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

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

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

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

extension	φ:Q→Out N	d	Label	ID
Q₁₆⋊₁(C₃×C₆) = C₃²×SD₃₂	φ: C₃×C₆/C₃² → C₂ ⊆ Out Q₁₆	144	Q16:1(C3xC6)	288,330
Q₁₆⋊₂(C₃×C₆) = C₃²×C₈.C₂²	φ: C₃×C₆/C₃² → C₂ ⊆ Out Q₁₆	144	Q16:2(C3xC6)	288,834
Q₁₆⋊₃(C₃×C₆) = C₃²×C₄○D₈	φ: trivial image	144	Q16:3(C3xC6)	288,832

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.(C₃×C₆) = C₃²×Q₃₂	φ: C₃×C₆/C₃² → C₂ ⊆ Out Q₁₆	288		Q16.(C3xC6)	288,331

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