Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2⁴:S₆

Name:

M22.2M3

Group order:

11520 = 2⁸ ⋅ 3² ⋅ 5

Number of classes:

21

InfoText value:

origin: Dixon's Algorithm, 3rd maximal subgroup of M22.2, of structure 2^4.S6, table is sorted w.r. to normal series 2^4.A_6.2,

Group constructions in GAP:

AtlasStabilizer( "M22.2", "M22d2G1-p77B0" ), AtlasSubgroup( "M22.2", 3 ), PrimitiveGroup( 16, 16 ), TransitiveGroup( 16, 1753 ), TransitiveGroup( 30, 739 ), TransitiveGroup( 30, 754 ), TransitiveGroup( 30, 760 ), TransitiveGroup( 30, 762 )

Stored class fusions from this table:

S₆, M₂₂.2, U₄(3).2₂

Stored class fusions to this table:

2⁴:A₆

File created automatically by GAP on 6-May-2025.