Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L2(29)

Name:
L2(29)
Group order:
12180 = 22 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 29
Number of classes:
17
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,29]
Maximal subgroups:
  Order Index Structure Name
1 406 30 29:14 29:14
2 60 203 A5 A5
3 60 203 A5 A5
4 30 406 D30 D30
5 28 435 D28 D28
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
29 dec. matrix (PDF)
Atlas representations:
31 available
Group constructions in GAP:
AtlasGroup( "L2(29)" ), AtlasSubgroup( "Ru", 9 ), POmega( 3, 29 ), PSL( 2, 29 ), PSU( 2, 29 ), PSp( 2, 29 ), PerfectGroup( 12180, 1 ), PrimitiveGroup( 30, 1 ), PrimitiveGroup( 203, 1 ), PrimitiveGroup( 406, 1 ), PrimitiveGroup( 435, 1 ), SmallGroup( 12180, 167 ), TransitiveGroup( 30, 808 )
Stored class fusions from this table:
L2(29).2, Ru
Stored class fusions to this table:
2.L2(29), 29:14, A5, D28, D30

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