Extensions 1→N→G→Q→1 with N=Q₈×C₁₈ and Q=C₂

Direct product G=N×Q with N=Q₈×C₁₈ and Q=C₂

		d	ρ	Label	ID
Q₈×C₂×C₁₈		288		Q8xC2xC18	288,369

Semidirect products G=N:Q with N=Q₈×C₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₈)⋊₁C₂ = C₂×Q₈⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144		(Q8xC18):1C2	288,152
(Q₈×C₁₈)⋊₂C₂ = C₃₆.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144	4	(Q8xC18):2C2	288,153
(Q₈×C₁₈)⋊₃C₂ = D₁₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144		(Q8xC18):3C2	288,156
(Q₈×C₁₈)⋊₄C₂ = C₃₆.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144		(Q8xC18):4C2	288,157
(Q₈×C₁₈)⋊₅C₂ = C₂×Q₈×D₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144		(Q8xC18):5C2	288,359
(Q₈×C₁₈)⋊₆C₂ = C₂×Q₈⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144		(Q8xC18):6C2	288,360
(Q₈×C₁₈)⋊₇C₂ = Q₈.₁₅D₁₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144	4	(Q8xC18):7C2	288,361
(Q₈×C₁₈)⋊₈C₂ = C₉×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144		(Q8xC18):8C2	288,172
(Q₈×C₁₈)⋊₉C₂ = C₉×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144		(Q8xC18):9C2	288,174
(Q₈×C₁₈)⋊₁₀C₂ = SD₁₆×C₁₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144		(Q8xC18):10C2	288,183
(Q₈×C₁₈)⋊₁₁C₂ = C₉×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144	4	(Q8xC18):11C2	288,187
(Q₈×C₁₈)⋊₁₂C₂ = C₉×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144	4	(Q8xC18):12C2	288,372
(Q₈×C₁₈)⋊₁₃C₂ = C₄○D₄×C₁₈	φ: trivial image	144		(Q8xC18):13C2	288,370

Non-split extensions G=N.Q with N=Q₈×C₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₈).₁C₂ = C₃₆.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144	4	(Q8xC18).1C2	288,42
(Q₈×C₁₈).₂C₂ = Q₈⋊₂Dic₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	288		(Q8xC18).2C2	288,43
(Q₈×C₁₈).₃C₂ = C₂×C₉⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	288		(Q8xC18).3C2	288,151
(Q₈×C₁₈).₄C₂ = Dic₉⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	288		(Q8xC18).4C2	288,154
(Q₈×C₁₈).₅C₂ = Q₈×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	288		(Q8xC18).5C2	288,155
(Q₈×C₁₈).₆C₂ = C₉×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	144	4	(Q8xC18).6C2	288,51
(Q₈×C₁₈).₇C₂ = C₉×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	288		(Q8xC18).7C2	288,53
(Q₈×C₁₈).₈C₂ = C₉×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	288		(Q8xC18).8C2	288,178
(Q₈×C₁₈).₉C₂ = Q₁₆×C₁₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₁₈	288		(Q8xC18).9C2	288,184
(Q₈×C₁₈).₁₀C₂ = Q₈×C₃₆	φ: trivial image	288		(Q8xC18).10C2	288,169

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