Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₄(3).2²

Name:

L4(3).2^2

Group order:

24261120 = 2⁹ ⋅ 3⁶ ⋅ 5 ⋅ 13

Number of classes:

56

InfoText value:

origin: CAS library, tests: 1.o.r., pow[2,3,5,13], constructions: Aut(L4(3)), PGL(4,3) extended by transpose-inverse

Group constructions in GAP:

AutomorphismGroup( AtlasGroup( "L4(3)" ) ), PrimitiveGroup( 130, 5 ), PrimitiveGroup( 520, 7 ), PrimitiveGroup( 1080, 3 ), PrimitiveGroup( 2106, 5 )

Stored class fusions from this table:

F₄(2).2

Stored class fusions to this table:

L₄(3).2₁, L₄(3).2₂, L₄(3).2₃

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