Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 12₁.L₃(4)

Name:

12_1.L3(4)

Group order:

241920 = 2⁸ ⋅ 3³ ⋅ 5 ⋅ 7

Number of classes:

82

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
1	11520	21	3 × 41.24:A5	3x4_1.2^4:A5

Available Brauer tables:

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

Atlas representations:

1 available

Group constructions in GAP:

AtlasGroup( "12_1.L3(4)" ), AtlasSubgroup( "12.M22", 1 ), PerfectGroup( 241920, 4 )

Stored class fusions from this table:

2.L₃(4), 3.L₃(4), 4₁.L₃(4), 6.L₃(4), 12.M₂₂, 12₁.L₃(4).2₁, 12₁.L₃(4).2₂, 12₁.L₃(4).2₃, L₃(4)

Stored class fusions to this table:

3 × 4₁.2⁴:A₅, 12.M₂₂N3, (2 × 12).L₃(4)

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