Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for J1

Name:
J1
Group order:
175560 = 23 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 11 ⋅ 19
Number of classes:
15
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,19]
Maximal subgroups:
  Order Index Structure Name
1 660 266 L2(11) L2(11)
2 168 1045 23:7:3 2^3.7.3
3 120 1463 2 × A5 2xA5
4 114 1540 19:6 19:6
5 110 1596 11:10 11:10
6 60 2926 D6 × D10 D6xD10
7 42 4180 7:6 7:6
Stored Sylow p normalizers:
p Order Index Structure Name
2 168 1045 23:7:3 2^3.7.3
3 60 2926 D6 × D10 D6xD10
5 60 2926 D6 × D10 D6xD10
7 42 4180 7:6 7:6
11 110 1596 11:10 11:10
19 114 1540 19:6 19:6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
11 dec. matrix (PDF)
19 dec. matrix (PDF)
Atlas representations:
91 available
Group constructions in GAP:
AtlasGroup( "J1" ), AtlasSubgroup( "ON", 3 ), PerfectGroup( 175560, 1 ), PrimitiveGroup( 266, 1 ), PrimitiveGroup( 1045, 1 ), PrimitiveGroup( 1463, 1 ), PrimitiveGroup( 1540, 1 ), PrimitiveGroup( 1596, 1 ), PrimitiveGroup( 2926, 1 )
Stored class fusions from this table:
ON
Stored class fusions to this table:
23:7:3, 2 × A5, 7:6, 11:10, 19:6, D6 × D10, L2(11)

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