Extensions 1→N→G→Q→1 with N=Q8 and Q=C22

Direct product G=NxQ with N=Q8 and Q=C22
dρLabelID
Q8xC22176Q8xC22176,39

Semidirect products G=N:Q with N=Q8 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8:C22 = C11xSD16φ: C22/C11C2 ⊆ Out Q8882Q8:C22176,25
Q8:2C22 = C11xC4oD4φ: trivial image882Q8:2C22176,40

Non-split extensions G=N.Q with N=Q8 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8.C22 = C11xQ16φ: C22/C11C2 ⊆ Out Q81762Q8.C22176,26

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