Extensions 1→N→G→Q→1 with N=C₅×D₄ and Q=C₄

Direct product G=N×Q with N=C₅×D₄ and Q=C₄

		d	ρ	Label	ID
D₄×C₂₀		80		D4xC20	160,179

Semidirect products G=N:Q with N=C₅×D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄)⋊₁C₄ = D₂₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₄	40	8+	(C5xD4):1C4	160,82
(C₅×D₄)⋊₂C₄ = D₄⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₄	40	8-	(C5xD4):2C4	160,83
(C₅×D₄)⋊₃C₄ = D₄×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₄	20	8+	(C5xD4):3C4	160,207
(C₅×D₄)⋊₄C₄ = D₄⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₄	80		(C5xD4):4C4	160,39
(C₅×D₄)⋊₅C₄ = D₄⋊₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₄	40	4	(C5xD4):5C4	160,44
(C₅×D₄)⋊₆C₄ = D₄×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₄	80		(C5xD4):6C4	160,155
(C₅×D₄)⋊₇C₄ = C₅×D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₄	80		(C5xD4):7C4	160,52
(C₅×D₄)⋊₈C₄ = C₅×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₄	40	2	(C5xD4):8C4	160,54

Non-split extensions G=N.Q with N=C₅×D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄).C₄ = D₄.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×D₄	80	8-	(C5xD4).C4	160,206
(C₅×D₄).₂C₄ = D₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×D₄	80	4	(C5xD4).2C4	160,169
(C₅×D₄).₃C₄ = C₅×C₈○D₄	φ: trivial image	80	2	(C5xD4).3C4	160,192

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