Extensions 1→N→G→Q→1 with N=Q₁₆ and Q=C₃₀

Direct product G=N×Q with N=Q₁₆ and Q=C₃₀

		d	ρ	Label	ID
Q₁₆×C₃₀		480		Q16xC30	480,939

Semidirect products G=N:Q with N=Q₁₆ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆⋊₁C₃₀ = C₁₅×SD₃₂	φ: C₃₀/C₁₅ → C₂ ⊆ Out Q₁₆	240	2	Q16:1C30	480,215
Q₁₆⋊₂C₃₀ = C₁₅×C₈.C₂²	φ: C₃₀/C₁₅ → C₂ ⊆ Out Q₁₆	240	4	Q16:2C30	480,942
Q₁₆⋊₃C₃₀ = C₁₅×C₄○D₈	φ: trivial image	240	2	Q16:3C30	480,940

Non-split extensions G=N.Q with N=Q₁₆ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.C₃₀ = C₁₅×Q₃₂	φ: C₃₀/C₁₅ → C₂ ⊆ Out Q₁₆	480	2	Q16.C30	480,216

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Q16 and Q=C30