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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅)⋊₁D₅ = D₂₀⋊₅D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₅	80	4-	(C4xD5):1D5	400,164
(C₄×D₅)⋊₂D₅ = Dic₁₀⋊₅D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₅	40	4+	(C4xD5):2D5	400,168
(C₄×D₅)⋊₃D₅ = D₅×D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₅	40	4+	(C4xD5):3D5	400,170
(C₄×D₅)⋊₄D₅ = D₁₀.₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₅	40	4	(C4xD5):4D5	400,167

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅).₁D₅ = D₅×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₅	80	4-	(C4xD5).1D5	400,163
(C₄×D₅).₂D₅ = C₂₀.₃₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).2D5	400,62
(C₄×D₅).₃D₅ = C₂₀.₁₂F₅	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).3D5	400,143
(C₄×D₅).₄D₅ = C₂₀⋊₅F₅	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).4D5	400,145
(C₄×D₅).₅D₅ = C₂₀.₁₄F₅	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).5D5	400,142
(C₄×D₅).₆D₅ = C₄×D₅.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).6D5	400,144
(C₄×D₅).₇D₅ = D₅×C₅⋊₂C₈	φ: trivial image	80	4	(C4xD5).7D5	400,60

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