Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for J₃.2

Name:

J3.2

Group order:

100465920 = 2⁸ ⋅ 3⁵ ⋅ 5 ⋅ 17 ⋅ 19

Number of classes:

30

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,17,19], constructions: Aut(J3)

Maximal subgroups:

	Order	Index	Structure	Name
1	50232960	2	J3	J3
2	16320	6156	L2(16).4	L2(16).4
3	5760	17442	24:(3 × A5):2	2^4:(3xA5).2
4	4896	20520	L2(17) × 2	L2(17)x2
5	4320	23256	(3 × M10):2	(3xM10):2
6	3888	25840	32.31+2:8.2	3^2.3^(1+2):8.2
7	3840	26163	21+4.S5	2^(1+4).S5
8	2304	43605	22+4:(S3 × S3)	2^(2+4):(S3xS3)
9	342	293760	19:18	19:18

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:

32 available

Group constructions in GAP:

AtlasGroup( "J3.2" ), AutomorphismGroup( AtlasGroup( "J3" ) )

Stored class fusions to this table:

2⁴:(3 × A₅):2, 2¹⁺⁴.S₅, 2²⁺⁴.(S₃ × 2), 2²⁺⁴:(S₃ × S₃), 3.J₃.2, 3².3¹⁺²:8.2, 19:18, (3 × M₁₀):2, J₃, L₂(16).4, L₂(17) × 2

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