Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=Dic₃

Direct product G=N×Q with N=C₅×Q₈ and Q=Dic₃

		d	ρ	Label	ID
C₅×Q₈×Dic₃		480		C5xQ8xDic3	480,824

Semidirect products G=N:Q with N=C₅×Q₈ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊Dic₃ = D₁₀.S₄	φ: Dic₃/C₁ → Dic₃ ⊆ Out C₅×Q₈	40	8-	(C5xQ8):Dic3	480,962
(C₅×Q₈)⋊₂Dic₃ = Q₈⋊Dic₁₅	φ: Dic₃/C₂ → S₃ ⊆ Out C₅×Q₈	160		(C5xQ8):2Dic3	480,260
(C₅×Q₈)⋊₃Dic₃ = C₅×Q₈⋊Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Out C₅×Q₈	160		(C5xQ8):3Dic3	480,256
(C₅×Q₈)⋊₄Dic₃ = Dic₁₀⋊₂Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out C₅×Q₈	120	8	(C5xQ8):4Dic3	480,314
(C₅×Q₈)⋊₅Dic₃ = D₂₀⋊₂Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out C₅×Q₈	120	8	(C5xQ8):5Dic3	480,315
(C₅×Q₈)⋊₆Dic₃ = Q₈×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Out C₅×Q₈	120	8	(C5xQ8):6Dic3	480,1069
(C₅×Q₈)⋊₇Dic₃ = Q₈⋊₂Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×Q₈	480		(C5xQ8):7Dic3	480,195
(C₅×Q₈)⋊₈Dic₃ = Q₈⋊₃Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×Q₈	120	4	(C5xQ8):8Dic3	480,197
(C₅×Q₈)⋊₉Dic₃ = Q₈×Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×Q₈	480		(C5xQ8):9Dic3	480,910
(C₅×Q₈)⋊₁₀Dic₃ = C₅×Q₈⋊₂Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×Q₈	480		(C5xQ8):10Dic3	480,154
(C₅×Q₈)⋊₁₁Dic₃ = C₅×Q₈⋊₃Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×Q₈	120	4	(C5xQ8):11Dic3	480,156

Non-split extensions G=N.Q with N=C₅×Q₈ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈).Dic₃ = C₅⋊U₂(𝔽₃)	φ: Dic₃/C₁ → Dic₃ ⊆ Out C₅×Q₈	120	8+	(C5xQ8).Dic3	480,961
(C₅×Q₈).₂Dic₃ = C₅⋊₂U₂(𝔽₃)	φ: Dic₃/C₂ → S₃ ⊆ Out C₅×Q₈	120	4	(C5xQ8).2Dic3	480,261
(C₅×Q₈).₃Dic₃ = C₅×U₂(𝔽₃)	φ: Dic₃/C₂ → S₃ ⊆ Out C₅×Q₈	120	2	(C5xQ8).3Dic3	480,257
(C₅×Q₈).₄Dic₃ = D₂₀.Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out C₅×Q₈	240	8	(C5xQ8).4Dic3	480,1068
(C₅×Q₈).₅Dic₃ = D₄.Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×Q₈	240	4	(C5xQ8).5Dic3	480,913
(C₅×Q₈).₆Dic₃ = C₅×D₄.Dic₃	φ: trivial image	240	4	(C5xQ8).6Dic3	480,827

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