Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for Sz(8)

Name:

Sz(8)

Group order:

29120 = 2⁶ ⋅ 5 ⋅ 7 ⋅ 13

Number of classes:

11

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r.

Maximal subgroups:

	Order	Index	Structure	Name
1	448	65	23+3:7	2^(3+3):7
2	52	560	13:4	13:4
3	20	1456	5:4	5:4
4	14	2080	D14	D14

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	448	65	23+3:7	2^(3+3):7
5	20	1456	5:4	5:4
7	14	2080	D14	D14
13	52	560	13:4	13:4

Available Brauer tables:

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

Atlas representations:

36 available

Group constructions in GAP:

AtlasGroup( "Sz(8)" ), AtlasSubgroup( "Sz(8).3", 1 ), PerfectGroup( 29120, 1 ), PrimitiveGroup( 65, 6 ), PrimitiveGroup( 560, 1 ), PrimitiveGroup( 1456, 1 ), PrimitiveGroup( 2080, 1 ), SuzukiGroup( 8 )

Stored class fusions from this table:

Sz(8).3

Stored class fusions to this table:

2.Sz(8), 2².Sz(8), 2¹²:Sz(8), 2³⁺³:7, 5:4, 13:4, D₁₄

File created automatically by GAP on 6-May-2025.