Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for R(27)

Name:
R(27)
Group order:
10073444472 = 23 ⋅ 39 ⋅ 7 ⋅ 13 ⋅ 19 ⋅ 37
Number of classes:
35
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r.
Some maximal subgroups:
  Order Index Structure Name
1 511758 19684 33+6:26 3^(3+6):26
3 1512 6662331 L2(8).3 L2(8).3
5 168 59960979 (22 × D14):3 (2^2xD14):3
6 114 88363548 19:6 19:6
Stored Sylow p normalizers:
p Order Index Structure Name
3 511758 19684 33+6:26 3^(3+6):26
7 168 59960979 (22 × D14):3 (2^2xD14):3
19 114 88363548 19:6 19:6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
13 dec. matrix (PDF)
19 dec. matrix (PDF)
37 dec. matrix (PDF)
Atlas representations:
3 available
Group constructions in GAP:
AtlasGroup( "R(27)" ), AtlasSubgroup( "R(27).3", 1 ), ReeGroup( 27 )
Stored class fusions from this table:
R(27).3
Stored class fusions to this table:
33+6:26, 19:6, (22 × D14):3, L2(8).3

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