Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L2(23)

Name:
L2(23)
Group order:
6072 = 23 ⋅ 3 ⋅ 11 ⋅ 23
Number of classes:
14
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,11,23]
Maximal subgroups:
  Order Index Structure Name
1 253 24 23:11 23:11
2 24 253 S4 s4
3 24 253 S4 s4
4 24 253 D24 D24
5 22 276 D22 D22
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
11 dec. matrix (PDF)
23 dec. matrix (PDF)
Atlas representations:
31 available
Group constructions in GAP:
AtlasGroup( "L2(23)" ), AtlasSubgroup( "Fi23", 14 ), AtlasSubgroup( "M24", 8 ), POmega( 3, 23 ), PSL( 2, 23 ), PSU( 2, 23 ), PSp( 2, 23 ), PerfectGroup( 6072, 1 ), PrimitiveGroup( 24, 2 ), PrimitiveGroup( 253, 1 ), PrimitiveGroup( 253, 3 ), PrimitiveGroup( 276, 1 ), TransitiveGroup( 24, 7817 )
Stored class fusions from this table:
Fi23, L2(23).2, M24
Stored class fusions to this table:
2.L2(23), 23:11, D22, D24, S4

File created automatically by GAP on 6-May-2025.