Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L2(11).2

Name:
L2(11).2
Group order:
1320 = 23 ⋅ 3 ⋅ 5 ⋅ 11
Number of classes:
13
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11], constructions: Aut(L2(11))
Duplicates:
L2(11).2, L2(11).2, L2(11).2, L2(11).2
Maximal subgroups:
  Order Index Structure Name
1 660 2 L2(11) L2(11)
2 110 12 11:10 11:10
3 24 55 S4 s4
4 24 55 D24 D24
5 20 66 D20 D20
Stored Sylow p normalizers:
p Order Index Structure Name
11 110 12 11:10 11:10
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
11 dec. matrix (PDF)
Atlas representations:
14 available
Group constructions in GAP:
AtlasGroup( "L2(11).2" ), AtlasStabilizer( "M12.2", "M12d2G1-p144aB0" ), AtlasStabilizer( "M12.2", "M12d2G1-p144bB0" ), AtlasStabilizer( "M22.2", "M22d2G1-p672B0" ), AtlasStabilizer( "U5(2).2", "U52d2G1-p20736B0" ), AtlasSubgroup( "M12.2", 2 ), AtlasSubgroup( "M12.2", 3 ), AtlasSubgroup( "M22.2", 7 ), AtlasSubgroup( "U5(2).2", 7 ), AutomorphismGroup( AtlasGroup( "L2(11)" ) ), PrimitiveGroup( 12, 4 ), PrimitiveGroup( 55, 2 ), PrimitiveGroup( 55, 3 ), PrimitiveGroup( 66, 1 ), SmallGroup( 1320, 133 ), TransitiveGroup( 12, 218 ), TransitiveGroup( 22, 14 ), TransitiveGroup( 24, 2949 )
Stored class fusions from this table:
S12, B, L2(121), L3(11), M12.2, M22.2, U3(11), U5(2).2
Stored class fusions to this table:
2.L2(11).2, 11:10, (L2(11) × M12):2, D20, D24, L2(11), S4

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