Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for s₄ ≀ s₂

Name:

s4wrs2

Group order:

1152 = 2⁷ ⋅ 3²

Number of classes:

20

InfoText value:

solvable subgroup of maximal order in M22.2, origin: CAS library, names:=s4wrs2 order: 2^7.3^2 = 1,152 number of classes: 20 source:saenger, f. einige charakterentafeln von symmetrien symmetrischer gruppen mitt.math.sem. giessen heft 98 [1973], 21 - 38 comments:wreath-product of s4 with s2 test: orth.1, minus, sym(3) tests: 1.o.r., pow[2,3]

Duplicates:

(S₄ × S₄):2

Group constructions in GAP:

PrimitiveGroup( 16, 10 ), SmallGroup( 1152, 157849 ), TransitiveGroup( 8, 47 ), TransitiveGroup( 12, 200 ), TransitiveGroup( 12, 201 ), TransitiveGroup( 12, 202 ), TransitiveGroup( 12, 203 ), TransitiveGroup( 16, 1292 ), TransitiveGroup( 16, 1294 ), TransitiveGroup( 16, 1295 ), TransitiveGroup( 16, 1296 ), TransitiveGroup( 18, 272 ), TransitiveGroup( 18, 273 ), TransitiveGroup( 18, 274 ), TransitiveGroup( 18, 275 ), TransitiveGroup( 24, 2803 ), TransitiveGroup( 24, 2804 ), TransitiveGroup( 24, 2805 ), TransitiveGroup( 24, 2806 ), TransitiveGroup( 24, 2807 ), TransitiveGroup( 24, 2808 ), TransitiveGroup( 24, 2809 ), TransitiveGroup( 24, 2810 ), TransitiveGroup( 24, 2821 ), TransitiveGroup( 24, 2826 )

Stored class fusions from this table:

M₂₂.2

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