Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for (S₅ × S₅):2

Name:

s5wrs2

Group order:

28800 = 2⁷ ⋅ 3² ⋅ 5²

Number of classes:

35

InfoText value:

origin: CAS library, names:=s5wrs2; order: 2^7.3^2.5^2 = 28,800 number of classes: 35 source:saenger, f einige charakterentafeln von symmetrien symmetrischer gruppen mitt.math.sem. giessen heft 98 [1973], 21 - 38 comments:wreath-product of s5 with s2 test: orth.1, minus, sym(3) tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasSubgroup( "He.2", 7 ), PrimitiveGroup( 25, 26 ), PrimitiveGroup( 36, 20 ), PrimitiveGroup( 100, 8 ), TransitiveGroup( 10, 43 ), TransitiveGroup( 12, 288 ), TransitiveGroup( 20, 539 ), TransitiveGroup( 20, 540 ), TransitiveGroup( 20, 542 ), TransitiveGroup( 20, 544 ), TransitiveGroup( 24, 13996 ), TransitiveGroup( 24, 13997 ), TransitiveGroup( 24, 13998 ), TransitiveGroup( 25, 106 ), TransitiveGroup( 30, 1011 )

Stored class fusions from this table:

S₁₀, He.2

Stored class fusions to this table:

(A₅ × A₅):2², (A₇ × (A₅ × A₅):2²):2

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