Extensions 1→N→G→Q→1 with N=Q₁₆ and Q=C₁₂

Direct product G=N×Q with N=Q₁₆ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×Q₁₆		192		C12xQ16	192,872

Semidirect products G=N:Q with N=Q₁₆ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆⋊₁C₁₂ = C₃×C₂.Q₃₂	φ: C₁₂/C₆ → C₂ ⊆ Out Q₁₆	192		Q16:1C12	192,164
Q₁₆⋊₂C₁₂ = C₃×D₈⋊₂C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Q₁₆	48	4	Q16:2C12	192,166
Q₁₆⋊₃C₁₂ = C₃×Q₁₆⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Q₁₆	192		Q16:3C12	192,874
Q₁₆⋊₄C₁₂ = C₃×C₈.₂₆D₄	φ: C₁₂/C₆ → C₂ ⊆ Out Q₁₆	48	4	Q16:4C12	192,877
Q₁₆⋊₅C₁₂ = C₃×C₈○D₈	φ: trivial image	48	2	Q16:5C12	192,876

Non-split extensions G=N.Q with N=Q₁₆ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.₁C₁₂ = C₃×D₈.C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Q₁₆	96	2	Q16.1C12	192,165
Q₁₆.₂C₁₂ = C₃×C₈.₁₇D₄	φ: C₁₂/C₆ → C₂ ⊆ Out Q₁₆	96	4	Q16.2C12	192,168

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