Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3².2.S₄

Name:

3^2.2.S4

Group order:

432 = 2⁴ ⋅ 3³

Number of classes:

11

InfoText value:

origin: CAS library, tests: 1.o.r., pow[2,3], constructions: AGL(2,3)

Duplicates:

3².2.S₄

Group constructions in GAP:

AGL( 2, 3 ), AtlasStabilizer( "L3(3)", "L33G1-p13aB0" ), AtlasStabilizer( "L3(3)", "L33G1-p13bB0" ), AtlasStabilizer( "M12", "M12G1-p220aB0" ), AtlasStabilizer( "M12", "M12G1-p220bB0" ), AtlasSubgroup( "M12", 6 ), AtlasSubgroup( "M12", 7 ), PrimitiveGroup( 9, 7 ), SmallGroup( 432, 734 ), TransitiveGroup( 9, 26 ), TransitiveGroup( 12, 157 ), TransitiveGroup( 18, 157 ), TransitiveGroup( 24, 1325 ), TransitiveGroup( 24, 1326 ), TransitiveGroup( 24, 1327 ), TransitiveGroup( 24, 1334 ), TransitiveGroup( 27, 139 )

Stored class fusions from this table:

²F₄(2)', S₉, L₃(3), M₁₂, M₁₂.2, M₂₄, Ru, U₃(5).3.2

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