Extensions 1→N→G→Q→1 with N=Q₈×D₅ and Q=C₄

Direct product G=N×Q with N=Q₈×D₅ and Q=C₄

		d	ρ	Label	ID
C₄×Q₈×D₅		160		C4xQ8xD5	320,1243

Semidirect products G=N:Q with N=Q₈×D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₅)⋊₁C₄ = D₅×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	160		(Q8xD5):1C4	320,428
(Q₈×D₅)⋊₂C₄ = (Q₈×D₅)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	160		(Q8xD5):2C4	320,429
(Q₈×D₅)⋊₃C₄ = D₅×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	40	4	(Q8xD5):3C4	320,447
(Q₈×D₅)⋊₄C₄ = C₄²⋊D₁₀	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	80	4	(Q8xD5):4C4	320,448
(Q₈×D₅)⋊₅C₄ = C₄².₁₂₅D₁₀	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	160		(Q8xD5):5C4	320,1244
(Q₈×D₅)⋊₆C₄ = C₂×Q₈⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	80		(Q8xD5):6C4	320,1119
(Q₈×D₅)⋊₇C₄ = (C₂×Q₈)⋊₄F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	80	8-	(Q8xD5):7C4	320,1120
(Q₈×D₅)⋊₈C₄ = D₅⋊C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	40	8	(Q8xD5):8C4	320,1130
(Q₈×D₅)⋊₉C₄ = D₄⋊F₅⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	80	8	(Q8xD5):9C4	320,1133
(Q₈×D₅)⋊₁₀C₄ = C₂×Q₈×F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	80		(Q8xD5):10C4	320,1599
(Q₈×D₅)⋊₁₁C₄ = D₅.2_-¹⁺⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	80	8-	(Q8xD5):11C4	320,1600

Non-split extensions G=N.Q with N=Q₈×D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₅).₁C₄ = C₂₀.₇₂C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	80	4	(Q8xD5).1C4	320,1422
(Q₈×D₅).₂C₄ = Dic₅.₂₁C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	80	8	(Q8xD5).2C4	320,1601
(Q₈×D₅).₃C₄ = Dic₅.₂₂C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈×D₅	80	8	(Q8xD5).3C4	320,1602
(Q₈×D₅).₄C₄ = D₅×C₈○D₄	φ: trivial image	80	4	(Q8xD5).4C4	320,1421

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