Extensions 1→N→G→Q→1 with N=C₄xD₅ and Q=D₅

Direct product G=NxQ with N=C₄xD₅ and Q=D₅

		d	ρ	Label	ID
C₄xD₅²		40	4	C4xD5^2	400,169

Semidirect products G=N:Q with N=C₄xD₅ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₅):₁D₅ = D₂₀:₅D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄xD₅	80	4-	(C4xD5):1D5	400,164
(C₄xD₅):₂D₅ = Dic₁₀:₅D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄xD₅	40	4+	(C4xD5):2D5	400,168
(C₄xD₅):₃D₅ = D₅xD₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄xD₅	40	4+	(C4xD5):3D5	400,170
(C₄xD₅):₄D₅ = D₁₀.₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄xD₅	40	4	(C4xD5):4D5	400,167

Non-split extensions G=N.Q with N=C₄xD₅ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₅).₁D₅ = D₅xDic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄xD₅	80	4-	(C4xD5).1D5	400,163
(C₄xD₅).₂D₅ = C₂₀.₃₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄xD₅	80	4	(C4xD5).2D5	400,62
(C₄xD₅).₃D₅ = C₂₀.₁₂F₅	φ: D₅/C₅ → C₂ ⊆ Out C₄xD₅	80	4	(C4xD5).3D5	400,143
(C₄xD₅).₄D₅ = C₂₀:₅F₅	φ: D₅/C₅ → C₂ ⊆ Out C₄xD₅	80	4	(C4xD5).4D5	400,145
(C₄xD₅).₅D₅ = C₂₀.₁₄F₅	φ: D₅/C₅ → C₂ ⊆ Out C₄xD₅	80	4	(C4xD5).5D5	400,142
(C₄xD₅).₆D₅ = C₄xD₅.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄xD₅	80	4	(C4xD5).6D5	400,144
(C₄xD₅).₇D₅ = D₅xC₅:₂C₈	φ: trivial image	80	4	(C4xD5).7D5	400,60

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