Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 3 × L₃(2)

Name:

3xL3(2)

Group order:

504 = 2³ ⋅ 3² ⋅ 7

Number of classes:

18

InfoText value:

2nd and 3rd maximal subgroup of 3.A7

Duplicates:

3.L3(4)M7, 3.L3(4)M8

Group constructions in GAP:

AtlasSubgroup( "3.A7", 2 ), AtlasSubgroup( "3.L3(4)", 6 ), AtlasSubgroup( "3.L3(4)", 7 ), AtlasSubgroup( "3.L3(4)", 8 ), DirectProduct( "L3(2)", "C3" ), SmallGroup( 504, 157 ), TransitiveGroup( 21, 22 ), TransitiveGroup( 24, 1355 ), TransitiveGroup( 24, 1356 )

Stored class fusions from this table:

3.A₇, 3.L₃(4)

Stored class fusions to this table:

2³⁺⁶:(L₃(2) × 3), 3 × 2.L₃(2), 6 × L₃(2)

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