Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for (A₅ × A₅):2²

Name:

(A5xA5):2^2

Group order:

14400 = 2⁶ ⋅ 3² ⋅ 5²

Number of classes:

25

InfoText value:

origin: Dixon's Algorithm

Duplicates:

(A₅ × A₅):2², (A₅ × A₅):2², (A₅ × A₅):2²

Group constructions in GAP:

PrimitiveGroup( 25, 24 ), PrimitiveGroup( 36, 18 ), PrimitiveGroup( 60, 5 ), PrimitiveGroup( 100, 6 ), TransitiveGroup( 10, 41 ), TransitiveGroup( 12, 279 ), TransitiveGroup( 20, 456 ), TransitiveGroup( 20, 459 ), TransitiveGroup( 24, 12117 ), TransitiveGroup( 25, 101 ), TransitiveGroup( 30, 819 )

Stored class fusions from this table:

O₈⁺(2), S₄(4).2, (S₅ × S₅):2

Stored class fusions to this table:

(2 × 2.(A₅ × A₅)):2², (A₅ × A₅).(2 × 4)

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