Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A₆.2²

Name:

U4(3).2_3M10

Group order:

1440 = 2⁵ ⋅ 3² ⋅ 5

Number of classes:

13

InfoText value:

Main table:

A₆.2²

Group constructions in GAP:

AtlasGroup( "A6.2^2" ), AtlasStabilizer( "2F4(2)'", "TF42G1-p12480B0" ), AtlasStabilizer( "M12", "M12G1-p66aB0" ), AtlasStabilizer( "M12", "M12G1-p66bB0" ), AtlasStabilizer( "M22.2", "M22d2G1-p616B0" ), AtlasStabilizer( "U3(5).2", "U35d2G1-p175B0" ), AtlasSubgroup( "2F4(2)'", 6 ), AtlasSubgroup( "2F4(2)'", 7 ), AtlasSubgroup( "M12", 3 ), AtlasSubgroup( "M12", 4 ), AtlasSubgroup( "M22.2", 6 ), AtlasSubgroup( "Ru", 14 ), AtlasSubgroup( "U3(5).2", 4 ), AutomorphismGroup( AlternatingGroup( 6 ) ), PGammaL( 2, 9 ), PrimitiveGroup( 10, 7 ), PrimitiveGroup( 36, 5 ), PrimitiveGroup( 45, 3 ), SmallGroup( 1440, 5841 ), TransitiveGroup( 10, 35 ), TransitiveGroup( 12, 220 ), TransitiveGroup( 20, 201 ), TransitiveGroup( 20, 204 ), TransitiveGroup( 20, 208 ), TransitiveGroup( 24, 2960 ), TransitiveGroup( 30, 264 )

Stored class fusions from this table:

U₄(3).2₃

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