Extensions 1→N→G→Q→1 with N=C₃×Q₁₆ and Q=C₆

Direct product G=N×Q with N=C₃×Q₁₆ and Q=C₆

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

Semidirect products G=N:Q with N=C₃×Q₁₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₁₆)⋊₁C₆ = C₃×C₈.₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₁₆	96	4	(C3xQ16):1C6	288,262
(C₃×Q₁₆)⋊₂C₆ = C₃×S₃×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₁₆	96	4	(C3xQ16):2C6	288,688
(C₃×Q₁₆)⋊₃C₆ = C₃×D₂₄⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₁₆	96	4	(C3xQ16):3C6	288,690
(C₃×Q₁₆)⋊₄C₆ = C₃×Q₁₆⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₁₆	96	4	(C3xQ16):4C6	288,689
(C₃×Q₁₆)⋊₅C₆ = C₃²×SD₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₁₆	144		(C3xQ16):5C6	288,330
(C₃×Q₁₆)⋊₆C₆ = C₃²×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₁₆	144		(C3xQ16):6C6	288,834
(C₃×Q₁₆)⋊₇C₆ = C₃²×C₄○D₈	φ: trivial image	144		(C3xQ16):7C6	288,832

Non-split extensions G=N.Q with N=C₃×Q₁₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₁₆).₁C₆ = C₃×C₃⋊Q₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₁₆	96	4	(C3xQ16).1C6	288,263
(C₃×Q₁₆).₂C₆ = C₉×SD₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₁₆	144	2	(C3xQ16).2C6	288,62
(C₃×Q₁₆).₃C₆ = C₉×Q₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₁₆	288	2	(C3xQ16).3C6	288,63
(C₃×Q₁₆).₄C₆ = C₃²×Q₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₁₆	288		(C3xQ16).4C6	288,331
(C₃×Q₁₆).₅C₆ = C₉×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×Q₁₆	144	4	(C3xQ16).5C6	288,187
(C₃×Q₁₆).₆C₆ = Q₁₆×C₁₈	φ: trivial image	288		(C3xQ16).6C6	288,184
(C₃×Q₁₆).₇C₆ = C₉×C₄○D₈	φ: trivial image	144	2	(C3xQ16).7C6	288,185

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