Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U3(5).3

Name:
U3(5).3
Group order:
378000 = 24 ⋅ 33 ⋅ 53 ⋅ 7
Number of classes:
34
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7], constructions: PGU(3,5)
Maximal subgroups:
  Order Index Structure Name
1 126000 3 U3(5) U3(5)
2 3000 126 5(1+2)+:24 5^(1+2)+:24
3 720 525 3 × 2S5 3x2S5
4 216 1750 32:2A4 3^2:2A4
5 216 1750 62:S3 6^2:S3
6 63 6000 7:3 × 3 7:3x3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Group constructions in GAP:
PGU( 3, 5 ), PrimitiveGroup( 126, 5 ), PrimitiveGroup( 525, 3 ), PrimitiveGroup( 1750, 1 ), PrimitiveGroup( 1750, 2 )
Stored class fusions from this table:
U3(5).3.2
Stored class fusions to this table:
3.U3(5).3, 32:2A4, 3 × 2S5, 5(1+2)+:24, 62:S3, 7:3 × 3, Isoclinic(3.U3(5).3, 1), Isoclinic(3.U3(5).3, 2), U3(5)

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