Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L2(11)

Name:
L2(11)
Group order:
660 = 22 ⋅ 3 ⋅ 5 ⋅ 11
Number of classes:
8
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11]
Maximal subgroups:
  Order Index Structure Name
1 60 11 A5 A5
2 60 11 A5 A5
3 55 12 11:5 11:5
4 12 55 S3 × 2 S3x2
Stored Sylow p normalizers:
p Order Index Structure Name
11 55 12 11:5 11:5
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
11 dec. matrix (PDF)
Atlas representations:
35 available
Group constructions in GAP:
AtlasGroup( "L2(11)" ), AtlasStabilizer( "J1", "J1G1-p266B0" ), AtlasStabilizer( "M11", "M11G1-p12B0" ), AtlasStabilizer( "M12", "M12G1-p144aB0" ), AtlasStabilizer( "M22", "M22G1-p672B0" ), AtlasStabilizer( "U5(2)", "U52G1-p20736B0" ), AtlasSubgroup( "J1", 1 ), AtlasSubgroup( "L2(11).2", 1 ), AtlasSubgroup( "M11", 2 ), AtlasSubgroup( "M12", 5 ), AtlasSubgroup( "M22", 8 ), AtlasSubgroup( "U5(2)", 6 ), POmega( 3, 11 ), PSL( 2, 11 ), PSU( 2, 11 ), PSp( 2, 11 ), PerfectGroup( 660, 1 ), PrimitiveGroup( 11, 5 ), PrimitiveGroup( 12, 3 ), PrimitiveGroup( 55, 1 ), SmallGroup( 660, 13 ), TransitiveGroup( 11, 5 ), TransitiveGroup( 12, 179 )
Stored class fusions from this table:
J1, L2(11).2, M11, M12, M22, U5(2)
Stored class fusions to this table:
2.(2 × L2(11)), 2.L2(11), 11:5, A5, P43/G1/L1/V1/ext2, P43/G2/L1/V1/ext2, P43/G3/L1/V1/ext2, P43/G3/L1/V2/ext2, S3 × 2

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