Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3⁵:(2 × M₁₁)

Name:

3^5:(2xm11)

Group order:

3849120 = 2⁵ ⋅ 3⁷ ⋅ 5 ⋅ 11

Number of classes:

37

InfoText value:

origin: CAS library, maximal subgroup of Co3, Test: 1.OR, JAMES, JAMES,n=3, and restricted characters decompose properly. tests: 1.o.r., pow[2,3,5,11]

Group constructions in GAP:

AtlasStabilizer( "Co3", "Co3G1-p128800B0" ), AtlasSubgroup( "Co3", 5 ), PrimitiveGroup( 243, 31 )

Stored class fusions from this table:

2 × M₁₁, Co₃

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