Extensions 1→N→G→Q→1 with N=Q8 and Q=C16

Direct product G=NxQ with N=Q8 and Q=C16
dρLabelID
Q8xC16128Q8xC16128,914

Semidirect products G=N:Q with N=Q8 and Q=C16
extensionφ:Q→Out NdρLabelID
Q8:C16 = Q8:C16φ: C16/C8C2 ⊆ Out Q8128Q8:C16128,69

Non-split extensions G=N.Q with N=Q8 and Q=C16
extensionφ:Q→Out NdρLabelID
Q8.C16 = D4.C16φ: C16/C8C2 ⊆ Out Q8642Q8.C16128,133
Q8.2C16 = D4oC32φ: trivial image642Q8.2C16128,990

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