Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=C₂₀

Direct product G=N×Q with N=C₃×D₄ and Q=C₂₀

		d	ρ	Label	ID
D₄×C₆₀		240		D4xC60	480,923

Semidirect products G=N:Q with N=C₃×D₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁C₂₀ = C₅×D₄⋊Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×D₄	240		(C3xD4):1C20	480,151
(C₃×D₄)⋊₂C₂₀ = C₅×Q₈⋊₃Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×D₄	120	4	(C3xD4):2C20	480,156
(C₃×D₄)⋊₃C₂₀ = C₅×D₄×Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×D₄	240		(C3xD4):3C20	480,813
(C₃×D₄)⋊₄C₂₀ = C₁₅×D₄⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×D₄	240		(C3xD4):4C20	480,205
(C₃×D₄)⋊₅C₂₀ = C₁₅×C₄≀C₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×D₄	120	2	(C3xD4):5C20	480,207

Non-split extensions G=N.Q with N=C₃×D₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).C₂₀ = C₅×D₄.Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃×D₄	240	4	(C3xD4).C20	480,827
(C₃×D₄).₂C₂₀ = C₁₅×C₈○D₄	φ: trivial image	240	2	(C3xD4).2C20	480,936

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