Extensions 1→N→G→Q→1 with N=C₅×D₅ and Q=D₄

Direct product G=N×Q with N=C₅×D₅ and Q=D₄

		d	ρ	Label	ID
C₅×D₄×D₅		40	4	C5xD4xD5	400,185

Semidirect products G=N:Q with N=C₅×D₅ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅)⋊₁D₄ = D₅×D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×D₅	40	4+	(C5xD5):1D4	400,170
(C₅×D₅)⋊₂D₄ = D₅×C₅⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×D₅	40	4	(C5xD5):2D4	400,179

Non-split extensions G=N.Q with N=C₅×D₅ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅).₁D₄ = D₅.D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×D₅	40	8+	(C5xD5).1D4	400,118
(C₅×D₅).₂D₄ = D₅.Dic₁₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×D₅	80	8-	(C5xD5).2D4	400,119
(C₅×D₅).₃D₄ = C₅×C₄⋊F₅	φ: D₄/C₄ → C₂ ⊆ Out C₅×D₅	80	4	(C5xD5).3D4	400,138
(C₅×D₅).₄D₄ = C₂₀⋊₅F₅	φ: D₄/C₄ → C₂ ⊆ Out C₅×D₅	80	4	(C5xD5).4D4	400,145
(C₅×D₅).₅D₄ = C₅×C₂²⋊F₅	φ: D₄/C₂² → C₂ ⊆ Out C₅×D₅	40	4	(C5xD5).5D4	400,141
(C₅×D₅).₆D₄ = D₁₀.D₁₀	φ: D₄/C₂² → C₂ ⊆ Out C₅×D₅	40	4	(C5xD5).6D4	400,148

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