Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₃(4).2₁

Name:

L3(4).2_1

Group order:

40320 = 2⁷ ⋅ 3² ⋅ 5 ⋅ 7

Number of classes:

14

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
5	20	2016	5:4	5:4
7	42	960	7:6	7:6

Available Brauer tables:

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

Atlas representations:

21 available

Group constructions in GAP:

AtlasGroup( "L3(4).2_1" ), AtlasStabilizer( "HS", "HSG1-p1100aB0" ), AtlasSubgroup( "HS", 4 ), AtlasSubgroup( "U6(2)", 16 ), PrimitiveGroup( 56, 4 ), PrimitiveGroup( 105, 2 ), PrimitiveGroup( 120, 9 ), PrimitiveGroup( 280, 6 ), PrimitiveGroup( 336, 2 )

Stored class fusions from this table:

HS, L₃(4).2², L₃(4).6, U₄(3).2₃, U₆(2)

Stored class fusions to this table:

2.L₃(4).2₁, 2².L₃(4).2₁, 3.L₃(4).2₁, 4₁.L₃(4).2₁, 4₂.L₃(4).2₁, 5:4, 6.L₃(4).2₁, 7:6, 12₁.L₃(4).2₁, 12₂.L₃(4).2₁, (A₄ × L₃(4)):2₁, S₅, A₆.2₃, Isoclinic(2.L₃(4).2₁), L₃(2).2, L₃(4)

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