Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 7²:(3 × 2S₄)

Name:

7^2:(3x2S4)

Group order:

7056 = 2⁴ ⋅ 3² ⋅ 7²

Number of classes:

27

InfoText value:

origin: Dixon's Algorithm, 11th maximal subgroup of Th, table is sorted w.r. to normal series 7^2.3.2.2^2.3.2, tests: 1.o.r., pow[2,3,5,7]

Group constructions in GAP:

AtlasSubgroup( "Th", 11 ), PrimitiveGroup( 49, 29 )

Stored class fusions from this table:

F₄(2).2, Th

Stored class fusions to this table:

7²:(3 × 2A₄), (7²:(3 × 2A₄) × L₂(7)).2, BN7

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