Extensions 1→N→G→Q→1 with N=C₃×C₄○D₄ and Q=D₅

Direct product G=N×Q with N=C₃×C₄○D₄ and Q=D₅

		d	ρ	Label	ID
C₃×D₅×C₄○D₄		120	4	C3xD5xC4oD4	480,1145

Semidirect products G=N:Q with N=C₃×C₄○D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₄)⋊₁D₅ = D₄⋊D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4+	(C3xC4oD4):1D5	480,914
(C₃×C₄○D₄)⋊₂D₅ = D₄.₈D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4	(C3xC4oD4):2D5	480,915
(C₃×C₄○D₄)⋊₃D₅ = C₄○D₄×D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4	(C3xC4oD4):3D5	480,1175
(C₃×C₄○D₄)⋊₄D₅ = D₄⋊₈D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4+	(C3xC4oD4):4D5	480,1176
(C₃×C₄○D₄)⋊₅D₅ = D₄.₁₀D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4-	(C3xC4oD4):5D5	480,1177
(C₃×C₄○D₄)⋊₆D₅ = C₃×D₄⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4	(C3xC4oD4):6D5	480,742
(C₃×C₄○D₄)⋊₇D₅ = C₃×D₄.₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4	(C3xC4oD4):7D5	480,743
(C₃×C₄○D₄)⋊₈D₅ = C₃×D₄⋊₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4	(C3xC4oD4):8D5	480,1146
(C₃×C₄○D₄)⋊₉D₅ = C₃×D₄.₁₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4	(C3xC4oD4):9D5	480,1147

Non-split extensions G=N.Q with N=C₃×C₄○D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₄).₁D₅ = Q₈⋊₃Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4	(C3xC4oD4).1D5	480,197
(C₃×C₄○D₄).₂D₅ = D₄.Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4	(C3xC4oD4).2D5	480,913
(C₃×C₄○D₄).₃D₅ = D₄.₉D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4-	(C3xC4oD4).3D5	480,916
(C₃×C₄○D₄).₄D₅ = C₃×D₄⋊₂Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4	(C3xC4oD4).4D5	480,115
(C₃×C₄○D₄).₅D₅ = C₃×D₄.₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4	(C3xC4oD4).5D5	480,744
(C₃×C₄○D₄).₆D₅ = C₃×D₄.Dic₅	φ: trivial image	240	4	(C3xC4oD4).6D5	480,741

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