Extensions 1→N→G→Q→1 with N=Q8 and Q=C2xC7:C3

Direct product G=NxQ with N=Q8 and Q=C2xC7:C3
dρLabelID
C2xQ8xC7:C3112C2xQ8xC7:C3336,166

Semidirect products G=N:Q with N=Q8 and Q=C2xC7:C3
extensionφ:Q→Out NdρLabelID
Q8:(C2xC7:C3) = C2xC14.A4φ: C2xC7:C3/C14C3 ⊆ Out Q8112Q8:(C2xC7:C3)336,172
Q8:2(C2xC7:C3) = SD16xC7:C3φ: C2xC7:C3/C7:C3C2 ⊆ Out Q8566Q8:2(C2xC7:C3)336,54
Q8:3(C2xC7:C3) = C4oD4xC7:C3φ: trivial image566Q8:3(C2xC7:C3)336,167

Non-split extensions G=N.Q with N=Q8 and Q=C2xC7:C3
extensionφ:Q→Out NdρLabelID
Q8.(C2xC7:C3) = C28.A4φ: C2xC7:C3/C14C3 ⊆ Out Q81126Q8.(C2xC7:C3)336,173
Q8.2(C2xC7:C3) = Q16xC7:C3φ: C2xC7:C3/C7:C3C2 ⊆ Out Q81126Q8.2(C2xC7:C3)336,55

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