Extensions 1→N→G→Q→1 with N=D4xC2xC6 and Q=C3

Direct product G=NxQ with N=D4xC2xC6 and Q=C3
dρLabelID
D4xC62144D4xC6^2288,1019

Semidirect products G=N:Q with N=D4xC2xC6 and Q=C3
extensionφ:Q→Out NdρLabelID
(D4xC2xC6):C3 = C3xD4xA4φ: C3/C1C3 ⊆ Out D4xC2xC6366(D4xC2xC6):C3288,980

Non-split extensions G=N.Q with N=D4xC2xC6 and Q=C3
extensionφ:Q→Out NdρLabelID
(D4xC2xC6).C3 = D4xC3.A4φ: C3/C1C3 ⊆ Out D4xC2xC6366(D4xC2xC6).C3288,344
(D4xC2xC6).2C3 = D4xC2xC18φ: trivial image144(D4xC2xC6).2C3288,368

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