Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for Sz(32)

Name:

Sz(32)

Group order:

32537600 = 2¹⁰ ⋅ 5² ⋅ 31 ⋅ 41

Number of classes:

35

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	31744	1025	25+5:31	2^(5+5):31
2	164	198400	41:4	41:4
3	100	325376	25:4	25:4
4	62	524800	D62	D62

Available Brauer tables:

p
2	dec. matrix (PDF)
5	dec. matrix (PDF)
31	dec. matrix (PDF)
41	dec. matrix (PDF)

Atlas representations:

5 available

Group constructions in GAP:

AtlasGroup( "Sz(32)" ), PrimitiveGroup( 1025, 1 ), SuzukiGroup( 32 )

Stored class fusions from this table:

Sz(32).5

Stored class fusions to this table:

2⁵⁺⁵:31, 25:4, 41:4, D₆₂

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