Extensions 1→N→G→Q→1 with N=Q32 and Q=C4

Direct product G=NxQ with N=Q32 and Q=C4
dρLabelID
C4xQ32128C4xQ32128,906

Semidirect products G=N:Q with N=Q32 and Q=C4
extensionφ:Q→Out NdρLabelID
Q32:C4 = Q32:C4φ: C4/C1C4 ⊆ Out Q32328-Q32:C4128,912
Q32:2C4 = Q32:2C4φ: C4/C2C2 ⊆ Out Q32128Q32:2C4128,148
Q32:3C4 = D16:3C4φ: C4/C2C2 ⊆ Out Q32324Q32:3C4128,150
Q32:4C4 = Q32:4C4φ: C4/C2C2 ⊆ Out Q32128Q32:4C4128,908
Q32:5C4 = D16:5C4φ: C4/C2C2 ⊆ Out Q32324Q32:5C4128,911
Q32:6C4 = C8oD16φ: trivial image322Q32:6C4128,910

Non-split extensions G=N.Q with N=Q32 and Q=C4
extensionφ:Q→Out NdρLabelID
Q32.1C4 = D16.C4φ: C4/C2C2 ⊆ Out Q32642Q32.1C4128,149
Q32.2C4 = C16.18D4φ: C4/C2C2 ⊆ Out Q32644-Q32.2C4128,152

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