Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L3(7)M5

Name:

L3(7)M5

Group order:

336 = 2⁴ ⋅ 3 ⋅ 7

Number of classes:

9

InfoText value:

5th maximal subgroup of L3(7), differs from L3(7)M3 = L3(2).2 only by fusion map

Main table:

L₃(2).2

Group constructions in GAP:

AtlasGroup( "L3(2).2" ), AtlasStabilizer( "J2", "J2G1-p1800B0" ), AtlasStabilizer( "L3(8).2", "L38d2G1-p98112B0" ), AtlasStabilizer( "U3(5).2", "U35d2G1-p750B0" ), AtlasStabilizer( "U3(7)", "U37G1-p16856B0" ), AtlasSubgroup( "J2", 7 ), AtlasSubgroup( "ON.2", 10 ), AtlasSubgroup( "U3(5).2", 6 ), AtlasSubgroup( "U3(7)", 4 ), AutomorphismGroup( AtlasGroup( "L3(2)" ) ), PrimitiveGroup( 8, 5 ), PrimitiveGroup( 21, 1 ), PrimitiveGroup( 28, 1 ), SmallGroup( 336, 208 ), TransitiveGroup( 8, 43 ), TransitiveGroup( 14, 16 ), TransitiveGroup( 16, 713 ), TransitiveGroup( 21, 20 ), TransitiveGroup( 24, 707 ), TransitiveGroup( 28, 42 ), TransitiveGroup( 28, 46 )

Stored class fusions from this table:

L₃(7)

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