Extensions 1→N→G→Q→1 with N=D₄⋊₂S₃ and Q=D₅

Direct product G=N×Q with N=D₄⋊₂S₃ and Q=D₅

		d	ρ	Label	ID
D₅×D₄⋊₂S₃		120	8-	D5xD4:2S3	480,1098

Semidirect products G=N:Q with N=D₄⋊₂S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂S₃⋊₁D₅ = D₆₀.C₂²	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊₂S₃	120	8+	D4:2S3:1D5	480,556
D₄⋊₂S₃⋊₂D₅ = D₂₀.₂₄D₆	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊₂S₃	240	8-	D4:2S3:2D5	480,569
D₄⋊₂S₃⋊₃D₅ = C₆₀.₁₉C₂³	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊₂S₃	240	8+	D4:2S3:3D5	480,571
D₄⋊₂S₃⋊₄D₅ = C₁₅⋊2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊₂S₃	240	8-	D4:2S3:4D5	480,1096
D₄⋊₂S₃⋊₅D₅ = D₂₀⋊₁₄D₆	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊₂S₃	120	8+	D4:2S3:5D5	480,1102
D₄⋊₂S₃⋊₆D₅ = D₃₀.C₂³	φ: trivial image	120	8+	D4:2S3:6D5	480,1100

Non-split extensions G=N.Q with N=D₄⋊₂S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂S₃.D₅ = C₆₀.₁₀C₂³	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊₂S₃	240	8-	D4:2S3.D5	480,562

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