Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U3(11)

Name:
U3(11)
Group order:
70915680 = 25 ⋅ 32 ⋅ 5 ⋅ 113 ⋅ 37
Number of classes:
48
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11,37]
Maximal subgroups:
  Order Index Structure Name
1 53240 1332 111+2+:40 11^(1+2)+:40
2 5280 13431 2(L2(11) × 2).2 2(L2(11)x2).2
3 1320 53724 L2(11).2 L2(11).2
4 1320 53724 L2(11).2 U3(11)M4
5 1320 53724 L2(11).2 U3(11)M5
6 360 196988 A6 A6
7 360 196988 A6 A6
8 360 196988 A6 A6
9 288 246235 (42 × 3):S3 (4^2x3):S3
10 111 638880 37:3 37:3
11 72 984940 32:Q8 3^2:Q8
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
11 dec. matrix (PDF)
37 dec. matrix (PDF)
Atlas representations:
8 available
Group constructions in GAP:
AtlasGroup( "U3(11)" ), PSU( 3, 11 ), PrimitiveGroup( 1332, 1 )
Stored class fusions from this table:
U3(11).2, U3(11).3
Stored class fusions to this table:
2(L2(11) × 2).2, 3.U3(11), 32:Q8, 111+2+:40, 37:3, (42 × 3):S3, A6, L2(11).2, L2(11).2, L2(11).2

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