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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₂×C₁₈) = C₂²×Q₈⋊C₉	φ: C₂×C₁₈/C₂×C₆ → C₃ ⊆ Out Q₈	288		Q8:(C2xC18)	288,345
Q₈⋊₂(C₂×C₁₈) = SD₁₆×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out Q₈	144		Q8:2(C2xC18)	288,183
Q₈⋊₃(C₂×C₁₈) = C₉×C₈⋊C₂²	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out Q₈	72	4	Q8:3(C2xC18)	288,186
Q₈⋊₄(C₂×C₁₈) = C₄○D₄×C₁₈	φ: trivial image	144		Q8:4(C2xC18)	288,370
Q₈⋊₅(C₂×C₁₈) = C₉×2₊¹⁺⁴	φ: trivial image	72	4	Q8:5(C2xC18)	288,371

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×C₁₈) = C₂×Q₈.C₁₈	φ: C₂×C₁₈/C₂×C₆ → C₃ ⊆ Out Q₈	144		Q8.1(C2xC18)	288,347
Q₈.₂(C₂×C₁₈) = 2₊¹⁺⁴⋊C₉	φ: C₂×C₁₈/C₂×C₆ → C₃ ⊆ Out Q₈	72	4	Q8.2(C2xC18)	288,348
Q₈.₃(C₂×C₁₈) = 2_-¹⁺⁴⋊C₉	φ: C₂×C₁₈/C₂×C₆ → C₃ ⊆ Out Q₈	144	4	Q8.3(C2xC18)	288,349
Q₈.₄(C₂×C₁₈) = Q₁₆×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out Q₈	288		Q8.4(C2xC18)	288,184
Q₈.₅(C₂×C₁₈) = C₉×C₄○D₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out Q₈	144	2	Q8.5(C2xC18)	288,185
Q₈.₆(C₂×C₁₈) = C₉×C₈.C₂²	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out Q₈	144	4	Q8.6(C2xC18)	288,187
Q₈.₇(C₂×C₁₈) = C₉×2_-¹⁺⁴	φ: trivial image	144	4	Q8.7(C2xC18)	288,372

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