Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A₆.2₂

Name:

A6.2_2

Group order:

720 = 2⁴ ⋅ 3² ⋅ 5

Number of classes:

11

InfoText value:

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

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)

Atlas representations:

1 available

Group constructions in GAP:

AtlasGroup( "A6.2_2" ), AtlasSubgroup( "ON.2", 9 ), PGL( 2, 9 ), PGU( 2, 9 ), PrimitiveGroup( 10, 4 ), PrimitiveGroup( 36, 4 ), PrimitiveGroup( 45, 1 ), SmallGroup( 720, 764 ), TransitiveGroup( 10, 30 ), TransitiveGroup( 12, 182 ), TransitiveGroup( 20, 146 ), TransitiveGroup( 30, 171 )

Stored class fusions from this table:

A₆.2², L₃(4).2₃, L₃(9), L₄(3), ON.2, U₃(9)

Stored class fusions to this table:

2.A₆.2₂, 3.A₆.2₂, 6.A₆.2₂, A₆, D₁₆, D₂₀, Isoclinic(2.A₆.2₂), (3 × A₆):2₂

File created automatically by GAP on 6-May-2025.