Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.J₃.2

Name:

3.J3.2

Group order:

301397760 = 2⁸ ⋅ 3⁶ ⋅ 5 ⋅ 17 ⋅ 19

Number of classes:

47

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
1	150698880	2	3.J3	3.J3
2	48960	6156	(3 × L2(16):2).2	(3xL2(16):2).2
5	12960	23256	3.(3 × M10):2	3.(3xM10):2
6	11664	25840	33.31+2:8.2	3^3.3^(1+2):8.2

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
3	11664	25840	33.31+2:8.2	3^3.3^(1+2):8.2

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:

2 available

Group constructions in GAP:

AtlasGroup( "3.J3.2" )

Stored class fusions from this table:

J₃.2

Stored class fusions to this table:

3.(3 × M₁₀):2, 3.J₃, 3³.3¹⁺²:8.2, (3 × L₂(16):2).2

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