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

Direct product G=N×Q with N=C3 and Q=C3×S4
dρLabelID
C32×S436C3^2xS4216,163

Semidirect products G=N:Q with N=C3 and Q=C3×S4
extensionφ:Q→Aut NdρLabelID
C3⋊(C3×S4) = C3×C3⋊S4φ: C3×S4/C3×A4C2 ⊆ Aut C3246C3:(C3xS4)216,164

Non-split extensions G=N.Q with N=C3 and Q=C3×S4
extensionφ:Q→Aut NdρLabelID
C3.1(C3×S4) = C32.S4φ: C3×S4/C3×A4C2 ⊆ Aut C3186+C3.1(C3xS4)216,90
C3.2(C3×S4) = C3×C3.S4φ: C3×S4/C3×A4C2 ⊆ Aut C3366C3.2(C3xS4)216,91
C3.3(C3×S4) = C62⋊S3φ: C3×S4/C3×A4C2 ⊆ Aut C3186+C3.3(C3xS4)216,92
C3.4(C3×S4) = C9×S4central extension (φ=1)363C3.4(C3xS4)216,89

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