Extensions 1→N→G→Q→1 with N=C3 and Q=C2xS4

Direct product G=NxQ with N=C3 and Q=C2xS4
dρLabelID
C6xS4183C6xS4144,188

Semidirect products G=N:Q with N=C3 and Q=C2xS4
extensionφ:Q→Aut NdρLabelID
C3:1(C2xS4) = S3xS4φ: C2xS4/S4C2 ⊆ Aut C3126+C3:1(C2xS4)144,183
C3:2(C2xS4) = C2xC3:S4φ: C2xS4/C2xA4C2 ⊆ Aut C3186+C3:2(C2xS4)144,189

Non-split extensions G=N.Q with N=C3 and Q=C2xS4
extensionφ:Q→Aut NdρLabelID
C3.(C2xS4) = C2xC3.S4φ: C2xS4/C2xA4C2 ⊆ Aut C3186+C3.(C2xS4)144,109

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