Extensions 1→N→G→Q→1 with N=D₄⋊D₁₀ and Q=C₂

Direct product G=N×Q with N=D₄⋊D₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊D₁₀		80		C2xD4:D10	320,1492

Semidirect products G=N:Q with N=D₄⋊D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₁₀⋊₁C₂ = D₄⋊₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	40	4+	D4:D10:1C2	320,449
D₄⋊D₁₀⋊₂C₂ = D₄.₁₀D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	80	4	D4:D10:2C2	320,454
D₄⋊D₁₀⋊₃C₂ = D₄.₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	80	4+	D4:D10:3C2	320,769
D₄⋊D₁₀⋊₄C₂ = M₄(2).D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	80	8+	D4:D10:4C2	320,826
D₄⋊D₁₀⋊₅C₂ = 2₊¹⁺⁴⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	40	8+	D4:D10:5C2	320,868
D₄⋊D₁₀⋊₆C₂ = 2_-¹⁺⁴⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	80	8+	D4:D10:6C2	320,872
D₄⋊D₁₀⋊₇C₂ = D₈⋊₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	80	4+	D4:D10:7C2	320,1441
D₄⋊D₁₀⋊₈C₂ = D₈⋊₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	80	4	D4:D10:8C2	320,1442
D₄⋊D₁₀⋊₉C₂ = D₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	40	8+	D4:D10:9C2	320,1444
D₄⋊D₁₀⋊₁₀C₂ = D₄₀⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	80	8+	D4:D10:10C2	320,1449
D₄⋊D₁₀⋊₁₁C₂ = D₂₀.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	80	8+	D4:D10:11C2	320,1507
D₄⋊D₁₀⋊₁₂C₂ = D₂₀.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	80	8+	D4:D10:12C2	320,1509
D₄⋊D₁₀⋊₁₃C₂ = C₂₀.C₂⁴	φ: trivial image	80	4	D4:D10:13C2	320,1494

Non-split extensions G=N.Q with N=D₄⋊D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₁₀.₁C₂ = D₄.₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	80	4	D4:D10.1C2	320,768
D₄⋊D₁₀.₂C₂ = M₄(2).₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₁₀	80	8+	D4:D10.2C2	320,830

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