Extensions 1→N→G→Q→1 with N=Q₈⋊₂D₅ and Q=S₃

Direct product G=N×Q with N=Q₈⋊₂D₅ and Q=S₃

		d	ρ	Label	ID
S₃×Q₈⋊₂D₅		120	8+	S3xQ8:2D5	480,1109

Semidirect products G=N:Q with N=Q₈⋊₂D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₅⋊₁S₃ = Dic₅.₆S₄	φ: S₃/C₁ → S₃ ⊆ Out Q₈⋊₂D₅	80	4	Q8:2D5:1S3	480,968
Q₈⋊₂D₅⋊₂S₃ = Dic₅.₇S₄	φ: S₃/C₁ → S₃ ⊆ Out Q₈⋊₂D₅	80	4+	Q8:2D5:2S3	480,969
Q₈⋊₂D₅⋊₃S₃ = GL₂(𝔽₃)⋊D₅	φ: S₃/C₁ → S₃ ⊆ Out Q₈⋊₂D₅	80	4+	Q8:2D5:3S3	480,970
Q₈⋊₂D₅⋊₄S₃ = D₂₀⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂D₅	120	8+	Q8:2D5:4S3	480,578
Q₈⋊₂D₅⋊₅S₃ = D₂₀.₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂D₅	240	8-	Q8:2D5:5S3	480,590
Q₈⋊₂D₅⋊₆S₃ = D₂₀.D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂D₅	240	8+	Q8:2D5:6S3	480,592
Q₈⋊₂D₅⋊₇S₃ = D₂₀.₂₉D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂D₅	240	8-	Q8:2D5:7S3	480,1104
Q₈⋊₂D₅⋊₈S₃ = D₂₀⋊₁₇D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂D₅	120	8+	Q8:2D5:8S3	480,1111
Q₈⋊₂D₅⋊₉S₃ = D₂₀⋊₁₆D₆	φ: trivial image	120	8-	Q8:2D5:9S3	480,1110

Non-split extensions G=N.Q with N=Q₈⋊₂D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₅.₁S₃ = CSU₂(𝔽₃)⋊D₅	φ: S₃/C₁ → S₃ ⊆ Out Q₈⋊₂D₅	160	4	Q8:2D5.1S3	480,967
Q₈⋊₂D₅.₂S₃ = C₅⋊U₂(𝔽₃)	φ: S₃/C₁ → S₃ ⊆ Out Q₈⋊₂D₅	120	8+	Q8:2D5.2S3	480,961
Q₈⋊₂D₅.₃S₃ = D₂₀.₁₃D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂D₅	240	8-	Q8:2D5.3S3	480,584
Q₈⋊₂D₅.₄S₃ = D₂₀⋊₂Dic₃	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂D₅	120	8	Q8:2D5.4S3	480,315
Q₈⋊₂D₅.₅S₃ = D₂₀.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂D₅	240	8	Q8:2D5.5S3	480,1068

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