Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S₄(7).2

Name:

S4(7).2

Group order:

276595200 = 2⁹ ⋅ 3² ⋅ 5² ⋅ 7⁴

Number of classes:

77

InfoText value:

origin: Dixon's Algorithm, constructions: Aut(S4(7))

Atlas representations:

3 available

Group constructions in GAP:

AtlasGroup( "S4(7).2" ), AutomorphismGroup( AtlasGroup( "S4(7)" ) ), PrimitiveGroup( 400, 2 ), PrimitiveGroup( 400, 4 ), PrimitiveGroup( 1176, 7 ), PrimitiveGroup( 1225, 19 )

Stored class fusions to this table:

S₄(7)

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