Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 3³:(S₄ × 2)

Name:

s3wrs3

Group order:

1296 = 2⁴ ⋅ 3⁴

Number of classes:

22

InfoText value:

origin: CAS library, names:=s3wrs3 order: 2^4.3^4 = 1,296 number of classes: 22 source:generated by dixon-algorithm aachen [1980] comments:wreath-product of s3 with s3, degree: 9 generators: a = (1,2,3); b = (1,2); c = (1,4,7)(2,5,8)(3,6,9); d = (1,4)(2,5)(3,6) test: orth.1, minus,sym(3) tests: 1.o.r., pow[2,3]

Group constructions in GAP:

AtlasStabilizer( "U4(2).2", "U42d2G1-p40bB0" ), AtlasSubgroup( "U4(2).2", 5 ), PrimitiveGroup( 27, 8 ), SmallGroup( 1296, 3490 ), TransitiveGroup( 9, 31 ), TransitiveGroup( 12, 213 ), TransitiveGroup( 18, 300 ), TransitiveGroup( 18, 303 ), TransitiveGroup( 18, 311 ), TransitiveGroup( 18, 312 ), TransitiveGroup( 18, 314 ), TransitiveGroup( 18, 315 ), TransitiveGroup( 18, 319 ), TransitiveGroup( 18, 320 ), TransitiveGroup( 24, 2893 ), TransitiveGroup( 24, 2894 ), TransitiveGroup( 24, 2895 ), TransitiveGroup( 24, 2912 ), TransitiveGroup( 27, 296 ), TransitiveGroup( 27, 298 )

Stored class fusions from this table:

S₉, S₆(2), U₄(2).2

Stored class fusions to this table:

2.(3³:(S₄ × 2)), 3³:S₄

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