Extensions 1→N→G→Q→1 with N=Q₈⋊₂D₅ and Q=C₂

Direct product G=N×Q with N=Q₈⋊₂D₅ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈⋊₂D₅		80		C2xQ8:2D5	160,221

Semidirect products G=N:Q with N=Q₈⋊₂D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₅⋊₁C₂ = D₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₅	40	4+	Q8:2D5:1C2	160,135
Q₈⋊₂D₅⋊₂C₂ = SD₁₆⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₅	80	4	Q8:2D5:2C2	160,137
Q₈⋊₂D₅⋊₃C₂ = Q₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₅	80	4+	Q8:2D5:3C2	160,140
Q₈⋊₂D₅⋊₄C₂ = Q₈.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₅	80	4	Q8:2D5:4C2	160,222
Q₈⋊₂D₅⋊₅C₂ = D₄⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₅	40	4+	Q8:2D5:5C2	160,224
Q₈⋊₂D₅⋊₆C₂ = D₅×C₄○D₄	φ: trivial image	40	4	Q8:2D5:6C2	160,223

Non-split extensions G=N.Q with N=Q₈⋊₂D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₅.₁C₂ = Q₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₅	80	4	Q8:2D5.1C2	160,139
Q₈⋊₂D₅.₂C₂ = Q₈⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₅	40	8+	Q8:2D5.2C2	160,85
Q₈⋊₂D₅.₃C₂ = Q₈.F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₅	80	8+	Q8:2D5.3C2	160,208

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