Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₇(2).2

Name:

L7(2).2

Group order:

327699985858560 = 2²² ⋅ 3⁴ ⋅ 5 ⋅ 7² ⋅ 31 ⋅ 127

Number of classes:

114

InfoText value:

origin/source : M.R. Darafsheh, table of the automorphism group of GL_7(2), tests: 1.o.r., pow[2,3,5,7,31,127], sym[2,3,5,7], constructions: Aut(L7(2))

Some maximal subgroups:

	Order	Index	Structure	Name
1	163849992929280	2	L7(2)	L7(2)

Atlas representations:

13 available

Group constructions in GAP:

AtlasGroup( "L7(2).2" ), AutomorphismGroup( AtlasGroup( "L7(2)" ) )

Stored class fusions to this table:

L₇(2)

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