Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 5¹⁺²:GL₂(5)

Name:

5^(1+2):GL2(5)

Group order:

60000 = 2⁵ ⋅ 3 ⋅ 5⁴

Number of classes:

38

InfoText value:

origin: Dixon's Algorithm, 19th maximal subgroup of Co1, 5C normalizer in Co1, table is sorted w.r. to normal series 5.5^2.2.2.A5.2, tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasSubgroup( "Co1", 19 )

Stored class fusions from this table:

Co₁, gl₂₅

Stored class fusions to this table:

2 × 5¹⁺²:GL₂(5), Co₁N5

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