Extensions 1→N→G→Q→1 with N=D₅⋊C₈ and Q=C₂

Direct product G=N×Q with N=D₅⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₅⋊C₈		80		C2xD5:C8	160,200

Semidirect products G=N:Q with N=D₅⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊C₈⋊₁C₂ = D₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₈	40	8+	D5:C8:1C2	160,82
D₅⋊C₈⋊₂C₂ = D₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₈	80	8-	D5:C8:2C2	160,206
D₅⋊C₈⋊₃C₂ = Q₈.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₈	80	8+	D5:C8:3C2	160,208
D₅⋊C₈⋊₄C₂ = D₅⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₈	40	4	D5:C8:4C2	160,202

Non-split extensions G=N.Q with N=D₅⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊C₈.₁C₂ = Q₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₈	40	8-	D5:C8.1C2	160,84
D₅⋊C₈.₂C₂ = C₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₈	40	4	D5:C8.2C2	160,67
D₅⋊C₈.₃C₂ = C₈×F₅	φ: trivial image	40	4	D5:C8.3C2	160,66

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