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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄)⋊₁D₅ = C₅²⋊₇D₈	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₄	200		(C5xD4):1D5	400,103
(C₅×D₄)⋊₂D₅ = D₄×C₅⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₄	100		(C5xD4):2D5	400,195
(C₅×D₄)⋊₃D₅ = C₂₀.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₄	200		(C5xD4):3D5	400,196
(C₅×D₄)⋊₄D₅ = C₅×D₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₄	40	4	(C5xD4):4D5	400,87
(C₅×D₄)⋊₅D₅ = C₅×D₄⋊₂D₅	φ: trivial image	40	4	(C5xD4):5D5	400,186

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄).₁D₅ = D₄.D₂₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₄	200	4-	(C5xD4).1D5	400,15
(C₅×D₄).₂D₅ = D₄⋊D₂₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₄	200	4+	(C5xD4).2D5	400,16
(C₅×D₄).₃D₅ = D₄×D₂₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₄	100	4+	(C5xD4).3D5	400,39
(C₅×D₄).₄D₅ = D₄⋊₂D₂₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₄	200	4-	(C5xD4).4D5	400,40
(C₅×D₄).₅D₅ = C₅²⋊₈SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₄	200		(C5xD4).5D5	400,104
(C₅×D₄).₆D₅ = C₅×D₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×D₄	40	4	(C5xD4).6D5	400,88

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