Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2⁶:3³:S₄

Name:

2^6:3^3:S4

Group order:

41472 = 2⁹ ⋅ 3⁴

Number of classes:

40

InfoText value:

origin: Dixon's Algorithm

Group constructions in GAP:

PrimitiveGroup( 64, 36 ), TransitiveGroup( 12, 290 ), TransitiveGroup( 18, 712 ), TransitiveGroup( 18, 716 ), TransitiveGroup( 18, 718 ), TransitiveGroup( 18, 720 ), TransitiveGroup( 24, 14593 ), TransitiveGroup( 24, 14594 ), TransitiveGroup( 24, 14595 )

Stored class fusions from this table:

A₁₂

Stored class fusions to this table:

2¹⁺⁶₋.3³.S₄

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