Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A₁₉.2

Name:

A19.2

Group order:

121645100408832000 = 2¹⁶ ⋅ 3⁸ ⋅ 5³ ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 19

Number of classes:

490

InfoText value:

origin: computed from generic table of symmetric groups (reordered), constructions: Aut(A19)

Available Brauer tables:

p
2	dec. matrix (PDF)

Atlas representations:

6 available

Group constructions in GAP:

AtlasGroup( "A19.2" ), AutomorphismGroup( AlternatingGroup( 19 ) ), PrimitiveGroup( 19, 8 ), PrimitiveGroup( 171, 4 ), PrimitiveGroup( 969, 2 ), PrimitiveGroup( 3876, 2 ), SymmetricGroup( 19 ), TransitiveGroup( 19, 8 )

Stored class fusions to this table:

A₁₉

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