Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U4(2)

Name:
U4(2)
Group order:
25920 = 26 ⋅ 34 ⋅ 5
Number of classes:
20
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]
Duplicates:
U4(3)M3
Maximal subgroups:
  Order Index Structure Name
1 960 27 24:A5 P1/G1/L1/V1/ext2
2 720 36 S6 A6.2_1
3 648 40 3(1+2)+:2A4 3^(1+2)+:2A4
4 648 40 33:S4 3^3:S4`
5 576 45 2.(A4 × A4).2 b33141
Stored Sylow p normalizers:
p Order Index Structure Name
2 192 135 24:A4 2^4:A4
3 162 160 33:S3 3^3:S3
5 20 1296 5:4 5:4
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
Atlas representations:
35 available
Group constructions in GAP:
AtlasGroup( "U4(2)" ), POmega( -1, 6, 2 ), POmega( 5, 3 ), PSU( 4, 2 ), PSp( 4, 3 ), PerfectGroup( 25920, 1 ), PrimitiveGroup( 27, 12 ), PrimitiveGroup( 36, 8 ), PrimitiveGroup( 40, 1 ), PrimitiveGroup( 40, 3 ), PrimitiveGroup( 45, 4 ), TransitiveGroup( 27, 993 )
Stored class fusions from this table:
26:U4(2), 35:U4(2), U4(2).2, U4(3)
Stored class fusions to this table:
2.(A4 × A4), 2.21+6−.U4(2), 2.U4(2), 21+6−.U4(2), 24:A4, 26.U4(2), 26:U4(2), 3.35.U4(2), 33:A4, 33:S3, 33:S4, 35.U4(2), 35:U4(2), 3(1+2)+:2A4, 5:4, S6, C9Y3.35.U4(2), 24:A5, P50/G1/L1/V1/ext2, P50/G1/L1/V1/ext3, P50/G1/L1/V1/ext4, 2.(A4 × A4).2

File created automatically by GAP on 20-May-2025.