Extensions 1→N→G→Q→1 with N=Q8:C9 and Q=C2

Direct product G=NxQ with N=Q8:C9 and Q=C2
dρLabelID
C2xQ8:C9144C2xQ8:C9144,35

Semidirect products G=N:Q with N=Q8:C9 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:C9:C2 = Q8:D9φ: C2/C1C2 ⊆ Out Q8:C9724+Q8:C9:C2144,32
Q8:C9:2C2 = Q8.C18φ: trivial image722Q8:C9:2C2144,36

Non-split extensions G=N.Q with N=Q8:C9 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:C9.C2 = Q8.D9φ: C2/C1C2 ⊆ Out Q8:C91444-Q8:C9.C2144,31

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