Extensions 1→N→G→Q→1 with N=Q₈.D₁₀ and Q=C₂

Direct product G=N×Q with N=Q₈.D₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈.D₁₀		160		C2xQ8.D10	320,1437

Semidirect products G=N:Q with N=Q₈.D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.D₁₀⋊₁C₂ = D₄₀⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	80	8+	Q8.D10:1C2	320,1449
Q₈.D₁₀⋊₂C₂ = C₄₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	80	8+	Q8.D10:2C2	320,1450
Q₈.D₁₀⋊₃C₂ = C₁₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	80	4+	Q8.D10:3C2	320,541
Q₈.D₁₀⋊₄C₂ = SD₃₂⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	160	4	Q8.D10:4C2	320,543
Q₈.D₁₀⋊₅C₂ = D₈₀⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	160	4+	Q8.D10:5C2	320,546
Q₈.D₁₀⋊₆C₂ = D₂₀.₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	160	4	Q8.D10:6C2	320,1438
Q₈.D₁₀⋊₇C₂ = D₈⋊₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	80	4+	Q8.D10:7C2	320,1441
Q₈.D₁₀⋊₈C₂ = D₅×C₄○D₈	φ: trivial image	80	4	Q8.D10:8C2	320,1439

Non-split extensions G=N.Q with N=Q₈.D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.D₁₀.₁C₂ = Q₃₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	160	4	Q8.D10.1C2	320,545
Q₈.D₁₀.₂C₂ = D₄₀⋊₁C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	80	8+	Q8.D10.2C2	320,245
Q₈.D₁₀.₃C₂ = Q₁₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	80	8+	Q8.D10.3C2	320,1079
Q₈.D₁₀.₄C₂ = Q₁₆.F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	160	8+	Q8.D10.4C2	320,247
Q₈.D₁₀.₅C₂ = Q₁₆⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈.D₁₀	80	8+	Q8.D10.5C2	320,1078

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