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		160		C2xD4.8D10	320,1493

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₈D₁₀⋊₁C₂ = D₅×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	4	D4.8D10:1C2	320,1439
D₄.₈D₁₀⋊₂C₂ = Q₁₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	4	D4.8D10:2C2	320,1440
D₄.₈D₁₀⋊₃C₂ = D₈⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	8+	D4.8D10:3C2	320,1446
D₄.₈D₁₀⋊₄C₂ = D₈⋊₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	8-	D4.8D10:4C2	320,1447
D₄.₈D₁₀⋊₅C₂ = C₄₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	8+	D4.8D10:5C2	320,1450
D₄.₈D₁₀⋊₆C₂ = D₂₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	160	8-	D4.8D10:6C2	320,1451
D₄.₈D₁₀⋊₇C₂ = C₂₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	4	D4.8D10:7C2	320,1494
D₄.₈D₁₀⋊₈C₂ = D₂₀.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	8+	D4.8D10:8C2	320,1507
D₄.₈D₁₀⋊₉C₂ = D₂₀.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	8-	D4.8D10:9C2	320,1508
D₄.₈D₁₀⋊₁₀C₂ = D₂₀.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	8+	D4.8D10:10C2	320,1509
D₄.₈D₁₀⋊₁₁C₂ = D₂₀.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	160	8-	D4.8D10:11C2	320,1510

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).₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	4	D4.8D10.1C2	320,450
D₄.₈D₁₀.₂C₂ = C₄².₁₉₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	4	D4.8D10.2C2	320,451
D₄.₈D₁₀.₃C₂ = C₄₀.₅₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₀	80	4	D4.8D10.3C2	320,772
D₄.₈D₁₀.₄C₂ = C₄₀.₉₃D₄	φ: trivial image	80	4	D4.8D10.4C2	320,771

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