Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₂(81)

Name:

L2(81)

Group order:

265680 = 2⁴ ⋅ 3⁴ ⋅ 5 ⋅ 41

Number of classes:

43

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,41]

Some maximal subgroups:

	Order	Index	Structure	Name
1	3240	82	34:40	3^4:40

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
3	3240	82	34:40	3^4:40

Available Brauer tables:

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

Group constructions in GAP:

POmega( -1, 4, 9 ), POmega( 3, 81 ), PSL( 2, 81 ), PSU( 2, 81 ), PSp( 2, 81 ), PerfectGroup( 265680, 1 ), PrimitiveGroup( 82, 1 ), PrimitiveGroup( 369, 1 ), PrimitiveGroup( 3240, 1 ), PrimitiveGroup( 3321, 1 )

Stored class fusions from this table:

L₂(81).2₁, L₂(81).2₂, L₂(81).2₃, L₂(81).4₁, L₂(81).4₂

Stored class fusions to this table:

2.L₂(81), 3⁴:40

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