Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 3⁴:2³.S₄

Name:

3^4:2^3.S4

Group order:

15552 = 2⁶ ⋅ 3⁵

Number of classes:

30

InfoText value:

origin: Dixon's Algorithm

Group constructions in GAP:

PrimitiveGroup( 81, 73 ), TransitiveGroup( 12, 282 ), TransitiveGroup( 24, 12159 ), TransitiveGroup( 24, 12160 ), TransitiveGroup( 24, 12161 ), TransitiveGroup( 24, 12164 ), TransitiveGroup( 24, 12195 )

Stored class fusions from this table:

A₁₂

Stored class fusions to this table:

2.3⁴.2³.S₄

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