Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L4(3)

Name:
L4(3)
Group order:
6065280 = 27 ⋅ 36 ⋅ 5 ⋅ 13
Number of classes:
29
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,13]
Maximal subgroups:
  Order Index Structure Name
1 151632 40 33:L3(3) 3^3:L3(3)
2 151632 40 33:L3(3) 3^3:L3(3)
3 51840 117 U4(2).2 U4(2).2
4 51840 117 U4(2).2 L4(3)M4
5 46656 130 34:2(A4 × A4).2 3^4:2(A4xA4).2
6 2880 2106 (4 × A6):2 (4xA6):2
7 720 8424 A6.22 A6.2_2
8 576 10530 S4 × S4 S4xS4
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
9 available
Group constructions in GAP:
AtlasGroup( "L4(3)" ), POmega( 1, 6, 3 ), PSL( 4, 3 ), PrimitiveGroup( 40, 5 ), PrimitiveGroup( 117, 2 ), PrimitiveGroup( 130, 1 ), PrimitiveGroup( 2106, 1 )
Stored class fusions from this table:
36:L4(3), L4(3).21, L4(3).22, L4(3).23
Stored class fusions to this table:
2.L4(3), 33:L3(3), 34:2(A4 × A4).2, 36:L4(3), (4 × A6):2, A6.22, U4(2).2, 36:L4(3), 36:L4(3), S4 × S4, U4(2).2

File created automatically by GAP on 13-Mar-2024.