Overview of the GAP Character Table Library (version 1.3.10)

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:

M12M7

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 20-May-2025.