Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L2(121)M3

Name:

L2(121)M3

Group order:

1320 = 2³ ⋅ 3 ⋅ 5 ⋅ 11

Number of classes:

13

InfoText value:

3rd maximal subgroup of L2(121), differs from L2(121)M2 only by fusion map

Main table:

L₂(11).2

Group constructions in GAP:

AtlasGroup( "L2(11).2" ), AtlasStabilizer( "M12.2", "M12d2G1-p144aB0" ), AtlasStabilizer( "M12.2", "M12d2G1-p144bB0" ), AtlasStabilizer( "M22.2", "M22d2G1-p672B0" ), AtlasStabilizer( "U5(2).2", "U52d2G1-p20736B0" ), AtlasSubgroup( "M12.2", 2 ), AtlasSubgroup( "M12.2", 3 ), AtlasSubgroup( "M22.2", 7 ), AtlasSubgroup( "U5(2).2", 7 ), AutomorphismGroup( AtlasGroup( "L2(11)" ) ), PrimitiveGroup( 12, 4 ), PrimitiveGroup( 55, 2 ), PrimitiveGroup( 55, 3 ), PrimitiveGroup( 66, 1 ), SmallGroup( 1320, 133 ), TransitiveGroup( 12, 218 ), TransitiveGroup( 22, 14 ), TransitiveGroup( 24, 2949 )

Stored class fusions from this table:

L₂(121)

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