Extensions 1→N→G→Q→1 with N=D₂₀ and Q=C₄

Direct product G=N×Q with N=D₂₀ and Q=C₄

		d	ρ	Label	ID
C₄×D₂₀		80		C4xD20	160,94

Semidirect products G=N:Q with N=D₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₁C₄ = D₂₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₂₀	40	8+	D20:1C4	160,82
D₂₀⋊₂C₄ = Q₈⋊₂F₅	φ: C₄/C₁ → C₄ ⊆ Out D₂₀	40	8+	D20:2C4	160,85
D₂₀⋊₃C₄ = D₄×F₅	φ: C₄/C₁ → C₄ ⊆ Out D₂₀	20	8+	D20:3C4	160,207
D₂₀⋊₄C₄ = D₂₀⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out D₂₀	40	2	D20:4C4	160,12
D₂₀⋊₅C₄ = D₂₀⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Out D₂₀	80		D20:5C4	160,28
D₂₀⋊₆C₄ = D₂₀⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out D₂₀	80		D20:6C4	160,16
D₂₀⋊₇C₄ = D₂₀⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out D₂₀	40	4	D20:7C4	160,32
D₂₀⋊₈C₄ = D₂₀⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out D₂₀	80		D20:8C4	160,114

Non-split extensions G=N.Q with N=D₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.C₄ = Q₈.F₅	φ: C₄/C₁ → C₄ ⊆ Out D₂₀	80	8+	D20.C4	160,208
D₂₀.₂C₄ = D₂₀.₂C₄	φ: C₄/C₂ → C₂ ⊆ Out D₂₀	80	4	D20.2C4	160,128
D₂₀.₃C₄ = D₂₀.₃C₄	φ: trivial image	80	2	D20.3C4	160,122

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