Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A₁₆

Name:

A16

Group order:

10461394944000 = 2¹⁴ ⋅ 3⁶ ⋅ 5³ ⋅ 7² ⋅ 11 ⋅ 13

Number of classes:

123

InfoText value:

origin: CAS library, names:= a16 order: 2^14.3^6.5^3.7^2.11.13 = 10461394944000 number of classes: 123 source: stockhofe [aachen] from table of s16 (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( 16 ), AtlasGroup( "A16" ), PrimitiveGroup( 16, 21 ), PrimitiveGroup( 120, 20 ), PrimitiveGroup( 560, 3 ), PrimitiveGroup( 1820, 1 ), TransitiveGroup( 16, 1953 )

Stored class fusions from this table:

A₁₆.2

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