Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for J3M3

Name:

J3M3

Group order:

3420 = 2² ⋅ 3² ⋅ 5 ⋅ 19

Number of classes:

12

InfoText value:

3rd maximal subgroup of J3, differs from J3M2 only by fusion map

Main table:

L₂(19)

Group constructions in GAP:

AtlasGroup( "L2(19)" ), AtlasStabilizer( "J3", "J3G1-p14688aB0" ), AtlasStabilizer( "J3", "J3G1-p14688bB0" ), AtlasSubgroup( "J3", 2 ), AtlasSubgroup( "J3", 3 ), POmega( 3, 19 ), PSL( 2, 19 ), PSU( 2, 19 ), PSp( 2, 19 ), PerfectGroup( 3420, 1 ), PrimitiveGroup( 20, 1 ), PrimitiveGroup( 57, 1 ), PrimitiveGroup( 171, 1 ), PrimitiveGroup( 190, 1 ), SmallGroup( 3420, 144 ), TransitiveGroup( 20, 272 )

Stored class fusions from this table:

J₃

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