Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L2(19)

Name:
L2(19)
Group order:
3420 = 22 ⋅ 32 ⋅ 5 ⋅ 19
Number of classes:
12
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,19]
Duplicates:
J3M3
Maximal subgroups:
  Order Index Structure Name
1 171 20 19:9 19:9
2 60 57 A5 A5
3 60 57 A5 A5
4 20 171 D20 D20
5 18 190 D18 D18
Stored Sylow p normalizers:
p Order Index Structure Name
19 171 20 19:9 19:9
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
19 dec. matrix (PDF)
Atlas representations:
40 available
Group constructions in GAP:
AtlasGroup( "L2(19)" ), AtlasStabilizer( "J3", "J3G1-p14688aB0" ), AtlasStabilizer( "J3", "J3G1-p14688bB0" ), AtlasSubgroup( "J3", 2 ), AtlasSubgroup( "J3", 3 ), POmega( 3, 19 ), PSL( 2, 19 ), PSU( 2, 19 ), PSp( 2, 19 ), PerfectGroup( 3420, 1 ), PrimitiveGroup( 20, 1 ), PrimitiveGroup( 57, 1 ), PrimitiveGroup( 171, 1 ), PrimitiveGroup( 190, 1 ), SmallGroup( 3420, 144 ), TransitiveGroup( 20, 272 )
Stored class fusions from this table:
J3, L2(19).2
Stored class fusions to this table:
2.L2(19), 19:9, A5, D18, D20

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