Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A₁₅.2

Name:

A15.2

Group order:

1307674368000 = 2¹¹ ⋅ 3⁶ ⋅ 5³ ⋅ 7² ⋅ 11 ⋅ 13

Number of classes:

176

InfoText value:

origin: CAS library, names:= s15 order: 2^11.3^6.5^3.7^2.11.13 = 1307674368000 number of classes: 176 source: kerber [bayreuth] comments: symmetric group test: orth, min tests: 1.o.r., pow[2,3,5,7,11,13], constructions: Aut(A15)

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:

AtlasGroup( "A15.2" ), AutomorphismGroup( AlternatingGroup( 15 ) ), PrimitiveGroup( 15, 6 ), PrimitiveGroup( 105, 9 ), PrimitiveGroup( 455, 2 ), PrimitiveGroup( 1365, 6 ), PrimitiveGroup( 3003, 4 ), SymmetricGroup( 15 ), TransitiveGroup( 15, 104 ), TransitiveGroup( 30, 5467 )

Stored class fusions to this table:

2.A₁₅.2, A₁₅

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