Extensions 1→N→G→Q→1 with N=Q₈×C₁₇ and Q=C₂

Direct product G=N×Q with N=Q₈×C₁₇ and Q=C₂

		d	ρ	Label	ID
Q₈×C₃₄		272		Q8xC34	272,48

Semidirect products G=N:Q with N=Q₈×C₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₇)⋊₁C₂ = Q₈⋊D₁₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₇	136	4+	(Q8xC17):1C2	272,17
(Q₈×C₁₇)⋊₂C₂ = Q₈×D₁₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₇	136	4-	(Q8xC17):2C2	272,42
(Q₈×C₁₇)⋊₃C₂ = D₆₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₇	136	4+	(Q8xC17):3C2	272,43
(Q₈×C₁₇)⋊₄C₂ = SD₁₆×C₁₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₇	136	2	(Q8xC17):4C2	272,26
(Q₈×C₁₇)⋊₅C₂ = C₄○D₄×C₁₇	φ: trivial image	136	2	(Q8xC17):5C2	272,49

Non-split extensions G=N.Q with N=Q₈×C₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₇).₁C₂ = C₁₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₇	272	4-	(Q8xC17).1C2	272,18
(Q₈×C₁₇).₂C₂ = Q₁₆×C₁₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₇	272	2	(Q8xC17).2C2	272,27

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