Extensions 1→N→G→Q→1 with N=D₄⋊₈D₁₀ and Q=C₂

Direct product G=N×Q with N=D₄⋊₈D₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊₈D₁₀		80		C2xD4:8D10	320,1619

Semidirect products G=N:Q with N=D₄⋊₈D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₈D₁₀⋊₁C₂ = D₄⋊₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	40	4+	D4:8D10:1C2	320,449
D₄⋊₈D₁₀⋊₂C₂ = D₂₀⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	40	8+	D4:8D10:2C2	320,825
D₄⋊₈D₁₀⋊₃C₂ = D₄.₁₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	80	4	D4:8D10:3C2	320,1423
D₄⋊₈D₁₀⋊₄C₂ = D₄.₁₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	80	4+	D4:8D10:4C2	320,1424
D₄⋊₈D₁₀⋊₅C₂ = D₈⋊₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	80	4+	D4:8D10:5C2	320,1441
D₄⋊₈D₁₀⋊₆C₂ = D₈⋊₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	80	4	D4:8D10:6C2	320,1442
D₄⋊₈D₁₀⋊₇C₂ = D₈⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	80	8+	D4:8D10:7C2	320,1446
D₄⋊₈D₁₀⋊₈C₂ = C₄₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	80	8+	D4:8D10:8C2	320,1450
D₄⋊₈D₁₀⋊₉C₂ = D₂₀.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	80	8+	D4:8D10:9C2	320,1507
D₄⋊₈D₁₀⋊₁₀C₂ = D₂₀.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	80	8+	D4:8D10:10C2	320,1509
D₄⋊₈D₁₀⋊₁₁C₂ = D₅×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	40	8+	D4:8D10:11C2	320,1622
D₄⋊₈D₁₀⋊₁₂C₂ = D₂₀.₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	80	8+	D4:8D10:12C2	320,1625
D₄⋊₈D₁₀⋊₁₃C₂ = C₁₀.C₂⁵	φ: trivial image	80	4	D4:8D10:13C2	320,1621

Non-split extensions G=N.Q with N=D₄⋊₈D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₈D₁₀.₁C₂ = M₄(2)⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	80	4	D4:8D10.1C2	320,452
D₄⋊₈D₁₀.₂C₂ = D₂₀.₃₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₀	80	8+	D4:8D10.2C2	320,829

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