Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 5²:4S₅

Name:

5^2:4s5

Group order:

12000 = 2⁵ ⋅ 3 ⋅ 5³

Number of classes:

29

InfoText value:

origin: CAS library, maximal subgroup of Ru, source: received from S.Mattarei test: 1.OR, JAMES, JAMES,n=3, JAMES,n=5, and restricted characters decompose properly. constructions: AGL(2,5), tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AGL( 2, 5 ), AtlasStabilizer( "L3(5)", "L35G1-p31aB0" ), AtlasStabilizer( "L3(5)", "L35G1-p31bB0" ), AtlasSubgroup( "Ru", 10 ), AtlasSubgroup( "Th", 10 ), PrimitiveGroup( 25, 22 ), TransitiveGroup( 25, 90 ), TransitiveGroup( 30, 795 )

Stored class fusions from this table:

L₃(5), Ru, Th, gl₂₅

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