Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₄(4).2₃

Name:

L4(4).2_3

Group order:

1974067200 = 2¹³ ⋅ 3⁴ ⋅ 5² ⋅ 7 ⋅ 17

Number of classes:

72

InfoText value:

origin: constructed by T. Breuer using the perm. repr. on 170 points and the table of the subgroup L4(4), L4(4).2_3 is the simple group L4(4) extended by the product of, the Frobenius automorphism and ``transpose inverse''

Available Brauer tables:

p
2	dec. matrix (PDF)

Group constructions in GAP:

PrimitiveGroup( 357, 2 ), PrimitiveGroup( 1008, 5 ), PrimitiveGroup( 1785, 1 )

Stored class fusions from this table:

L₄(4).2²

Stored class fusions to this table:

L₄(4)

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