Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2³.L₃(2)

Name:

2^3.L3(2)

Group order:

1344 = 2⁶ ⋅ 3 ⋅ 7

Number of classes:

11

InfoText value:

nonsplit extension of 2^3 with L3(2), maximal subgroup of G2(3), constructed as factor of the subgroup 4^3.L3(2) of ON

Group constructions in GAP:

AtlasSubgroup( "G2(3)", 8 ), AtlasSubgroup( "G2(5)", 7 ), PerfectGroup( 1344, 2 ), SmallGroup( 1344, 814 ), TransitiveGroup( 14, 33 ), TransitiveGroup( 28, 152 ), TransitiveGroup( 28, 158 )

Stored class fusions from this table:

2³.L₃(2):2, G₂(3), G₂(5), L₃(2), Ly

Stored class fusions to this table:

4³.L₃(2)

File created automatically by GAP on 13-Mar-2024.