Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for Sz(8).3

Name:

Sz(8).3

Group order:

87360 = 2⁶ ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 13

Number of classes:

17

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., constructions: Aut(Sz(8))

Maximal subgroups:

	Order	Index	Structure	Name
1	29120	3	Sz(8)	Sz(8)
2	1344	65	23+3:7:3	2^(3+3):7:3
3	156	560	13:12	13:12
4	60	1456	5:4 × 3	5:4x3
5	42	2080	7:6	7:6

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	1344	65	23+3:7:3	2^(3+3):7:3

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
7	dec. matrix (PDF)
13	dec. matrix (PDF)

Atlas representations:

14 available

Group constructions in GAP:

AtlasGroup( "Sz(8).3" ), AutomorphismGroup( AtlasGroup( "Sz(8)" ) ), PrimitiveGroup( 65, 7 ), PrimitiveGroup( 560, 2 ), PrimitiveGroup( 1456, 2 ), PrimitiveGroup( 2080, 2 )

Stored class fusions to this table:

2.(2² × Sz(8)):3, 2².Sz(8).3, 2³⁺³:7:3, 5:4 × 3, 7:6, 13:12, (2² × Sz(8)):3, Sz(8)

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