Extensions 1→N→G→Q→1 with N=Q₈⋊₃S₃ and Q=D₅

Direct product G=N×Q with N=Q₈⋊₃S₃ and Q=D₅

		d	ρ	Label	ID
D₅×Q₈⋊₃S₃		120	8+	D5xQ8:3S3	480,1108

Semidirect products G=N:Q with N=Q₈⋊₃S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃⋊₁D₅ = D₁₂⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	120	8+	Q8:3S3:1D5	480,580
Q₈⋊₃S₃⋊₂D₅ = D₂₀.₂₇D₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	240	8-	Q8:3S3:2D5	480,593
Q₈⋊₃S₃⋊₃D₅ = Dic₁₀.₂₇D₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	240	8+	Q8:3S3:3D5	480,595
Q₈⋊₃S₃⋊₄D₅ = D₁₂.₂₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	240	8-	Q8:3S3:4D5	480,1106
Q₈⋊₃S₃⋊₅D₅ = D₂₀⋊₁₇D₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	120	8+	Q8:3S3:5D5	480,1111
Q₈⋊₃S₃⋊₆D₅ = D₂₀⋊₁₆D₆	φ: trivial image	120	8-	Q8:3S3:6D5	480,1110

Non-split extensions G=N.Q with N=Q₈⋊₃S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃.D₅ = Dic₁₀.₂₆D₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	240	8-	Q8:3S3.D5	480,586

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