Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 3³:S₄

Name:

3^3:S4`

Group order:

648 = 2³ ⋅ 3⁴

Number of classes:

17

InfoText value:

origin: Dixon's Algorithm

Group constructions in GAP:

AtlasStabilizer( "U4(2)", "U42G1-p40bB0" ), PrimitiveGroup( 27, 5 ), SmallGroup( 648, 704 ), TransitiveGroup( 9, 29 ), TransitiveGroup( 12, 175 ), TransitiveGroup( 18, 219 ), TransitiveGroup( 18, 220 ), TransitiveGroup( 18, 223 ), TransitiveGroup( 18, 224 ), TransitiveGroup( 24, 1527 ), TransitiveGroup( 24, 1540 ), TransitiveGroup( 27, 214 ), TransitiveGroup( 27, 217 )

Stored class fusions from this table:

U₄(2), 3³:(S₄ × 2)

Stored class fusions to this table:

(2 × 3³).S₄

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