Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A₁₉

Name:

A19

Group order:

60822550204416000 = 2¹⁵ ⋅ 3⁸ ⋅ 5³ ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 19

Number of classes:

254

InfoText value:

computed using generic character table for alternating groups

Available Brauer tables:

p
2	dec. matrix (PDF)

Atlas representations:

6 available

Group constructions in GAP:

AlternatingGroup( 19 ), AtlasGroup( "A19" ), PrimitiveGroup( 19, 7 ), PrimitiveGroup( 171, 3 ), PrimitiveGroup( 969, 1 ), PrimitiveGroup( 3876, 1 ), TransitiveGroup( 19, 7 )

Stored class fusions from this table:

A₁₉.2

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