Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for J₃

Name:

J3

Group order:

50232960 = 2⁷ ⋅ 3⁵ ⋅ 5 ⋅ 17 ⋅ 19

Number of classes:

21

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,17,19]

Maximal subgroups:

	Order	Index	Structure	Name
1	8160	6156	L2(16).2	L2(16).2
2	3420	14688	L2(19)	L2(19)
3	3420	14688	L2(19)	J3M3
4	2880	17442	24:(3 × A5)	j3m4
5	2448	20520	L2(17)	L2(17)
6	2160	23256	(3 × A6):22	j3m6
7	1944	25840	32.31+2+:8	3^2.3^(1+2):8
8	1920	26163	21+4−:A5	2^1+4b:a5
9	1152	43605	22+4:(3 × S3)	2^2+4.3xs3

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	384	130815	J3N2	J3N2
3	1944	25840	32.31+2+:8	3^2.3^(1+2):8
5	60	837216	D6 × D10	D6xD10
17	136	369360	17:8	17:8
19	171	293760	19:9	19:9

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
17	dec. matrix (PDF)
19	dec. matrix (PDF)

Atlas representations:

42 available

Group constructions in GAP:

AtlasGroup( "J3" ), AtlasSubgroup( "J3.2", 1 )

Stored class fusions from this table:

J₃.2

Stored class fusions to this table:

2¹⁺⁴₋:A₅, 2²⁺⁴:(3 × S₃), 3.J₃, 3².3¹⁺²₊:8, 17:8, 19:9, D₆ × D₁₀, L₂(19), J₃N2, L₂(16).2, L₂(17), L₂(19), 2⁴:(3 × A₅), (3 × A₆):2₂

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