Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2.Sz(8)

Name:

2.Sz(8)

Group order:

58240 = 2⁷ ⋅ 5 ⋅ 7 ⋅ 13

Number of classes:

19

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	896	65	2.23+3:7	2.2^(3+3):7
2	104	560	2 × 13:4	2x13:4
3	40	1456	2 × 5:4	2x5:4
4	28	2080	D28	D28

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	896	65	2.23+3:7	2.2^(3+3):7
5	40	1456	2 × 5:4	2x5:4
7	28	2080	D28	D28
13	104	560	2 × 13:4	2x13:4

Available Brauer tables:

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

Atlas representations:

6 available

Group constructions in GAP:

AtlasGroup( "2.Sz(8)" ), PerfectGroup( 58240, 1 )

Stored class fusions from this table:

Sz(8)

Stored class fusions to this table:

2.2³⁺³:7, 2².Sz(8), 2 × 5:4, 2 × 13:4, D₂₈

File created automatically by GAP on 20-May-2025.