Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A₁₆.2

Name:

A16.2

Group order:

20922789888000 = 2¹⁵ ⋅ 3⁶ ⋅ 5³ ⋅ 7² ⋅ 11 ⋅ 13

Number of classes:

231

InfoText value:

origin: CAS library, names:= s16 order: 2^15.3^6.5^3.7^2.11.13 = 20922789888000 number of classes: 231 source: kerber [bayreuth] comments: symmetric group test: orth, min tests: 1.o.r., pow[2,3,5,7,11,13], constructions: Aut(A16)

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( "A16.2" ), AutomorphismGroup( AlternatingGroup( 16 ) ), PrimitiveGroup( 16, 22 ), PrimitiveGroup( 120, 21 ), PrimitiveGroup( 560, 4 ), PrimitiveGroup( 1820, 2 ), SymmetricGroup( 16 ), TransitiveGroup( 16, 1954 )

Stored class fusions to this table:

2.A₁₆.2, A₁₆

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