Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U3(9)

Name:
U3(9)
Group order:
42573600 = 25 ⋅ 36 ⋅ 52 ⋅ 73
Number of classes:
92
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r.
Maximal subgroups:
  Order Index Structure Name
1 58320 730 32+4:80 3^(2+4):80
2 7200 5913 5 × Isoclinic(2.A6.22) 5xIsoclinic(2.A6.2_2)
3 720 59130 A6.22 A6.2_2
4 600 70956 102:S3 10^2:S3
5 219 194400 73:3 73:3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
73 dec. matrix (PDF)
Atlas representations:
2 available
Group constructions in GAP:
AtlasGroup( "U3(9)" ), PSU( 3, 9 ), PrimitiveGroup( 730, 1 )
Stored class fusions from this table:
U3(9).2, U3(9).4
Stored class fusions to this table:
32+4:80, 5 × Isoclinic(2.A6.22), 102:S3, 73:3, A6.22

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