Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U3(4)

Name:
U3(4)
Group order:
62400 = 26 ⋅ 3 ⋅ 52 ⋅ 13
Number of classes:
22
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,13]
Maximal subgroups:
  Order Index Structure Name
1 960 65 22+4:15 2^(2+4):15
2 300 208 5 × A5 5xA5
3 150 416 52:S3 5^2:S3
4 39 1600 13:3 13:3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
64 available
Group constructions in GAP:
AtlasGroup( "U3(4)" ), AtlasSubgroup( "U3(4).2", 1 ), PSU( 3, 4 ), PerfectGroup( 62400, 1 ), PrimitiveGroup( 65, 3 ), PrimitiveGroup( 208, 1 ), PrimitiveGroup( 416, 1 ), PrimitiveGroup( 1600, 17 )
Stored class fusions from this table:
U3(4).2, U3(4).4
Stored class fusions to this table:
22+4:15, 52:S3, 5 × A5, 13:3

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