Extensions 1→N→G→Q→1 with N=D4 and Q=C12

Direct product G=NxQ with N=D4 and Q=C12
dρLabelID
D4xC1248D4xC1296,165

Semidirect products G=N:Q with N=D4 and Q=C12
extensionφ:Q→Out NdρLabelID
D4:1C12 = C3xD4:C4φ: C12/C6C2 ⊆ Out D448D4:1C1296,52
D4:2C12 = C3xC4wrC2φ: C12/C6C2 ⊆ Out D4242D4:2C1296,54

Non-split extensions G=N.Q with N=D4 and Q=C12
extensionφ:Q→Out NdρLabelID
D4.C12 = C3xC8oD4φ: trivial image482D4.C1296,178

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