Extensions 1→N→G→Q→1 with N=C₃×Q₁₆ and Q=C₁₀

Direct product G=N×Q with N=C₃×Q₁₆ and Q=C₁₀

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

Semidirect products G=N:Q with N=C₃×Q₁₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₁₆)⋊₁C₁₀ = C₅×C₈.₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	4	(C3xQ16):1C10	480,147
(C₃×Q₁₆)⋊₂C₁₀ = C₅×S₃×Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	4	(C3xQ16):2C10	480,796
(C₃×Q₁₆)⋊₃C₁₀ = C₅×D₂₄⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	4	(C3xQ16):3C10	480,798
(C₃×Q₁₆)⋊₄C₁₀ = C₅×Q₁₆⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	4	(C3xQ16):4C10	480,797
(C₃×Q₁₆)⋊₅C₁₀ = C₁₅×SD₃₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	2	(C3xQ16):5C10	480,215
(C₃×Q₁₆)⋊₆C₁₀ = C₁₅×C₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₁₆	240	4	(C3xQ16):6C10	480,942
(C₃×Q₁₆)⋊₇C₁₀ = C₁₅×C₄○D₈	φ: trivial image	240	2	(C3xQ16):7C10	480,940

Non-split extensions G=N.Q with N=C₃×Q₁₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₁₆).₁C₁₀ = C₅×C₃⋊Q₃₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₁₆	480	4	(C3xQ16).1C10	480,148
(C₃×Q₁₆).₂C₁₀ = C₁₅×Q₃₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₁₆	480	2	(C3xQ16).2C10	480,216

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁