Extensions 1→N→G→Q→1 with N=Q₈.₁₀D₁₀ and Q=C₂

Direct product G=N×Q with N=Q₈.₁₀D₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈.₁₀D₁₀		160		C2xQ8.10D10	320,1617

Semidirect products G=N:Q with N=Q₈.₁₀D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁₀D₁₀⋊₁C₂ = D₂₀.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₀	80	8+	Q8.10D10:1C2	320,380
Q₈.₁₀D₁₀⋊₂C₂ = D₂₀.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₀	80	4	Q8.10D10:2C2	320,689
Q₈.₁₀D₁₀⋊₃C₂ = D₂₀.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₀	80	4	Q8.10D10:3C2	320,1434
Q₈.₁₀D₁₀⋊₄C₂ = D₂₀.₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₀	160	4	Q8.10D10:4C2	320,1438
Q₈.₁₀D₁₀⋊₅C₂ = C₄₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₀	80	8+	Q8.10D10:5C2	320,1450
Q₈.₁₀D₁₀⋊₆C₂ = D₂₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₀	160	8-	Q8.10D10:6C2	320,1451
Q₈.₁₀D₁₀⋊₇C₂ = D₅×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₀	80	8-	Q8.10D10:7C2	320,1624
Q₈.₁₀D₁₀⋊₈C₂ = D₂₀.₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₀	80	8+	Q8.10D10:8C2	320,1625
Q₈.₁₀D₁₀⋊₉C₂ = C₁₀.C₂⁵	φ: trivial image	80	4	Q8.10D10:9C2	320,1621

Non-split extensions G=N.Q with N=Q₈.₁₀D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁₀D₁₀.₁C₂ = D₂₀.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₀	80	8-	Q8.10D10.1C2	320,379
Q₈.₁₀D₁₀.₂C₂ = D₂₀.₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₀	80	4	Q8.10D10.2C2	320,722

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