Extensions 1→N→G→Q→1 with N=C₅×D₄ and Q=C₁₂

Direct product G=N×Q with N=C₅×D₄ and Q=C₁₂

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

Semidirect products G=N:Q with N=C₅×D₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄)⋊₁C₁₂ = C₃×D₂₀⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Out C₅×D₄	120	8	(C5xD4):1C12	480,287
(C₅×D₄)⋊₂C₁₂ = C₃×D₄⋊F₅	φ: C₁₂/C₃ → C₄ ⊆ Out C₅×D₄	120	8	(C5xD4):2C12	480,288
(C₅×D₄)⋊₃C₁₂ = C₃×D₄×F₅	φ: C₁₂/C₃ → C₄ ⊆ Out C₅×D₄	60	8	(C5xD4):3C12	480,1054
(C₅×D₄)⋊₄C₁₂ = C₃×D₄⋊Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×D₄	240		(C5xD4):4C12	480,110
(C₅×D₄)⋊₅C₁₂ = C₃×D₄⋊₂Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×D₄	120	4	(C5xD4):5C12	480,115
(C₅×D₄)⋊₆C₁₂ = C₃×D₄×Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×D₄	240		(C5xD4):6C12	480,727
(C₅×D₄)⋊₇C₁₂ = C₁₅×D₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×D₄	240		(C5xD4):7C12	480,205
(C₅×D₄)⋊₈C₁₂ = C₁₅×C₄≀C₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×D₄	120	2	(C5xD4):8C12	480,207

Non-split extensions G=N.Q with N=C₅×D₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄).C₁₂ = C₃×D₄.F₅	φ: C₁₂/C₃ → C₄ ⊆ Out C₅×D₄	240	8	(C5xD4).C12	480,1053
(C₅×D₄).₂C₁₂ = C₃×D₄.Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×D₄	240	4	(C5xD4).2C12	480,741
(C₅×D₄).₃C₁₂ = C₁₅×C₈○D₄	φ: trivial image	240	2	(C5xD4).3C12	480,936

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