Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₂(19).2

Name:

L2(19).2

Group order:

6840 = 2³ ⋅ 3² ⋅ 5 ⋅ 19

Number of classes:

21

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,19], constructions: Aut(L2(19))

Some maximal subgroups:

	Order	Index	Structure	Name
1	3420	2	L2(19)	L2(19)
2	342	20	19:18	19:18

Available Brauer tables:

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

Atlas representations:

6 available

Group constructions in GAP:

AtlasGroup( "L2(19).2" ), AtlasSubgroup( "Th", 12 ), AutomorphismGroup( AtlasGroup( "L2(19)" ) ), PrimitiveGroup( 20, 2 ), PrimitiveGroup( 171, 2 ), PrimitiveGroup( 190, 2 ), PrimitiveGroup( 285, 1 ), TransitiveGroup( 20, 362 )

Stored class fusions from this table:

M, Th

Stored class fusions to this table:

2.L₂(19).2, 19:18, Isoclinic(2.L₂(19).2), L₂(19)

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