Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A₁₄.2

Name:

A14.2

Group order:

87178291200 = 2¹¹ ⋅ 3⁵ ⋅ 5² ⋅ 7² ⋅ 11 ⋅ 13

Number of classes:

135

InfoText value:

origin: CAS library, names:= s14 order: 2^11.3^5.5^2.7^2.11.13 = 87178291200 number of classes: 135 source: kerber [bayreuth] comments: symmetric group test: orth, min tests: 1.o.r., pow[2,3,5,7,11,13], constructions: Aut(A14)

Some maximal subgroups:

	Order	Index	Structure	Name
1	43589145600	2	A14	A14
2	6227020800	14	A13.2	A13.2

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:

11 available

Group constructions in GAP:

AtlasGroup( "A14.2" ), AutomorphismGroup( AlternatingGroup( 14 ) ), PrimitiveGroup( 14, 4 ), PrimitiveGroup( 91, 6 ), PrimitiveGroup( 364, 7 ), PrimitiveGroup( 1001, 2 ), PrimitiveGroup( 1716, 4 ), PrimitiveGroup( 2002, 2 ), PrimitiveGroup( 3003, 2 ), SymmetricGroup( 14 ), TransitiveGroup( 14, 63 ), TransitiveGroup( 28, 1755 )

Stored class fusions from this table:

S₁₂(2)

Stored class fusions to this table:

2.A₁₄.2, A₁₃.2, A₁₄, Isoclinic(2.A₁₄.2)

File created automatically by GAP on 13-Mar-2024.