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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₁Q₈ = D₂₀⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₂₀	160		D20:1Q8	320,497
D₂₀⋊₂Q₈ = D₂₀⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₂₀	160		D20:2Q8	320,517
D₂₀⋊₃Q₈ = D₂₀⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₀	160		D20:3Q8	320,469
D₂₀⋊₄Q₈ = D₂₀⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₀	160		D20:4Q8	320,473
D₂₀⋊₅Q₈ = D₂₀⋊₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₀	160		D20:5Q8	320,711
D₂₀⋊₆Q₈ = D₂₀⋊₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₀	160		D20:6Q8	320,714
D₂₀⋊₇Q₈ = D₂₀⋊₇Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₀	160		D20:7Q8	320,1362
D₂₀⋊₈Q₈ = D₂₀⋊₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₀	160		D20:8Q8	320,1399
D₂₀⋊₉Q₈ = D₂₀⋊₉Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₀	160		D20:9Q8	320,1402
D₂₀⋊₁₀Q₈ = D₂₀⋊₁₀Q₈	φ: trivial image	160		D20:10Q8	320,1251

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₁Q₈ = D₂₀.Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₂₀	160		D20.1Q8	320,498
D₂₀.₂Q₈ = D₂₀.₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₂₀	160		D20.2Q8	320,518
D₂₀.₃Q₈ = D₂₀.₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₀	160		D20.3Q8	320,474
D₂₀.₄Q₈ = D₂₀.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₂₀	160		D20.4Q8	320,693

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