Extensions 1→N→G→Q→1 with N=C3 and Q=C3xS4

Direct product G=NxQ with N=C3 and Q=C3xS4
dρLabelID
C32xS436C3^2xS4216,163

Semidirect products G=N:Q with N=C3 and Q=C3xS4
extensionφ:Q→Aut NdρLabelID
C3:(C3xS4) = C3xC3:S4φ: C3xS4/C3xA4C2 ⊆ Aut C3246C3:(C3xS4)216,164

Non-split extensions G=N.Q with N=C3 and Q=C3xS4
extensionφ:Q→Aut NdρLabelID
C3.1(C3xS4) = C32.S4φ: C3xS4/C3xA4C2 ⊆ Aut C3186+C3.1(C3xS4)216,90
C3.2(C3xS4) = C3xC3.S4φ: C3xS4/C3xA4C2 ⊆ Aut C3366C3.2(C3xS4)216,91
C3.3(C3xS4) = C62:S3φ: C3xS4/C3xA4C2 ⊆ Aut C3186+C3.3(C3xS4)216,92
C3.4(C3xS4) = C9xS4central extension (φ=1)363C3.4(C3xS4)216,89

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