Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2 × M₁₂

Name:

2xm12

Group order:

190080 = 2⁷ ⋅ 3³ ⋅ 5 ⋅ 11

Number of classes:

30

InfoText value:

origin: CAS library, maximal subgroup of Co3, Restricted characters decompose properly. tests: 1.o.r., pow[2,3,5,11]

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
3	216	880	2 × M12N3	2xM12N3

Group constructions in GAP:

AtlasSubgroup( "2.Fi22", 14 ), AtlasSubgroup( "Co3", 11 ), DirectProduct( "C2", "M12" ), TransitiveGroup( 24, 18439 )

Stored class fusions from this table:

2.Fi₂₂, Co₃

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