Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A₆.2²

Name:

A6.2^2

Group order:

1440 = 2⁵ ⋅ 3² ⋅ 5

Number of classes:

13

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5], constructions: Aut(A6), PGammaL(2,9)

Duplicates:

A₆.2², A₆.2², A₆.2²

Atlas representations:

1 available

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:

²F₄(2)', S₁₀, L₃(4).2², M₁₂, M₂₂.2, Ru, U₃(5).2, U₄(3).2₁, U₄(3).2₃

Stored class fusions to this table:

2 × A₆.2², 3.A₆.2², 3²:Q₈.2, (3 × M₁₀):2, (4 × A₆).2², (A₆:2₂ × A₅).2, (S₆ × L₃(4).2).2, S₆, A₆.2₂, A₆.2₃, A₆.D₈

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