Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U3(3)

Name:
U3(3)
Group order:
6048 = 25 ⋅ 33 ⋅ 7
Number of classes:
14
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7]
Maximal subgroups:
  Order Index Structure Name
1 216 28 31+2:8 3^(1+2):8
2 168 36 L3(2) L3(2)
3 96 63 4.s4 4.s4
4 96 63 42:S3 4^2:s3
Stored Sylow p normalizers:
p Order Index Structure Name
2 32 189 M12C4 M12C4
3 216 28 31+2:8 3^(1+2):8
7 21 288 7:3 7:3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
36 available
Group constructions in GAP:
AtlasGroup( "U3(3)" ), AtlasStabilizer( "J2", "J2G1-p100B0" ), AtlasSubgroup( "J2", 1 ), AtlasSubgroup( "J4", 10 ), AtlasSubgroup( "U3(3).2", 1 ), PSU( 3, 3 ), PerfectGroup( 6048, 1 ), PrimitiveGroup( 28, 4 ), PrimitiveGroup( 36, 6 ), PrimitiveGroup( 63, 1 ), PrimitiveGroup( 63, 3 ), TransitiveGroup( 28, 323 )
Stored class fusions from this table:
26:u3(3), J2, J4, L3(9), P49/G1/L1/V1/ext3, U3(3).2, U4(3)
Stored class fusions to this table:
26:u3(3), 31+2:8, 4.s4, 42:S3, 7:3, L3(2), M12C4, P49/G1/L1/V1/ext2, P49/G1/L1/V1/ext3, P49/G1/L1/V2/ext3

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