Extensions 1→N→G→Q→1 with N=C₈×D₅ and Q=S₃

Direct product G=N×Q with N=C₈×D₅ and Q=S₃

		d	ρ	Label	ID
S₃×C₈×D₅		120	4	S3xC8xD5	480,319

Semidirect products G=N:Q with N=C₈×D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₅)⋊₁S₃ = D₅×D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	120	4+	(C8xD5):1S3	480,324
(C₈×D₅)⋊₂S₃ = D₂₄⋊₇D₅	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	240	4-	(C8xD5):2S3	480,346
(C₈×D₅)⋊₃S₃ = D₁₂₀⋊C₂	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	240	4+	(C8xD5):3S3	480,347
(C₈×D₅)⋊₄S₃ = D₅×C₂₄⋊C₂	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5):4S3	480,323
(C₈×D₅)⋊₅S₃ = C₄₀.₃₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5):5S3	480,345
(C₈×D₅)⋊₆S₃ = C₄₀.₅₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5):6S3	480,341
(C₈×D₅)⋊₇S₃ = D₅×C₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5):7S3	480,320
(C₈×D₅)⋊₈S₃ = C₄₀.₃₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5):8S3	480,342

Non-split extensions G=N.Q with N=C₈×D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₅).₁S₃ = D₅×Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	240	4-	(C8xD5).1S3	480,335
(C₈×D₅).₂S₃ = C₄₀.₅₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5).2S3	480,10
(C₈×D₅).₃S₃ = D₅.D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5).3S3	480,299
(C₈×D₅).₄S₃ = C₂₄.₁F₅	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5).4S3	480,301
(C₈×D₅).₅S₃ = C₁₂₀⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5).5S3	480,298
(C₈×D₅).₆S₃ = C₄₀.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5).6S3	480,300
(C₈×D₅).₇S₃ = C₂₄.F₅	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5).7S3	480,294
(C₈×D₅).₈S₃ = C₁₂₀.C₄	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5).8S3	480,295
(C₈×D₅).₉S₃ = C₈×C₃⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5).9S3	480,296
(C₈×D₅).₁₀S₃ = C₂₄⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5).10S3	480,297
(C₈×D₅).₁₁S₃ = D₅×C₃⋊C₁₆	φ: trivial image	240	4	(C8xD5).11S3	480,7

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