Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2.M22M2

Name:

2.M22M2

Group order:

11520 = 2⁸ ⋅ 3² ⋅ 5

Number of classes:

23

InfoText value:

2nd maximal subgroup of 2.M22, constructed by Stefan Irnich using GAP

Main table:

2⁵:A₆

Group constructions in GAP:

AtlasSubgroup( "2.M22", 2 ), PerfectGroup( 11520, 1 ), TransitiveGroup( 12, 277 ), TransitiveGroup( 20, 452 )

Stored class fusions from this table:

2.M₂₂, 2⁴:A₆, A₆

Stored class fusions to this table:

2.2⁵:A₆, 2⁵:3A₆, 2.2⁵:3A₆

File created automatically by GAP on 20-May-2025.