Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₂₀

Direct product G=N×Q with N=Q₈ and Q=D₂₀

		d	ρ	Label	ID
Q₈×D₂₀		160		Q8xD20	320,1247

Semidirect products G=N:Q with N=Q₈ and Q=D₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁D₂₀ = Q₈⋊D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Out Q₈	160		Q8:1D20	320,654
Q₈⋊₂D₂₀ = Q₈⋊₂D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Out Q₈	160		Q8:2D20	320,433
Q₈⋊₃D₂₀ = D₂₀⋊₄D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Out Q₈	160		Q8:3D20	320,438
Q₈⋊₄D₂₀ = D₄⋊₄D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Out Q₈	40	4+	Q8:4D20	320,449
Q₈⋊₅D₂₀ = Q₈⋊₅D₂₀	φ: trivial image	160		Q8:5D20	320,1248
Q₈⋊₆D₂₀ = Q₈⋊₆D₂₀	φ: trivial image	160		Q8:6D20	320,1249

Non-split extensions G=N.Q with N=Q₈ and Q=D₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁D₂₀ = Q₈.₁D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Out Q₈	160		Q8.1D20	320,655
Q₈.₂D₂₀ = C₂₀⋊₇Q₁₆	φ: D₂₀/C₂₀ → C₂ ⊆ Out Q₈	320		Q8.2D20	320,658
Q₈.₃D₂₀ = D₄.₃D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Out Q₈	80	4	Q8.3D20	320,768
Q₈.₄D₂₀ = D₄.₄D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Out Q₈	80	4+	Q8.4D20	320,769
Q₈.₅D₂₀ = D₄.₅D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Out Q₈	160	4-	Q8.5D20	320,770
Q₈.₆D₂₀ = D₁₀⋊₄Q₁₆	φ: D₂₀/D₁₀ → C₂ ⊆ Out Q₈	160		Q8.6D20	320,435
Q₈.₇D₂₀ = Q₈.D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Out Q₈	160		Q8.7D20	320,437
Q₈.₈D₂₀ = M₄(2)⋊D₁₀	φ: D₂₀/D₁₀ → C₂ ⊆ Out Q₈	80	4	Q8.8D20	320,452
Q₈.₉D₂₀ = D₄.₉D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Out Q₈	80	4-	Q8.9D20	320,453
Q₈.₁₀D₂₀ = D₄.₁₀D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Out Q₈	80	4	Q8.10D20	320,454
Q₈.₁₁D₂₀ = D₄.₁₁D₂₀	φ: trivial image	80	4	Q8.11D20	320,1423
Q₈.₁₂D₂₀ = D₄.₁₂D₂₀	φ: trivial image	80	4+	Q8.12D20	320,1424
Q₈.₁₃D₂₀ = D₄.₁₃D₂₀	φ: trivial image	160	4-	Q8.13D20	320,1425

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