Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2⁴:S₅

Name:

2^4:s5

Group order:

1920 = 2⁷ ⋅ 3 ⋅ 5

Number of classes:

12

InfoText value:

origin: CAS library, maximal subgroup of M22, test: 1.OR,JAMES,JAMES,n=3, and restricted characters decompose properly. tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasStabilizer( "M22", "M22G1-p231B0" ), AtlasSubgroup( "M22", 5 ), PrimitiveGroup( 16, 13 ), SmallGroup( 1920, 240993 ), TransitiveGroup( 16, 1329 ), TransitiveGroup( 20, 217 ), TransitiveGroup( 20, 221 ), TransitiveGroup( 30, 338 ), TransitiveGroup( 30, 340 ), TransitiveGroup( 30, 343 ), TransitiveGroup( 30, 347 )

Stored class fusions from this table:

S₅, L₃(4).2₂, M₂₂, 2⁵:S₅

Stored class fusions to this table:

2⁵:S₅, 2⁴:A₅, 2.(2⁵:S₅), S₅

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