Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 4³:S₄

Name:

4^3:S4

Group order:

1536 = 2⁹ ⋅ 3

Number of classes:

27

InfoText value:

origin: Dixon's Algorithm, normalizer of 4^3:2^2 in HS, table is sorted w.r.t. normal series 2^2.2.2^3.2^2.3.2

Group constructions in GAP:

TransitiveGroup( 24, 4551 ), TransitiveGroup( 24, 4568 ), TransitiveGroup( 24, 4569 ), TransitiveGroup( 24, 4576 ), TransitiveGroup( 24, 4579 ), TransitiveGroup( 24, 4580 ), TransitiveGroup( 24, 4597 ), TransitiveGroup( 24, 4598 )

Stored class fusions from this table:

4³:L₃(2), HS

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