Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₄(9).2²

Name:

S4(9).2^2

Group order:

6886425600 = 2¹⁰ ⋅ 3⁸ ⋅ 5² ⋅ 41

Number of classes:

95

InfoText value:

constructed using `PossibleCharacterTablesOfTypeGV4', ambiguity resolved using that the action on the classes of element order 80 of S4(9).2_2 is given by the power map *3, constructions: Aut(S4(9))

Group constructions in GAP:

AutomorphismGroup( AtlasGroup( "S4(9)" ) ), PrimitiveGroup( 820, 7 ), PrimitiveGroup( 820, 24 ), PrimitiveGroup( 3240, 13 ), PrimitiveGroup( 3321, 13 )

Stored class fusions to this table:

S₄(9).2₁, S₄(9).2₂, S₄(9).2₃

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