Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₂(19)

Name:

L2(19)

Group order:

3420 = 2² ⋅ 3² ⋅ 5 ⋅ 19

Number of classes:

12

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,19]

Duplicates:

L₂(19)

Maximal subgroups:

	Order	Index	Structure	Name
1	171	20	19:9	19:9
2	60	57	A5	A5
3	60	57	A5	A5
4	20	171	D20	D20
5	18	190	D18	D18

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
19	171	20	19:9	19:9

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
19	dec. matrix (PDF)

Atlas representations:

40 available

Group constructions in GAP:

AtlasGroup( "L2(19)" ), AtlasStabilizer( "J3", "J3G1-p14688aB0" ), AtlasStabilizer( "J3", "J3G1-p14688bB0" ), AtlasSubgroup( "J3", 2 ), AtlasSubgroup( "J3", 3 ), POmega( 3, 19 ), PSL( 2, 19 ), PSU( 2, 19 ), PSp( 2, 19 ), PerfectGroup( 3420, 1 ), PrimitiveGroup( 20, 1 ), PrimitiveGroup( 57, 1 ), PrimitiveGroup( 171, 1 ), PrimitiveGroup( 190, 1 ), SmallGroup( 3420, 144 ), TransitiveGroup( 20, 272 )

Stored class fusions from this table:

J₃, L₂(19).2

Stored class fusions to this table:

2.L₂(19), 19:9, A₅, D₁₈, D₂₀

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