Extensions 1→N→G→Q→1 with N=D₂₀ and Q=C₈

Direct product G=N×Q with N=D₂₀ and Q=C₈

		d	ρ	Label	ID
C₈×D₂₀		160		C8xD20	320,313

Semidirect products G=N:Q with N=D₂₀ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₁C₈ = D₂₀⋊C₈	φ: C₈/C₂ → C₄ ⊆ Out D₂₀	160		D20:1C8	320,209
D₂₀⋊₂C₈ = D₂₀⋊₂C₈	φ: C₈/C₂ → C₄ ⊆ Out D₂₀	160		D20:2C8	320,1040
D₂₀⋊₃C₈ = D₂₀⋊₃C₈	φ: C₈/C₄ → C₂ ⊆ Out D₂₀	160		D20:3C8	320,17
D₂₀⋊₄C₈ = D₂₀⋊₄C₈	φ: C₈/C₄ → C₂ ⊆ Out D₂₀	160		D20:4C8	320,41
D₂₀⋊₅C₈ = D₂₀⋊₅C₈	φ: C₈/C₄ → C₂ ⊆ Out D₂₀	160		D20:5C8	320,461

Non-split extensions G=N.Q with N=D₂₀ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₁C₈ = D₂₀.C₈	φ: C₈/C₂ → C₄ ⊆ Out D₂₀	160	8	D20.1C8	320,236
D₂₀.₂C₈ = Dic₁₀.C₈	φ: C₈/C₂ → C₄ ⊆ Out D₂₀	160	8	D20.2C8	320,1063
D₂₀.₃C₈ = D₂₀.₃C₈	φ: C₈/C₄ → C₂ ⊆ Out D₂₀	160	2	D20.3C8	320,66
D₂₀.₄C₈ = D₂₀.₄C₈	φ: C₈/C₄ → C₂ ⊆ Out D₂₀	160	4	D20.4C8	320,73
D₂₀.₅C₈ = D₂₀.₅C₈	φ: C₈/C₄ → C₂ ⊆ Out D₂₀	160	4	D20.5C8	320,534
D₂₀.₆C₈ = D₂₀.₆C₈	φ: trivial image	160	2	D20.6C8	320,528

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