Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 5³:(4 × S₅)

Name:

5^3:(4xS5)

Group order:

60000 = 2⁵ ⋅ 3 ⋅ 5⁴

Number of classes:

44

InfoText value:

origin: Dixon's Algorithm, 20th maximal subgroup of Co1, table is sorted w.r. to normal series 5^3.2.2.A5.2, tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasSubgroup( "Co1", 20 ), PrimitiveGroup( 125, 45 ), TransitiveGroup( 30, 1266 )

Stored class fusions from this table:

Co₁

Stored class fusions to this table:

5³:(4 × (2 × A₅).2)

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