Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₄ × 2

Name:

s2wrs3

Group order:

48 = 2⁴ ⋅ 3

Number of classes:

10

InfoText value:

origin: CAS library, names:=s2wrs3 order: 2^4.3 = 48 number of classes: 10 source:saenger, f. einige charakterentafeln von symmetrien symmetrischer gruppen mitt.math.sem. giessen heft 98 [1973], 21 - 38 comments:wreath-product of s2 with s3 test: orth.1, minus, sym(3) tests: 1.o.r., pow[2,3]

Main table:

2 × S₄

Group constructions in GAP:

AtlasStabilizer( "A6.2_1", "S6G1-p15aB0" ), AtlasStabilizer( "A6.2_1", "S6G1-p15bB0" ), AtlasStabilizer( "L3(3).2", "L33d2G1-p234B0" ), AtlasSubgroup( "A6.2_1", 5 ), AtlasSubgroup( "A6.2_1", 6 ), SmallGroup( 48, 48 ), TransitiveGroup( 6, 11 ), TransitiveGroup( 8, 24 ), TransitiveGroup( 12, 21 ), TransitiveGroup( 12, 22 ), TransitiveGroup( 12, 23 ), TransitiveGroup( 12, 24 ), TransitiveGroup( 16, 61 ), TransitiveGroup( 24, 46 ), TransitiveGroup( 24, 47 ), TransitiveGroup( 24, 48 )

Stored class fusions from this table:

S₆

Stored class fusions to this table:

S₄

File created automatically by GAP on 13-Mar-2024.