Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U3(5).3.2

Name:
U3(5).3.2
Group order:
756000 = 25 ⋅ 33 ⋅ 53 ⋅ 7
Number of classes:
29
InfoText value:
origin: ATLAS of finite groups, maximal subgroup of Co3, tests: 1.o.r., pow[2,3,5,7], constructions: Aut(U3(5))
Maximal subgroups:
  Order Index Structure Name
1 378000 2 U3(5).3 U3(5).3
2 252000 3 U3(5).2 U3(5).2
3 6000 126 51+2:(24:2) 5^(1+2):(24:2)
4 1440 525 (3 × 2S5).2 (3x2S5).2
5 432 1750 62:D12 6^2:D12
6 432 1750 32.2.S4 3^2.2.S4
7 126 6000 (7:3 × 3):2 (7:3x3):2
Stored Sylow p normalizers:
p Order Index Structure Name
5 6000 126 51+2:(24:2) 5^(1+2):(24:2)
Group constructions in GAP:
AtlasSubgroup( "Co3", 7 ), AutomorphismGroup( AtlasGroup( "U3(5)" ) ), PrimitiveGroup( 126, 6 ), PrimitiveGroup( 525, 4 ), PrimitiveGroup( 1750, 3 ), PrimitiveGroup( 1750, 4 )
Stored class fusions from this table:
Co3
Stored class fusions to this table:
3.U3(5).S3, 32.2.S4, 51+2:(24:2), 62:D12, (3 × 2S5).2, (52:[24] × U3(5)).S3, (7:3 × 3):2, U3(5), U3(5).2, U3(5).3

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