Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=C₂₀

Direct product G=N×Q with N=C₃×Q₈ and Q=C₂₀

		d	ρ	Label	ID
Q₈×C₆₀		480		Q8xC60	480,924

Semidirect products G=N:Q with N=C₃×Q₈ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁C₂₀ = C₅×Q₈⋊₂Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×Q₈	480		(C3xQ8):1C20	480,154
(C₃×Q₈)⋊₂C₂₀ = C₅×Q₈⋊₃Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×Q₈	120	4	(C3xQ8):2C20	480,156
(C₃×Q₈)⋊₃C₂₀ = C₅×Q₈×Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×Q₈	480		(C3xQ8):3C20	480,824
(C₃×Q₈)⋊₄C₂₀ = C₁₅×Q₈⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×Q₈	480		(C3xQ8):4C20	480,206
(C₃×Q₈)⋊₅C₂₀ = C₁₅×C₄≀C₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×Q₈	120	2	(C3xQ8):5C20	480,207

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).C₂₀ = C₅×D₄.Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×Q₈	240	4	(C3xQ8).C20	480,827
(C₃×Q₈).₂C₂₀ = C₁₅×C₈○D₄	φ: trivial image	240	2	(C3xQ8).2C20	480,936

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁