Extensions 1→N→G→Q→1 with N=C₈xD₅ and Q=S₃

Direct product G=NxQ with N=C₈xD₅ and Q=S₃

		d	ρ	Label	ID
S₃xC₈xD₅		120	4	S3xC8xD5	480,319

Semidirect products G=N:Q with N=C₈xD₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈xD₅):₁S₃ = D₅xD₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	120	4+	(C8xD5):1S3	480,324
(C₈xD₅):₂S₃ = D₂₄:₇D₅	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	240	4-	(C8xD5):2S3	480,346
(C₈xD₅):₃S₃ = D₁₂₀:C₂	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	240	4+	(C8xD5):3S3	480,347
(C₈xD₅):₄S₃ = D₅xC₂₄:C₂	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	120	4	(C8xD5):4S3	480,323
(C₈xD₅):₅S₃ = C₄₀.₃₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	240	4	(C8xD5):5S3	480,345
(C₈xD₅):₆S₃ = C₄₀.₅₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	240	4	(C8xD5):6S3	480,341
(C₈xD₅):₇S₃ = D₅xC₈:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	120	4	(C8xD5):7S3	480,320
(C₈xD₅):₈S₃ = C₄₀.₃₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	240	4	(C8xD5):8S3	480,342

Non-split extensions G=N.Q with N=C₈xD₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈xD₅).₁S₃ = D₅xDic₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	240	4-	(C8xD5).1S3	480,335
(C₈xD₅).₂S₃ = C₄₀.₅₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	240	4	(C8xD5).2S3	480,10
(C₈xD₅).₃S₃ = D₅.D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	120	4	(C8xD5).3S3	480,299
(C₈xD₅).₄S₃ = C₂₄.₁F₅	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	240	4	(C8xD5).4S3	480,301
(C₈xD₅).₅S₃ = C₁₂₀:C₄	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	120	4	(C8xD5).5S3	480,298
(C₈xD₅).₆S₃ = C₄₀.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	240	4	(C8xD5).6S3	480,300
(C₈xD₅).₇S₃ = C₂₄.F₅	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	240	4	(C8xD5).7S3	480,294
(C₈xD₅).₈S₃ = C₁₂₀.C₄	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	240	4	(C8xD5).8S3	480,295
(C₈xD₅).₉S₃ = C₈xC₃:F₅	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	120	4	(C8xD5).9S3	480,296
(C₈xD₅).₁₀S₃ = C₂₄:F₅	φ: S₃/C₃ → C₂ ⊆ Out C₈xD₅	120	4	(C8xD5).10S3	480,297
(C₈xD₅).₁₁S₃ = D₅xC₃:C₁₆	φ: trivial image	240	4	(C8xD5).11S3	480,7

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