Extensions 1→N→G→Q→1 with N=C3 and Q=C6×S4

Direct product G=N×Q with N=C3 and Q=C6×S4
dρLabelID
C3×C6×S454C3xC6xS4432,760

Semidirect products G=N:Q with N=C3 and Q=C6×S4
extensionφ:Q→Aut NdρLabelID
C31(C6×S4) = C3×S3×S4φ: C6×S4/C3×S4C2 ⊆ Aut C3246C3:1(C6xS4)432,745
C32(C6×S4) = C6×C3⋊S4φ: C6×S4/C6×A4C2 ⊆ Aut C3366C3:2(C6xS4)432,761

Non-split extensions G=N.Q with N=C3 and Q=C6×S4
extensionφ:Q→Aut NdρLabelID
C3.1(C6×S4) = C2×C32.S4φ: C6×S4/C6×A4C2 ⊆ Aut C3186+C3.1(C6xS4)432,533
C3.2(C6×S4) = C6×C3.S4φ: C6×S4/C6×A4C2 ⊆ Aut C3366C3.2(C6xS4)432,534
C3.3(C6×S4) = C2×C62⋊S3φ: C6×S4/C6×A4C2 ⊆ Aut C3186+C3.3(C6xS4)432,535
C3.4(C6×S4) = C18×S4central extension (φ=1)543C3.4(C6xS4)432,532

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