations:
6 available
Group constructions in GAP:
AtlasGroup( "L4(4)" ), POmega( 1, 6, 4 ), PSL( 4, 4 ), PrimitiveGroup( 85, 3 ), PrimitiveGroup( 357, 1 ), PrimitiveGroup( 1008, 3 )
Stored class fusions from this table:
L4(4).21, L4(4).22, L4(4).23

File created automatically by GAP on 6-May-2025.