Extensions 1→N→G→Q→1 with N=Q16 and Q=C2

Direct product G=N×Q with N=Q16 and Q=C2
dρLabelID
C2×Q1632C2xQ1632,41

Semidirect products G=N:Q with N=Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
Q161C2 = SD32φ: C2/C1C2 ⊆ Out Q16162Q16:1C232,19
Q162C2 = C8.C22φ: C2/C1C2 ⊆ Out Q16164-Q16:2C232,44
Q163C2 = C4○D8φ: trivial image162Q16:3C232,42

Non-split extensions G=N.Q with N=Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
Q16.C2 = Q32φ: C2/C1C2 ⊆ Out Q16322-Q16.C232,20

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