Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S4(4).2M5

Name:

S4(4).2M5

Group order:

16320 = 2⁶ ⋅ 3 ⋅ 5 ⋅ 17

Number of classes:

17

InfoText value:

5th maximal subgroup of S4(4).2, differs from S4(4).2M4 = L2(16).4 only by fusion map

Main table:

L₂(16).4

Group constructions in GAP:

AtlasGroup( "L2(16).4" ), AtlasStabilizer( "J3.2", "J3d2G1-p6156B0" ), AtlasSubgroup( "J3.2", 2 ), AutomorphismGroup( AtlasGroup( "L2(16)" ) ), PGammaL( 2, 16 ), PSigmaL( 2, 16 ), PrimitiveGroup( 17, 8 ), PrimitiveGroup( 68, 3 ), PrimitiveGroup( 120, 5 ), PrimitiveGroup( 136, 5 ), SigmaL( 2, 16 ), TransitiveGroup( 17, 8 )

Stored class fusions from this table:

S₄(4).2

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