Extensions 1→N→G→Q→1 with N=D4 and Q=C16

Direct product G=NxQ with N=D4 and Q=C16
dρLabelID
D4xC1664D4xC16128,899

Semidirect products G=N:Q with N=D4 and Q=C16
extensionφ:Q→Out NdρLabelID
D4:C16 = D4:C16φ: C16/C8C2 ⊆ Out D464D4:C16128,61

Non-split extensions G=N.Q with N=D4 and Q=C16
extensionφ:Q→Out NdρLabelID
D4.C16 = D4.C16φ: C16/C8C2 ⊆ Out D4642D4.C16128,133
D4.2C16 = D4oC32φ: trivial image642D4.2C16128,990

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