Extensions 1→N→G→Q→1 with N=Q₈×D₅ and Q=C₂

Direct product G=N×Q with N=Q₈×D₅ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈×D₅		80		C2xQ8xD5	160,220

Semidirect products G=N:Q with N=Q₈×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₅)⋊₁C₂ = D₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₅	40	4	(Q8xD5):1C2	160,134
(Q₈×D₅)⋊₂C₂ = SD₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₅	80	4-	(Q8xD5):2C2	160,136
(Q₈×D₅)⋊₃C₂ = Q₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₅	80	4	(Q8xD5):3C2	160,139
(Q₈×D₅)⋊₄C₂ = Q₈.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₅	80	4	(Q8xD5):4C2	160,222
(Q₈×D₅)⋊₅C₂ = D₄.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₅	80	4-	(Q8xD5):5C2	160,225
(Q₈×D₅)⋊₆C₂ = D₅×C₄○D₄	φ: trivial image	40	4	(Q8xD5):6C2	160,223

Non-split extensions G=N.Q with N=Q₈×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₅).₁C₂ = D₅×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₅	80	4-	(Q8xD5).1C2	160,138
(Q₈×D₅).₂C₂ = Q₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₅	40	8-	(Q8xD5).2C2	160,84
(Q₈×D₅).₃C₂ = Q₈×F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₅	40	8-	(Q8xD5).3C2	160,209

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