Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A₁₅

Name:

A15

Group order:

653837184000 = 2¹⁰ ⋅ 3⁶ ⋅ 5³ ⋅ 7² ⋅ 11 ⋅ 13

Number of classes:

94

InfoText value:

origin: CAS library, names:= a15 order: 2^10.3^6.5^3.7^2.11.13 = 653837184000 number of classes: 94 source: stockhofe [aachen] from table of s15 (kerber,bayreuth) comments: alternating group test: orth, min tests: 1.o.r., pow[2,3,5,7,11,13]

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)

Atlas representations:

9 available

Group constructions in GAP:

AlternatingGroup( 15 ), AtlasGroup( "A15" ), PrimitiveGroup( 15, 5 ), PrimitiveGroup( 105, 8 ), PrimitiveGroup( 455, 1 ), PrimitiveGroup( 1365, 5 ), PrimitiveGroup( 3003, 3 ), TransitiveGroup( 15, 103 )

Stored class fusions from this table:

A₁₅.2

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