Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=C₄

Direct product G=N×Q with N=C₅×Q₈ and Q=C₄

		d	ρ	Label	ID
Q₈×C₂₀		160		Q8xC20	160,180

Semidirect products G=N:Q with N=C₅×Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊₁C₄ = Q₈⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Q₈	40	8-	(C5xQ8):1C4	160,84
(C₅×Q₈)⋊₂C₄ = Q₈⋊₂F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Q₈	40	8+	(C5xQ8):2C4	160,85
(C₅×Q₈)⋊₃C₄ = Q₈×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Q₈	40	8-	(C5xQ8):3C4	160,209
(C₅×Q₈)⋊₄C₄ = Q₈⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):4C4	160,42
(C₅×Q₈)⋊₅C₄ = D₄⋊₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Q₈	40	4	(C5xQ8):5C4	160,44
(C₅×Q₈)⋊₆C₄ = Q₈×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):6C4	160,166
(C₅×Q₈)⋊₇C₄ = C₅×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):7C4	160,53
(C₅×Q₈)⋊₈C₄ = C₅×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₅×Q₈	40	2	(C5xQ8):8C4	160,54

Non-split extensions G=N.Q with N=C₅×Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈).C₄ = Q₈.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Q₈	80	8+	(C5xQ8).C4	160,208
(C₅×Q₈).₂C₄ = D₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).2C4	160,169
(C₅×Q₈).₃C₄ = C₅×C₈○D₄	φ: trivial image	80	2	(C5xQ8).3C4	160,192

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