Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A6M2

Name:

A6M2

Group order:

60 = 2² ⋅ 3 ⋅ 5

Number of classes:

5

InfoText value:

2nd maximal subgroup of A6, differs from A6M1 only by fusion map

Main table:

A₅

Group constructions in GAP:

AlternatingGroup( 5 ), AtlasGroup( "A5" ), AtlasStabilizer( "A6", "A6G1-p6aB0" ), AtlasStabilizer( "A6", "A6G1-p6bB0" ), AtlasStabilizer( "L2(11)", "L211G1-p11aB0" ), AtlasStabilizer( "L2(11)", "L211G1-p11bB0" ), AtlasStabilizer( "L2(19)", "L219G1-p57aB0" ), AtlasStabilizer( "L2(19)", "L219G1-p57bB0" ), AtlasSubgroup( "A5.2", 1 ), AtlasSubgroup( "A6", 1 ), AtlasSubgroup( "A6", 2 ), AtlasSubgroup( "J2", 9 ), AtlasSubgroup( "L2(109)", 4 ), AtlasSubgroup( "L2(109)", 5 ), AtlasSubgroup( "L2(11)", 1 ), AtlasSubgroup( "L2(11)", 2 ), AtlasSubgroup( "S6(3)", 11 ), PSL( 2, 4 ), PSL( 2, 5 ), PerfectGroup( 60, 1 ), PrimitiveGroup( 5, 4 ), PrimitiveGroup( 6, 1 ), PrimitiveGroup( 10, 1 ), SmallGroup( 60, 5 ), TransitiveGroup( 5, 4 ), TransitiveGroup( 6, 12 ), TransitiveGroup( 10, 7 ), TransitiveGroup( 12, 33 ), TransitiveGroup( 15, 5 ), TransitiveGroup( 20, 15 ), TransitiveGroup( 30, 9 )

Stored class fusions from this table:

A₆

Stored class fusions to this table:

2.A₅, 3 × A₅, 3 × 2.A₅

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