Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2².L₃(4).S₃

Name:

2^2.psl(3,4).s3

Group order:

483840 = 2⁹ ⋅ 3³ ⋅ 5 ⋅ 7

Number of classes:

33

InfoText value:

origin: CAS library, maximal subgroup of He, test: 1.OR, JAMES, JAMES,n=3, and restricted characters decompose properly. tests: 1.o.r., pow[2,3,5,7]

Main table:

2².L₃(4).3.2₂

Maximal subgroups:

	Order	Index	Structure	Name
1	241920	2	22.L3(4).3	2^2.L3(4).3
2	161280	3	22.L3(4).22	2^2.L3(4).2_2
3	23040	21	26:(3 × A5):2	2^6:(3xA5):2
4	23040	21	26:(3 × A5):2	2^6:(3xA5):2
5	1728	280	hed3	hed3
6	504	960	7:3 × S4	7:3xS4

Group constructions in GAP:

AtlasStabilizer( "He", "HeG1-p8330B0" ), AtlasSubgroup( "He", 2 )

Stored class fusions from this table:

2².L₃(4).D₁₂, He, L₃(4).3.2₂

Stored class fusions to this table:

2².L₃(4).2₂, 2².L₃(4).3, 2⁶:(3 × A₅):2, 7:3 × S₄, hed₃

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