Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U3(8)

Name:
U3(8)
Group order:
5515776 = 29 ⋅ 34 ⋅ 7 ⋅ 19
Number of classes:
28
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7,19]
Maximal subgroups:
  Order Index Structure Name
1 10752 513 23+6:21 2^(3+6):21
2 1512 3648 3 × L2(8) 3xL2(8)
3 216 25536 32:2A4 3^2:2A4
4 216 25536 32:2A4 U3(8)M4
5 216 25536 32:2A4 U3(8)M5
6 162 34048 (9 × 3).S3 (9x3).S3
7 57 96768 19:3 19:3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
19 dec. matrix (PDF)
Atlas representations:
7 available
Group constructions in GAP:
AtlasGroup( "U3(8)" ), PSU( 3, 8 ), PrimitiveGroup( 513, 1 ), PrimitiveGroup( 3648, 1 )
Stored class fusions from this table:
U3(8).2, U3(8).32, U3(8).31, U3(8).32, U3(8).33, U3(8).6
Stored class fusions to this table:
23+6:21, 3.U3(8), 32:2A4, 3 × L2(8), 19:3, (9 × 3).S3, 32:2A4, 32:2A4

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