Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₅

Name:

A6.2_1M3

Group order:

120 = 2³ ⋅ 3 ⋅ 5

Number of classes:

7

InfoText value:

3rd maximal subgroup of A6.2_1, differs from A6.2_1M2 only by fusion map

Main table:

S₅

Group constructions in GAP:

AtlasGroup( "A5.2" ), AtlasStabilizer( "A6.2_1", "S6G1-p6aB0" ), AtlasStabilizer( "A6.2_1", "S6G1-p6bB0" ), AtlasStabilizer( "M11", "M11G1-p66B0" ), AtlasSubgroup( "A6.2_1", 2 ), AtlasSubgroup( "A6.2_1", 3 ), AtlasSubgroup( "J2.2", 10 ), AtlasSubgroup( "M11", 4 ), AtlasSubgroup( "M12.2", 9 ), AtlasSubgroup( "Th", 16 ), AutomorphismGroup( AlternatingGroup( 5 ) ), PrimitiveGroup( 5, 5 ), PrimitiveGroup( 6, 2 ), PrimitiveGroup( 10, 2 ), SmallGroup( 120, 34 ), SymmetricGroup( 5 ), TransitiveGroup( 5, 5 ), TransitiveGroup( 6, 14 ), TransitiveGroup( 10, 12 ), TransitiveGroup( 10, 13 ), TransitiveGroup( 12, 74 ), TransitiveGroup( 15, 10 ), TransitiveGroup( 20, 30 ), TransitiveGroup( 20, 32 ), TransitiveGroup( 20, 35 ), TransitiveGroup( 24, 202 ), TransitiveGroup( 30, 22 ), TransitiveGroup( 30, 25 ), TransitiveGroup( 30, 27 )

Stored class fusions from this table:

S₆

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