Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=D₅

Direct product G=N×Q with N=C₅×Q₈ and Q=D₅

		d	ρ	Label	ID
C₅×Q₈×D₅		80	4	C5xQ8xD5	400,187

Semidirect products G=N:Q with N=C₅×Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊₁D₅ = C₅²⋊₁₀SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₅×Q₈	200		(C5xQ8):1D5	400,105
(C₅×Q₈)⋊₂D₅ = Q₈×C₅⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×Q₈	200		(C5xQ8):2D5	400,197
(C₅×Q₈)⋊₃D₅ = C₂₀.₂₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₅×Q₈	200		(C5xQ8):3D5	400,198
(C₅×Q₈)⋊₄D₅ = C₅×Q₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8):4D5	400,89
(C₅×Q₈)⋊₅D₅ = C₅×Q₈⋊₂D₅	φ: trivial image	80	4	(C5xQ8):5D5	400,188

Non-split extensions G=N.Q with N=C₅×Q₈ and Q=D₅

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

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