Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S4(4)M4

Name:

S4(4)M4

Group order:

8160 = 2⁵ ⋅ 3 ⋅ 5 ⋅ 17

Number of classes:

16

InfoText value:

4th maximal subgroup of S4(4), differs from S4(4)M3 = L2(16).2 only by fusion map

Main table:

L₂(16).2

Group constructions in GAP:

AtlasGroup( "L2(16).2" ), AtlasStabilizer( "J3", "J3G1-p6156B0" ), AtlasStabilizer( "O8-(2)", "O8m2G1-p24192B0" ), AtlasStabilizer( "S4(4)", "S44G1-p120bB0" ), AtlasSubgroup( "J3", 1 ), AtlasSubgroup( "S4(4)", 3 ), AtlasSubgroup( "S4(4)", 4 ), PrimitiveGroup( 17, 7 ), PrimitiveGroup( 68, 2 ), PrimitiveGroup( 120, 4 ), PrimitiveGroup( 136, 4 ), TransitiveGroup( 17, 7 )

Stored class fusions from this table:

S₄(4)

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