Extensions 1→N→G→Q→1 with N=D₅ and Q=C₄×D₅

Direct product G=N×Q with N=D₅ and Q=C₄×D₅

		d	ρ	Label	ID
C₄×D₅²		40	4	C4xD5^2	400,169

Semidirect products G=N:Q with N=D₅ and Q=C₄×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₄×D₅) = C₂×D₅×F₅	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out D₅	40	8+	D5:(C4xD5)	400,209

Non-split extensions G=N.Q with N=D₅ and Q=C₄×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₄×D₅) = Dic₅×F₅	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out D₅	80	8-	D5.1(C4xD5)	400,117
D₅.₂(C₄×D₅) = C₄×D₅.D₅	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out D₅	80	4	D5.2(C4xD5)	400,144

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Extensions 1→N→G→Q→1 with N=D5 and Q=C4×D5