Extensions 1→N→G→Q→1 with N=C₅×D₄ and Q=Dic₃

Direct product G=N×Q with N=C₅×D₄ and Q=Dic₃

		d	ρ	Label	ID
C₅×D₄×Dic₃		240		C5xD4xDic3	480,813

Semidirect products G=N:Q with N=C₅×D₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄)⋊₁Dic₃ = D₂₀⋊Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out C₅×D₄	120	8	(C5xD4):1Dic3	480,312
(C₅×D₄)⋊₂Dic₃ = Dic₁₀⋊Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out C₅×D₄	120	8	(C5xD4):2Dic3	480,313
(C₅×D₄)⋊₃Dic₃ = D₄×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Out C₅×D₄	60	8	(C5xD4):3Dic3	480,1067
(C₅×D₄)⋊₄Dic₃ = D₄⋊Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×D₄	240		(C5xD4):4Dic3	480,192
(C₅×D₄)⋊₅Dic₃ = Q₈⋊₃Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×D₄	120	4	(C5xD4):5Dic3	480,197
(C₅×D₄)⋊₆Dic₃ = D₄×Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×D₄	240		(C5xD4):6Dic3	480,899
(C₅×D₄)⋊₇Dic₃ = C₅×D₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×D₄	240		(C5xD4):7Dic3	480,151
(C₅×D₄)⋊₈Dic₃ = C₅×Q₈⋊₃Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×D₄	120	4	(C5xD4):8Dic3	480,156

Non-split extensions G=N.Q with N=C₅×D₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄).Dic₃ = Dic₁₀.Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out C₅×D₄	240	8	(C5xD4).Dic3	480,1066
(C₅×D₄).₂Dic₃ = D₄.Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₅×D₄	240	4	(C5xD4).2Dic3	480,913
(C₅×D₄).₃Dic₃ = C₅×D₄.Dic₃	φ: trivial image	240	4	(C5xD4).3Dic3	480,827

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