Extensions 1→N→G→Q→1 with N=C₃²xQ₁₆ and Q=C₂

Direct product G=NxQ with N=C₃²xQ₁₆ and Q=C₂

		d	ρ	Label	ID
Q₁₆xC₃xC₆		288		Q16xC3xC6	288,831

Semidirect products G=N:Q with N=C₃²xQ₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xQ₁₆):₁C₂ = C₃xC₈.₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	96	4	(C3^2xQ16):1C2	288,262
(C₃²xQ₁₆):₂C₂ = C₃²:₁₀SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	144		(C3^2xQ16):2C2	288,303
(C₃²xQ₁₆):₃C₂ = C₃xS₃xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	96	4	(C3^2xQ16):3C2	288,688
(C₃²xQ₁₆):₄C₂ = C₃xD₂₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	96	4	(C3^2xQ16):4C2	288,690
(C₃²xQ₁₆):₅C₂ = Q₁₆xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	144		(C3^2xQ16):5C2	288,774
(C₃²xQ₁₆):₆C₂ = C₂₄.₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	144		(C3^2xQ16):6C2	288,776
(C₃²xQ₁₆):₇C₂ = C₂₄.₃₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	144		(C3^2xQ16):7C2	288,775
(C₃²xQ₁₆):₈C₂ = C₃xQ₁₆:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	96	4	(C3^2xQ16):8C2	288,689
(C₃²xQ₁₆):₉C₂ = C₃²xSD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	144		(C3^2xQ16):9C2	288,330
(C₃²xQ₁₆):₁₀C₂ = C₃²xC₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	144		(C3^2xQ16):10C2	288,834
(C₃²xQ₁₆):₁₁C₂ = C₃²xC₄oD₈	φ: trivial image	144		(C3^2xQ16):11C2	288,832

Non-split extensions G=N.Q with N=C₃²xQ₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xQ₁₆).₁C₂ = C₃xC₃:Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	96	4	(C3^2xQ16).1C2	288,263
(C₃²xQ₁₆).₂C₂ = C₃²:₇Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	288		(C3^2xQ16).2C2	288,304
(C₃²xQ₁₆).₃C₂ = C₃²xQ₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²xQ₁₆	288		(C3^2xQ16).3C2	288,331

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