Extensions 1→N→G→Q→1 with N=C₅xQ₈ and Q=D₅

Direct product G=NxQ with N=C₅xQ₈ and Q=D₅

		d	ρ	Label	ID
C₅xQ₈xD₅		80	4	C5xQ8xD5	400,187

Semidirect products G=N:Q with N=C₅xQ₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xQ₈):₁D₅ = C₅²:₁₀SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₅xQ₈	200		(C5xQ8):1D5	400,105
(C₅xQ₈):₂D₅ = Q₈xC₅:D₅	φ: D₅/C₅ → C₂ ⊆ Out C₅xQ₈	200		(C5xQ8):2D5	400,197
(C₅xQ₈):₃D₅ = C₂₀.₂₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₅xQ₈	200		(C5xQ8):3D5	400,198
(C₅xQ₈):₄D₅ = C₅xQ₈:D₅	φ: D₅/C₅ → C₂ ⊆ Out C₅xQ₈	80	4	(C5xQ8):4D5	400,89
(C₅xQ₈):₅D₅ = C₅xQ₈:₂D₅	φ: trivial image	80	4	(C5xQ8):5D5	400,188

Non-split extensions G=N.Q with N=C₅xQ₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xQ₈).₁D₅ = C₂₅:Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₅xQ₈	400	4-	(C5xQ8).1D5	400,17
(C₅xQ₈).₂D₅ = Q₈:D₂₅	φ: D₅/C₅ → C₂ ⊆ Out C₅xQ₈	200	4+	(C5xQ8).2D5	400,18
(C₅xQ₈).₃D₅ = Q₈xD₂₅	φ: D₅/C₅ → C₂ ⊆ Out C₅xQ₈	200	4-	(C5xQ8).3D5	400,41
(C₅xQ₈).₄D₅ = Q₈:₂D₂₅	φ: D₅/C₅ → C₂ ⊆ Out C₅xQ₈	200	4+	(C5xQ8).4D5	400,42
(C₅xQ₈).₅D₅ = C₅²:₇Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₅xQ₈	400		(C5xQ8).5D5	400,106
(C₅xQ₈).₆D₅ = C₅xC₅:Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₅xQ₈	80	4	(C5xQ8).6D5	400,90

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