Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₃(4).2₂

Name:

L3(4).2_2

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

Available Brauer tables:

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

Group constructions in GAP:

AtlasStabilizer( "M22.2", "M22d2G1-p22B0" ), AtlasStabilizer( "M23", "M23G1-p253aB0" ), AtlasStabilizer( "McL", "McLG1-p22275aB0" ), AtlasSubgroup( "M22.2", 2 ), AtlasSubgroup( "M23", 2 ), AtlasSubgroup( "McL", 7 ), PrimitiveGroup( 21, 5 ), PrimitiveGroup( 56, 2 ), PrimitiveGroup( 120, 7 ), PrimitiveGroup( 280, 5 ), TransitiveGroup( 21, 85 )

Stored class fusions from this table:

L₃(4).2², L₃(4).3.2₂, M₂₂.2, M₂₃, M^cL, U₄(3).2₁

Stored class fusions to this table:

2.L₃(4).2₂, 2².L₃(4).2₂, 2⁴:S₅, 3.L₃(4).2₂, 3²:Q₈.2, 4₁.L₃(4).2₂, 4₂.L₃(4).2₂, 5:4, 6.L₃(4).2₂, 12₁.L₃(4).2₂, 12₂.L₃(4).2₂, (2² × 3).L₃(4).2₂, S₆, L₃(4)

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