Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₂(49)

Name:

L2(49)

Group order:

58800 = 2⁴ ⋅ 3 ⋅ 5² ⋅ 7²

Number of classes:

27

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]

Some maximal subgroups:

	Order	Index	Structure	Name
1	1176	50	72:24	7^2:24

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
7	1176	50	72:24	7^2:24

Available Brauer tables:

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

Atlas representations:

10 available

Group constructions in GAP:

AtlasGroup( "L2(49)" ), POmega( -1, 4, 7 ), POmega( 3, 49 ), PSL( 2, 49 ), PSU( 2, 49 ), PSp( 2, 49 ), PerfectGroup( 58800, 1 ), PrimitiveGroup( 50, 3 ), PrimitiveGroup( 175, 1 ), PrimitiveGroup( 980, 1 ), PrimitiveGroup( 1176, 1 ), PrimitiveGroup( 1225, 13 )

Stored class fusions from this table:

L₂(49).2₁, L₂(49).2₂, L₂(49).2₃

Stored class fusions to this table:

2.L₂(49), 7²:24

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