Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.ON

Name:
3.ON
Group order:
1382446517760 = 29 ⋅ 35 ⋅ 5 ⋅ 73 ⋅ 11 ⋅ 19 ⋅ 31
Number of classes:
80
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 11261376 122760 3 × L3(7).2 3xL3(7).2
2 11261376 122760 3 × L3(7).2 3xONM2
3 526680 2624832 3 × J1 3xJ1
4 483840 2857239 122.L3(4).21 12_2.L3(4).2_1
5 77760 17778376 3.(32:4 × A6).2 3.ONM5
6 77760 17778376 31+4+:21+4-D10 3.ONM6
7 44640 30968784 3 × L2(31) 3xL2(31)
8 44640 30968784 3 × L2(31) 3xONM8
9 32256 42858585 3 × 43.L3(2) 3x4^3.L3(2)
10 23760 58183776 3 × M11 3xM11
11 23760 58183776 3 × M11 3xONM11
12 7560 182863296 3.A7 3.A7
13 7560 182863296 3.A7 3.A7
Stored Sylow p normalizers:
p Order Index Structure Name
2 1536 900030285 3 × ONN2 3xONN2
3 77760 17778376 31+4+:21+4-D10 3.ONM6
5 2160 640021536 (31+2:4 × D10).2 (3^(1+2):4xD10).2
7 24696 55978560 3 × 71+2:(D8 × 3) 3x7^(1+2):(D8x3)
11 330 4189231872 3 × 11:10 3x11:10
19 342 4042241280 3 × 19:6 3x19:6
31 1395 991001088 3 × 31:15 3x31:15
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:
7 available
Group constructions in GAP:
AtlasGroup( "3.ON" ), AtlasSubgroup( "3.ON.2", 1 )
Stored class fusions from this table:
3.ON.2, ON
Stored class fusions to this table:
3.A7, 3 × 72:2.L2(7).2, 3.(32:4 × A6).2, 31+4+:21+4-D10, 3 × 43.L3(2), 3 × 42.24:A5, 3 × 72:2.L2(7).2, 3 × 71+2:(D8 × 3), 3 × 11:10, 3 × 19:6, 3 × 31:15, 3 × (42 × 2).23.S3, 3 × (4 × 22).24.S3, 3 × J1, 3 × L2(31), 3 × L3(7).2, 3 × M11, 3 × L3(7).2, 3 × L2(31), 3 × M11, 3 × ONN2, 122.L3(4).21, (31+2:4 × D10).2, NDG(3.ON, D8), S4 × 31+2:4

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