Extensions 1→N→G→Q→1 with N=Q8 and Q=C5:2C8

Direct product G=NxQ with N=Q8 and Q=C5:2C8
dρLabelID
Q8xC5:2C8320Q8xC5:2C8320,650

Semidirect products G=N:Q with N=Q8 and Q=C5:2C8
extensionφ:Q→Out NdρLabelID
Q8:(C5:2C8) = C20.26Q16φ: C5:2C8/C20C2 ⊆ Out Q8320Q8:(C5:2C8)320,93

Non-split extensions G=N.Q with N=Q8 and Q=C5:2C8
extensionφ:Q→Out NdρLabelID
Q8.(C5:2C8) = C40.92D4φ: C5:2C8/C20C2 ⊆ Out Q81604Q8.(C5:2C8)320,119
Q8.2(C5:2C8) = C40.70C23φ: trivial image1604Q8.2(C5:2C8)320,767

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