Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A₁₇

Name:

A17

Group order:

177843714048000 = 2¹⁴ ⋅ 3⁶ ⋅ 5³ ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17

Number of classes:

156

InfoText value:

origin: computed from generic table of alternating groups (reordered)

Available Brauer tables:

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

Atlas representations:

9 available

Group constructions in GAP:

AlternatingGroup( 17 ), AtlasGroup( "A17" ), PrimitiveGroup( 17, 9 ), PrimitiveGroup( 136, 11 ), PrimitiveGroup( 680, 1 ), PrimitiveGroup( 2380, 5 ), TransitiveGroup( 17, 9 )

Stored class fusions from this table:

A₁₇.2

Stored class fusions to this table:

(A₅ × A₁₂):2

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