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	320,1465

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₁₀⋊₁C₂ = D₂₀.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	80	8+	D4.D10:1C2	320,376
D₄.D₁₀⋊₂C₂ = D₂₀.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	80	4	D4.D10:2C2	320,689
D₄.D₁₀⋊₃C₂ = D₂₀⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	40	4	D4.D10:3C2	320,704
D₄.D₁₀⋊₄C₂ = C₄₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	80	4	D4.D10:4C2	320,787
D₄.D₁₀⋊₅C₂ = D₂₀⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	40	8+	D4.D10:5C2	320,825
D₄.D₁₀⋊₆C₂ = D₂₀.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	80	8-	D4.D10:6C2	320,828
D₄.D₁₀⋊₇C₂ = D₈⋊₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	80	4	D4.D10:7C2	320,1429
D₄.D₁₀⋊₈C₂ = D₂₀.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	80	4	D4.D10:8C2	320,1434
D₄.D₁₀⋊₉C₂ = D₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	40	8+	D4.D10:9C2	320,1444
D₄.D₁₀⋊₁₀C₂ = SD₁₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	80	8-	D4.D10:10C2	320,1445
D₄.D₁₀⋊₁₁C₂ = D₂₀.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	80	8+	D4.D10:11C2	320,1507
D₄.D₁₀⋊₁₂C₂ = D₂₀.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	80	8-	D4.D10:12C2	320,1508
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 = D₂₀.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	80	8-	D4.D10.1C2	320,375
D₄.D₁₀.₂C₂ = C₄₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₁₀	80	4	D4.D10.2C2	320,804

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