Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L2(13)

Name:
L2(13)
Group order:
1092 = 22 ⋅ 3 ⋅ 7 ⋅ 13
Number of classes:
9
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7,13]
Maximal subgroups:
  Order Index Structure Name
1 78 14 13:6 13:6
2 14 78 D14 D14
3 12 91 S3 × 2 S3x2
4 12 91 A4 a4
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
23 available
Group constructions in GAP:
AtlasGroup( "L2(13)" ), AtlasSubgroup( "G2(3)", 9 ), AtlasSubgroup( "G2(4)", 8 ), AtlasSubgroup( "S6(3)", 9 ), AtlasSubgroup( "S6(3)", 10 ), POmega( 3, 13 ), PSL( 2, 13 ), PSU( 2, 13 ), PSp( 2, 13 ), PerfectGroup( 1092, 1 ), PrimitiveGroup( 14, 1 ), PrimitiveGroup( 78, 1 ), PrimitiveGroup( 91, 1 ), PrimitiveGroup( 91, 3 ), SmallGroup( 1092, 25 ), TransitiveGroup( 14, 30 ), TransitiveGroup( 28, 120 )
Stored class fusions from this table:
A14, G2(3), G2(4), L2(13).2, S6(3)
Stored class fusions to this table:
2.L2(13), 13:6, D14, S3 × 2, A4

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