Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 3D4(2)

Name:
3D4(2)
Group order:
211341312 = 212 ⋅ 34 ⋅ 72 ⋅ 13
Number of classes:
35
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r.
Maximal subgroups:
  Order Index Structure Name
1 258048 819 21+8+:L2(8) 2^(1+8)+:L2(8)
2 86016 2457 22.[29]:(7 × S3) 2^2.[2^9]:(7xS3)
3 12096 17472 U3(3).2 U3(3).2
4 3024 69888 S3 × L2(8) S3xL2(8)
5 2352 89856 (7 × L2(7)):2 (7xL2(7)):2
6 1296 163072 3(1+2)+.2S4 3^(1+2)+.2S4
7 1176 179712 72:2A4 7^2:2A4
8 216 978432 32:2A4 3^2:2A4
9 52 4064256 13:4 13:4
Stored Sylow p normalizers:
p Order Index Structure Name
7 1176 179712 72:2A4 7^2:2A4
13 52 4064256 13:4 13:4
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
18 available
Group constructions in GAP:
AtlasGroup( "3D4(2)" ), PrimitiveGroup( 819, 5 ), PrimitiveGroup( 2457, 1 ), SimpleGroup( "3D", 4, 2 )
Stored class fusions from this table:
3D4(2).3, 3D4(4)
Stored class fusions to this table:
22.[29]:(7 × S3), 21+8+:L2(8), 32:2A4, 3(1+2)+.2S4, 72:2A4, 13:4, (7 × L2(7)):2, S3 × L2(8), U3(3).2

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