Extensions 1→N→G→Q→1 with N=C₉×Q₁₆ and Q=C₂

Direct product G=N×Q with N=C₉×Q₁₆ and Q=C₂

		d	ρ	Label	ID
Q₁₆×C₁₈		288		Q16xC18	288,184

Semidirect products G=N:Q with N=C₉×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×Q₁₆)⋊₁C₂ = C₉⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×Q₁₆	144	4+	(C9xQ16):1C2	288,35
(C₉×Q₁₆)⋊₂C₂ = Q₁₆×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×Q₁₆	144	4-	(C9xQ16):2C2	288,127
(C₉×Q₁₆)⋊₃C₂ = D₇₂⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×Q₁₆	144	4+	(C9xQ16):3C2	288,129
(C₉×Q₁₆)⋊₄C₂ = Q₁₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×Q₁₆	144	4	(C9xQ16):4C2	288,128
(C₉×Q₁₆)⋊₅C₂ = C₉×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×Q₁₆	144	2	(C9xQ16):5C2	288,62
(C₉×Q₁₆)⋊₆C₂ = C₉×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₉×Q₁₆	144	4	(C9xQ16):6C2	288,187
(C₉×Q₁₆)⋊₇C₂ = C₉×C₄○D₈	φ: trivial image	144	2	(C9xQ16):7C2	288,185

Non-split extensions G=N.Q with N=C₉×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×Q₁₆).₁C₂ = C₉⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×Q₁₆	288	4-	(C9xQ16).1C2	288,36
(C₉×Q₁₆).₂C₂ = C₉×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×Q₁₆	288	2	(C9xQ16).2C2	288,63

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