Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 12₂.L₃(4)

Name:

12_2.L3(4)

Group order:

241920 = 2⁸ ⋅ 3³ ⋅ 5 ⋅ 7

Number of classes:

88

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 × 42.24:A5	3x4_2.2^4:A5

Atlas representations:

5 available

Group constructions in GAP:

AtlasGroup( "12_2.L3(4)" ), PerfectGroup( 241920, 3 )

Stored class fusions from this table:

2.L₃(4), 3.L₃(4), 4₂.L₃(4), 6.L₃(4), 12₂.L₃(4).2₁, 12₂.L₃(4).2₂, 12₂.L₃(4).2₃, L₃(4)

Stored class fusions to this table:

3 × 4₂.2⁴:A₅, (2 × 12).L₃(4)

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