Extensions 1→N→G→Q→1 with N=Q8xC17 and Q=C2

Direct product G=NxQ with N=Q8xC17 and Q=C2
dρLabelID
Q8xC34272Q8xC34272,48

Semidirect products G=N:Q with N=Q8xC17 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8xC17):1C2 = Q8:D17φ: C2/C1C2 ⊆ Out Q8xC171364+(Q8xC17):1C2272,17
(Q8xC17):2C2 = Q8xD17φ: C2/C1C2 ⊆ Out Q8xC171364-(Q8xC17):2C2272,42
(Q8xC17):3C2 = D68:C2φ: C2/C1C2 ⊆ Out Q8xC171364+(Q8xC17):3C2272,43
(Q8xC17):4C2 = SD16xC17φ: C2/C1C2 ⊆ Out Q8xC171362(Q8xC17):4C2272,26
(Q8xC17):5C2 = C4oD4xC17φ: trivial image1362(Q8xC17):5C2272,49

Non-split extensions G=N.Q with N=Q8xC17 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8xC17).1C2 = C17:Q16φ: C2/C1C2 ⊆ Out Q8xC172724-(Q8xC17).1C2272,18
(Q8xC17).2C2 = Q16xC17φ: C2/C1C2 ⊆ Out Q8xC172722(Q8xC17).2C2272,27

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