Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2 × A₆

Name:

2xA6

Group order:

720 = 2⁴ ⋅ 3² ⋅ 5

Number of classes:

14

InfoText value:

3rd maximal subgroup of 2.L3(4)

Duplicates:

2.L3(4)M4, 2.L3(4)M5

Group constructions in GAP:

AtlasSubgroup( "2.L3(4)", 3 ), AtlasSubgroup( "2.L3(4)", 4 ), AtlasSubgroup( "2.L3(4)", 5 ), DirectProduct( "A6", "C2" ), SmallGroup( 720, 766 ), TransitiveGroup( 12, 180 ), TransitiveGroup( 20, 151 ), TransitiveGroup( 20, 152 ), TransitiveGroup( 30, 172 ), TransitiveGroup( 30, 179 )

Stored class fusions from this table:

2.L₃(4), 3⁴:(2 × A₆)

Stored class fusions to this table:

3⁴:(2 × A₆)

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