Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₄(7)

Name:

S4(7)

Group order:

138297600 = 2⁸ ⋅ 3² ⋅ 5² ⋅ 7⁴

Number of classes:

52

InfoText value:

origin: computed using Dixon's algorithm and character theoretic methods, Thomas Breuer, Jan. 09th, 2001

Atlas representations:

11 available

Group constructions in GAP:

AtlasGroup( "S4(7)" ), POmega( 5, 7 ), PSp( 4, 7 ), PrimitiveGroup( 400, 1 ), PrimitiveGroup( 400, 3 ), PrimitiveGroup( 1176, 6 ), PrimitiveGroup( 1225, 18 )

Stored class fusions from this table:

S₄(7).2

Stored class fusions to this table:

7¹⁺².Sp(2, 7)

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