Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3⁴:S₆

Name:

3^4:S6

Group order:

58320 = 2⁴ ⋅ 3⁶ ⋅ 5

Number of classes:

33

InfoText value:

origin: Dixon's Algorithm

Group constructions in GAP:

PrimitiveGroup( 81, 135 ), TransitiveGroup( 30, 1248 )

Stored class fusions from this table:

S₆, U₄(3).2₂, U₆(2)

Stored class fusions to this table:

3⁴:A₆

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