Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.J₃

Name:

3.J3

Group order:

150698880 = 2⁷ ⋅ 3⁶ ⋅ 5 ⋅ 17 ⋅ 19

Number of classes:

55

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	24480	6156	3 × L2(16).2	3xL2(16).2
2	10260	14688	3 × L2(19)	3xL2(19)
3	10260	14688	3 × L2(19)	3xL2(19)
4	8640	17442	3 × 24:(3 × A5)	3x2^4:(3xA5)
5	7344	20520	3 × L2(17)	3xL2(17)
6	6480	23256	3 × (3 × A6):22	3x(3xA6):2_2
7	5832	25840	33.31+2:8	3^3.3^(1+2):8
8	5760	26163	3 × 21+4−:A5	3x2^(1+4)_-:A5
9	3456	43605	3 × 22+4:(3 × S3)	3x2^(2+4):(3xS3)

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	1152	130815	3 × J3N2	3xJ3N2
3	5832	25840	33.31+2:8	3^3.3^(1+2):8
5	180	837216	3 × D6 × D10	3xD6xD10
17	408	369360	3 × 17:8	3x17:8
19	513	293760	3 × 19:9	3x19:9

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:

19 available

Group constructions in GAP:

AtlasGroup( "3.J3" ), AtlasSubgroup( "3.J3.2", 1 )

Stored class fusions from this table:

3.J₃.2, J₃

Stored class fusions to this table:

3³.3¹⁺²:8, 3 × 2⁴:(3 × A₅), 3 × 2¹⁺⁴₋:A₅, 3 × 2²⁺⁴:(3 × S₃), 3 × 17:8, 3 × 19:9, 3 × (3 × A₆):2₂, 3 × D₆ × D₁₀, 3 × J₃N2, 3 × L₂(16).2, 3 × L₂(17), 3 × L₂(19)

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