Extensions 1→N→G→Q→1 with N=C2xA4 and Q=C6

Direct product G=NxQ with N=C2xA4 and Q=C6
dρLabelID
A4xC2xC636A4xC2xC6144,193

Semidirect products G=N:Q with N=C2xA4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2xA4):C6 = C6xS4φ: C6/C3C2 ⊆ Out C2xA4183(C2xA4):C6144,188

Non-split extensions G=N.Q with N=C2xA4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2xA4).C6 = C3xA4:C4φ: C6/C3C2 ⊆ Out C2xA4363(C2xA4).C6144,123
(C2xA4).2C6 = C12xA4φ: trivial image363(C2xA4).2C6144,155

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