Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U3(7)

Name:
U3(7)
Group order:
5663616 = 27 ⋅ 3 ⋅ 73 ⋅ 43
Number of classes:
58
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7,43]
Maximal subgroups:
  Order Index Structure Name
1 16464 344 71+2:48 7^(1+2):48
2 2688 2107 2(L2(7) × 4).2 2(L2(7)x4).2
3 384 14749 82:S3 8^2:S3
4 336 16856 L3(2).2 L3(2).2
5 129 43904 43:3 43:3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
43 dec. matrix (PDF)
Atlas representations:
27 available
Group constructions in GAP:
AtlasGroup( "U3(7)" ), PSU( 3, 7 ), PrimitiveGroup( 344, 1 ), PrimitiveGroup( 2107, 1 )
Stored class fusions from this table:
U3(7).2
Stored class fusions to this table:
2(L2(7) × 4).2, 71+2:48, 82:S3, 43:3, L3(2).2

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