Extensions 1→N→G→Q→1 with N=Q8 and Q=C10

Direct product G=NxQ with N=Q8 and Q=C10
dρLabelID
Q8xC1080Q8xC1080,47

Semidirect products G=N:Q with N=Q8 and Q=C10
extensionφ:Q→Out NdρLabelID
Q8:C10 = C5xSD16φ: C10/C5C2 ⊆ Out Q8402Q8:C1080,26
Q8:2C10 = C5xC4oD4φ: trivial image402Q8:2C1080,48

Non-split extensions G=N.Q with N=Q8 and Q=C10
extensionφ:Q→Out NdρLabelID
Q8.C10 = C5xQ16φ: C10/C5C2 ⊆ Out Q8802Q8.C1080,27

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