Extensions 1→N→G→Q→1 with N=Q₁₆ and Q=C₂×C₆

Direct product G=N×Q with N=Q₁₆ and Q=C₂×C₆

		d	ρ	Label	ID
C₂×C₆×Q₁₆		192		C2xC6xQ16	192,1460

Semidirect products G=N:Q with N=Q₁₆ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆⋊₁(C₂×C₆) = C₆×SD₃₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out Q₁₆	96		Q16:1(C2xC6)	192,939
Q₁₆⋊₂(C₂×C₆) = C₃×C₁₆⋊C₂²	φ: C₂×C₆/C₆ → C₂ ⊆ Out Q₁₆	48	4	Q16:2(C2xC6)	192,942
Q₁₆⋊₃(C₂×C₆) = C₆×C₈.C₂²	φ: C₂×C₆/C₆ → C₂ ⊆ Out Q₁₆	96		Q16:3(C2xC6)	192,1463
Q₁₆⋊₄(C₂×C₆) = C₃×D₈⋊C₂²	φ: C₂×C₆/C₆ → C₂ ⊆ Out Q₁₆	48	4	Q16:4(C2xC6)	192,1464
Q₁₆⋊₅(C₂×C₆) = C₃×D₄○SD₁₆	φ: C₂×C₆/C₆ → C₂ ⊆ Out Q₁₆	48	4	Q16:5(C2xC6)	192,1466
Q₁₆⋊₆(C₂×C₆) = C₆×C₄○D₈	φ: trivial image	96		Q16:6(C2xC6)	192,1461
Q₁₆⋊₇(C₂×C₆) = C₃×D₄○D₈	φ: trivial image	48	4	Q16:7(C2xC6)	192,1465

Non-split extensions G=N.Q with N=Q₁₆ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.₁(C₂×C₆) = C₆×Q₃₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out Q₁₆	192		Q16.1(C2xC6)	192,940
Q₁₆.₂(C₂×C₆) = C₃×C₄○D₁₆	φ: C₂×C₆/C₆ → C₂ ⊆ Out Q₁₆	96	2	Q16.2(C2xC6)	192,941
Q₁₆.₃(C₂×C₆) = C₃×Q₃₂⋊C₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out Q₁₆	96	4	Q16.3(C2xC6)	192,943
Q₁₆.₄(C₂×C₆) = C₃×Q₈○D₈	φ: trivial image	96	4	Q16.4(C2xC6)	192,1467

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