Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A₁₇.2

Name:

A17.2

Group order:

355687428096000 = 2¹⁵ ⋅ 3⁶ ⋅ 5³ ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17

Number of classes:

297

InfoText value:

origin: computed from generic table of symmetric groups (reordered), constructions: Aut(A17)

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:

AtlasGroup( "A17.2" ), AutomorphismGroup( AlternatingGroup( 17 ) ), PrimitiveGroup( 17, 10 ), PrimitiveGroup( 136, 12 ), PrimitiveGroup( 680, 2 ), PrimitiveGroup( 2380, 6 ), SymmetricGroup( 17 ), TransitiveGroup( 17, 10 )

Stored class fusions to this table:

2.A₁₇.2, A₁₇

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