Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2.L3(4)M8

Name:

2.L3(4)M8

Group order:

336 = 2⁴ ⋅ 3 ⋅ 7

Number of classes:

12

InfoText value:

8th maximal subgroup of 2.L3(4), differs from 2xL3(2) = 2.L3(4)M6 only by fusion map

Main table:

2 × L₃(2)

Group constructions in GAP:

AtlasSubgroup( "2.L3(4)", 6 ), AtlasSubgroup( "2.L3(4)", 7 ), AtlasSubgroup( "2.L3(4)", 8 ), DirectProduct( "L3(2)", "C2" ), SmallGroup( 336, 209 ), TransitiveGroup( 14, 17 ), TransitiveGroup( 14, 19 ), TransitiveGroup( 16, 714 ), TransitiveGroup( 28, 43 )

Stored class fusions from this table:

2.L₃(4), L₃(2)

Stored class fusions to this table:

6 × L₃(2)

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