Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L2(17)

Name:
L2(17)
Group order:
2448 = 24 ⋅ 32 ⋅ 17
Number of classes:
11
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,17]
Maximal subgroups:
  Order Index Structure Name
1 136 18 17:8 17:8
2 24 102 S4 s4
3 24 102 S4 s4
4 18 136 D18 D18
5 16 153 D16 D16
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
17 dec. matrix (PDF)
Atlas representations:
29 available
Group constructions in GAP:
AtlasGroup( "L2(17)" ), AtlasStabilizer( "J3", "J3G1-p20520B0" ), AtlasSubgroup( "J3", 5 ), POmega( 3, 17 ), PSL( 2, 17 ), PSU( 2, 17 ), PSp( 2, 17 ), PerfectGroup( 2448, 1 ), PrimitiveGroup( 18, 1 ), PrimitiveGroup( 102, 1 ), PrimitiveGroup( 136, 1 ), PrimitiveGroup( 153, 1 ), TransitiveGroup( 18, 377 )
Stored class fusions from this table:
J3, L2(17).2, S8(2)
Stored class fusions to this table:
2.L2(17), 17:8, D16, D18, S4

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