Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₂(23).2

Name:

L2(23).2

Group order:

12144 = 2⁴ ⋅ 3 ⋅ 11 ⋅ 23

Number of classes:

25

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,11,23], constructions: Aut(L2(23))

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
23	506	24	23:22	23:22

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
11	dec. matrix (PDF)
23	dec. matrix (PDF)

Atlas representations:

2 available

Group constructions in GAP:

AtlasGroup( "L2(23).2" ), AtlasSubgroup( "J4", 9 ), AutomorphismGroup( AtlasGroup( "L2(23)" ) ), PrimitiveGroup( 24, 3 ), PrimitiveGroup( 253, 2 ), PrimitiveGroup( 276, 2 ), TransitiveGroup( 24, 10255 )

Stored class fusions from this table:

J₄

Stored class fusions to this table:

2.L₂(23).2, 23:22, Isoclinic(2.L₂(23).2), L₂(23)

File created automatically by GAP on 6-May-2025.