Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 4²:S₃

Name:

4^2:s3

Group order:

96 = 2⁵ ⋅ 3

Number of classes:

10

InfoText value:

origin: CAS library, maximal subgroup of U3(3), test:= 1. o.r., sym 2 decompose correctly tests: 1.o.r., pow[2,3]

Group constructions in GAP:

AtlasStabilizer( "U3(3)", "U33G1-p63bB0" ), AtlasSubgroup( "U3(3)", 4 ), SmallGroup( 96, 64 ), TransitiveGroup( 12, 62 ), TransitiveGroup( 12, 63 ), TransitiveGroup( 12, 64 ), TransitiveGroup( 12, 65 ), TransitiveGroup( 16, 195 ), TransitiveGroup( 24, 191 ), TransitiveGroup( 24, 192 ), TransitiveGroup( 24, 193 ), TransitiveGroup( 24, 194 )

Stored class fusions from this table:

4²:D₁₂, L₃(5), U₃(3)

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