Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₃(4).3

Name:

L3(4).3

Group order:

60480 = 2⁶ ⋅ 3³ ⋅ 5 ⋅ 7

Number of classes:

22

InfoText value:

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

Available Brauer tables:

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

Group constructions in GAP:

PrimitiveGroup( 21, 6 ), PrimitiveGroup( 280, 7 ), PrimitiveGroup( 960, 1 ), TransitiveGroup( 21, 91 )

Stored class fusions from this table:

³D₄(4), L₃(4).3.2₂, L₃(4).3.2₃, L₃(4).6

Stored class fusions to this table:

2².L₃(4).3, 3.L₃(4).3, 3²:2A₄, (2² × 3).L₃(4).3, Isoclinic(3.L₃(4).3, 1), Isoclinic(3.L₃(4).3, 2), L₃(4), 2⁴:(3 × A₅)

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