Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for (A₆ × A₆):2²

Name:

(A6xA6):2^2

Group order:

518400 = 2⁸ ⋅ 3⁴ ⋅ 5²

Number of classes:

49

InfoText value:

origin: Dixon's Algorithm, 24th maximal subgroup of O8+(3), 4th maximal subgroup of A12, is of index 2 in 8th maximal subgroup of HN

Duplicates:

O8+(3)M25, O8+(3)M26

Group constructions in GAP:

AtlasStabilizer( "A12", "A12G1-p462B0" ), AtlasSubgroup( "A12", 4 ), PrimitiveGroup( 36, 14 ), PrimitiveGroup( 100, 19 ), PrimitiveGroup( 225, 3 ), PrimitiveGroup( 360, 11 ), PrimitiveGroup( 360, 14 ), TransitiveGroup( 12, 297 ), TransitiveGroup( 20, 934 ), TransitiveGroup( 24, 20411 ), TransitiveGroup( 30, 1851 )

Stored class fusions from this table:

(A₆ × A₆).D₈, A₁₂, HN, O₈⁺(3)

Stored class fusions to this table:

2.(A₆ × A₆).2²

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