Overview of the GAP Character Table Library (version 1.3.10)

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(121)M3, M12.2M3, U3(11)M4, U3(11)M5

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, Isoclinic(2.L₂(11).2), L₂(11), S₄

File created automatically by GAP on 20-May-2025.