Extensions 1→N→G→Q→1 with N=C3xQ8 and Q=C14

Direct product G=NxQ with N=C3xQ8 and Q=C14
dρLabelID
Q8xC42336Q8xC42336,206

Semidirect products G=N:Q with N=C3xQ8 and Q=C14
extensionφ:Q→Out NdρLabelID
(C3xQ8):1C14 = C7xQ8:2S3φ: C14/C7C2 ⊆ Out C3xQ81684(C3xQ8):1C14336,87
(C3xQ8):2C14 = S3xC7xQ8φ: C14/C7C2 ⊆ Out C3xQ81684(C3xQ8):2C14336,190
(C3xQ8):3C14 = C7xQ8:3S3φ: C14/C7C2 ⊆ Out C3xQ81684(C3xQ8):3C14336,191
(C3xQ8):4C14 = SD16xC21φ: C14/C7C2 ⊆ Out C3xQ81682(C3xQ8):4C14336,112
(C3xQ8):5C14 = C4oD4xC21φ: trivial image1682(C3xQ8):5C14336,207

Non-split extensions G=N.Q with N=C3xQ8 and Q=C14
extensionφ:Q→Out NdρLabelID
(C3xQ8).1C14 = C7xC3:Q16φ: C14/C7C2 ⊆ Out C3xQ83364(C3xQ8).1C14336,88
(C3xQ8).2C14 = Q16xC21φ: C14/C7C2 ⊆ Out C3xQ83362(C3xQ8).2C14336,113

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