Extensions 1→N→G→Q→1 with N=D₄.₁₀D₁₀ and Q=C₂

Direct product G=N×Q with N=D₄.₁₀D₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×D₄.₁₀D₁₀		160		C2xD4.10D10	320,1620

Semidirect products G=N:Q with N=D₄.₁₀D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁₀D₁₀⋊₁C₂ = D₄.₁₀D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	80	4	D4.10D10:1C2	320,454
D₄.₁₀D₁₀⋊₂C₂ = D₂₀.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	80	8-	D4.10D10:2C2	320,828
D₄.₁₀D₁₀⋊₃C₂ = D₄.₁₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	80	4	D4.10D10:3C2	320,1423
D₄.₁₀D₁₀⋊₄C₂ = D₄.₁₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	160	4-	D4.10D10:4C2	320,1425
D₄.₁₀D₁₀⋊₅C₂ = D₈⋊₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	80	4	D4.10D10:5C2	320,1442
D₄.₁₀D₁₀⋊₆C₂ = D₂₀.₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	160	4-	D4.10D10:6C2	320,1443
D₄.₁₀D₁₀⋊₇C₂ = D₈⋊₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	80	8-	D4.10D10:7C2	320,1447
D₄.₁₀D₁₀⋊₈C₂ = D₂₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	160	8-	D4.10D10:8C2	320,1451
D₄.₁₀D₁₀⋊₉C₂ = D₂₀.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	80	8-	D4.10D10:9C2	320,1508
D₄.₁₀D₁₀⋊₁₀C₂ = D₂₀.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	160	8-	D4.10D10:10C2	320,1510
D₄.₁₀D₁₀⋊₁₁C₂ = D₂₀.₃₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	80	8-	D4.10D10:11C2	320,1623
D₄.₁₀D₁₀⋊₁₂C₂ = D₅×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	80	8-	D4.10D10:12C2	320,1624
D₄.₁₀D₁₀⋊₁₃C₂ = C₁₀.C₂⁵	φ: trivial image	80	4	D4.10D10:13C2	320,1621

Non-split extensions G=N.Q with N=D₄.₁₀D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁₀D₁₀.₁C₂ = D₄.₉D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	80	4-	D4.10D10.1C2	320,453
D₄.₁₀D₁₀.₂C₂ = D₂₀.₄₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₀	80	8-	D4.10D10.2C2	320,832

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