Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₃(8).6

Name:

L3(8).6

Group order:

98896896 = 2¹⁰ ⋅ 3³ ⋅ 7² ⋅ 73

Number of classes:

41

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7,73], constructions: Aut(L3(8)), SigmaL(3,8) extended by transpose-inverse

Available Brauer tables:

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

Atlas representations:

26 available

Group constructions in GAP:

AtlasGroup( "L3(8).6" ), AutomorphismGroup( AtlasGroup( "L3(8)" ) ), PrimitiveGroup( 657, 2 )

Stored class fusions to this table:

L₃(8), L₃(8).2, L₃(8).3

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