Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for ON

Name:
ON
Group order:
460815505920 = 29 ⋅ 34 ⋅ 5 ⋅ 73 ⋅ 11 ⋅ 19 ⋅ 31
Number of classes:
30
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,19,31]
Maximal subgroups:
  Order Index Structure Name
1 3753792 122760 L3(7).2 L3(7).2
2 3753792 122760 L3(7).2 ONM2
3 175560 2624832 J1 J1
4 161280 2857239 42.L3(4).21 4_2.L3(4).2_1
5 25920 17778376 (32:4 × A6).2 ONM5
6 25920 17778376 34:2(1+4)D10 3^4:2^(1+4)D10
7 14880 30968784 L2(31) L2(31)
8 14880 30968784 L2(31) ONM8
9 10752 42858585 43.L3(2) 4^3.L3(2)
10 7920 58183776 M11 M11
11 7920 58183776 M11 ONM11
12 2520 182863296 A7 A7
13 2520 182863296 A7 A7
Stored Sylow p normalizers:
p Order Index Structure Name
2 512 900030285 43.D8 4^3.D8
3 25920 17778376 34:2(1+4)D10 3^4:2^(1+4)D10
5 720 640021536 (32:4 × D10).2 (3^2:4xD10).2
7 8232 55978560 71+2:(D8 × 3) 7^(1+2):(D8x3)
11 110 4189231872 11:10 11:10
19 114 4042241280 19:6 19:6
31 465 991001088 31:15 31:15
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)
31 dec. matrix (PDF)
Atlas representations:
12 available
Group constructions in GAP:
AtlasGroup( "ON" ), AtlasSubgroup( "ON.2", 1 )
Stored class fusions from this table:
ON.2
Stored class fusions to this table:
3.ON, 34:2(1+4)D10, 43.D8, 43.L3(2), 42.24:A5, 42.L3(4).21, 72:2.L2(7).2, 71+2:(D8 × 3), 11:10, 19:6, 31:15, (32:4 × D10).2, (42 × 2).23.S3, (4 × 22).24.S3, (72)b:2.L2(7).2, A7, J1, L2(31), L3(7).2, M11, NDG(ON, D8), L3(7).2, (32:4 × A6).2, L2(31), M11, S4 × 32:4

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