Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A₁₈.2

Name:

A18.2

Group order:

6402373705728000 = 2¹⁶ ⋅ 3⁸ ⋅ 5³ ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17

Number of classes:

385

InfoText value:

origin: computed from generic table of symmetric groups (reordered), constructions: Aut(A18)

Atlas representations:

7 available

Group constructions in GAP:

AtlasGroup( "A18.2" ), AutomorphismGroup( AlternatingGroup( 18 ) ), PrimitiveGroup( 18, 4 ), PrimitiveGroup( 153, 4 ), PrimitiveGroup( 816, 2 ), PrimitiveGroup( 3060, 2 ), SymmetricGroup( 18 ), TransitiveGroup( 18, 983 )

Stored class fusions to this table:

2.A₁₈.2, A₁₈

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