Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L3(9)

Name:
L3(9)
Group order:
42456960 = 27 ⋅ 36 ⋅ 5 ⋅ 7 ⋅ 13
Number of classes:
90
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,13]
Maximal subgroups:
  Order Index Structure Name
1 466560 91 34:GL2(9) 3^4:GL2(9)
2 466560 91 34:GL2(9) 3^4:GL2(9)
3 6048 7020 U3(3) U3(3)
4 5616 7560 L3(3) L3(3)
5 720 58968 A6.22 A6.2_2
6 384 110565 82:S3 8^2:S3
7 273 155520 91:3 91:3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
13 dec. matrix (PDF)
Group constructions in GAP:
PSL( 3, 9 ), PrimitiveGroup( 91, 7 )
Stored class fusions from this table:
L3(9).21, L3(9).22, L3(9).23
Stored class fusions to this table:
34:GL2(9), 82:S3, 91:3, A6.22, L3(3), U3(3)

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