Extensions 1→N→G→Q→1 with N=C₃²×Q₁₆ and Q=C₂

Direct product G=N×Q with N=C₃²×Q₁₆ and Q=C₂

		d	ρ	Label	ID
Q₁₆×C₃×C₆		288		Q16xC3xC6	288,831

Semidirect products G=N:Q with N=C₃²×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×Q₁₆)⋊₁C₂ = C₃×C₈.₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	96	4	(C3^2xQ16):1C2	288,262
(C₃²×Q₁₆)⋊₂C₂ = C₃²⋊₁₀SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	144		(C3^2xQ16):2C2	288,303
(C₃²×Q₁₆)⋊₃C₂ = C₃×S₃×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	96	4	(C3^2xQ16):3C2	288,688
(C₃²×Q₁₆)⋊₄C₂ = C₃×D₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	96	4	(C3^2xQ16):4C2	288,690
(C₃²×Q₁₆)⋊₅C₂ = Q₁₆×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	144		(C3^2xQ16):5C2	288,774
(C₃²×Q₁₆)⋊₆C₂ = C₂₄.₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	144		(C3^2xQ16):6C2	288,776
(C₃²×Q₁₆)⋊₇C₂ = C₂₄.₃₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	144		(C3^2xQ16):7C2	288,775
(C₃²×Q₁₆)⋊₈C₂ = C₃×Q₁₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	96	4	(C3^2xQ16):8C2	288,689
(C₃²×Q₁₆)⋊₉C₂ = C₃²×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	144		(C3^2xQ16):9C2	288,330
(C₃²×Q₁₆)⋊₁₀C₂ = C₃²×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	144		(C3^2xQ16):10C2	288,834
(C₃²×Q₁₆)⋊₁₁C₂ = C₃²×C₄○D₈	φ: trivial image	144		(C3^2xQ16):11C2	288,832

Non-split extensions G=N.Q with N=C₃²×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×Q₁₆).₁C₂ = C₃×C₃⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	96	4	(C3^2xQ16).1C2	288,263
(C₃²×Q₁₆).₂C₂ = C₃²⋊₇Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	288		(C3^2xQ16).2C2	288,304
(C₃²×Q₁₆).₃C₂ = C₃²×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Q₁₆	288		(C3^2xQ16).3C2	288,331

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