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

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

		d	ρ	Label	ID
D₅×D₄⋊S₃		120	8+	D5xD4:S3	480,553

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊S₃⋊₁D₅ = Dic₁₀⋊₃D₆	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊S₃	120	8+	D4:S3:1D5	480,554
D₄⋊S₃⋊₂D₅ = D₁₅⋊D₈	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊S₃	120	8+	D4:S3:2D5	480,557
D₄⋊S₃⋊₃D₅ = D₃₀.₈D₄	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊S₃	120	8-	D4:S3:3D5	480,558
D₄⋊S₃⋊₄D₅ = D₁₂⋊₁₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊S₃	120	8-	D4:S3:4D5	480,565
D₄⋊S₃⋊₅D₅ = D₃₀.₁₁D₄	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊S₃	240	8-	D4:S3:5D5	480,575
D₄⋊S₃⋊₆D₅ = D₁₂⋊₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out D₄⋊S₃	120	8+	D4:S3:6D5	480,576
D₄⋊S₃⋊₇D₅ = D₁₂.₂₄D₁₀	φ: trivial image	240	8-	D4:S3:7D5	480,566

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