Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=C₁₀

Direct product G=N×Q with N=C₅×Q₈ and Q=C₁₀

		d	ρ	Label	ID
Q₈×C₅×C₁₀		400		Q8xC5xC10	400,203

Semidirect products G=N:Q with N=C₅×Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊₁C₁₀ = C₅×Q₈⋊D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8):1C10	400,89
(C₅×Q₈)⋊₂C₁₀ = C₅×Q₈×D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8):2C10	400,187
(C₅×Q₈)⋊₃C₁₀ = C₅×Q₈⋊₂D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8):3C10	400,188
(C₅×Q₈)⋊₄C₁₀ = SD₁₆×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×Q₈	200		(C5xQ8):4C10	400,114
(C₅×Q₈)⋊₅C₁₀ = C₄○D₄×C₅²	φ: trivial image	200		(C5xQ8):5C10	400,204

Non-split extensions G=N.Q with N=C₅×Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈).₁C₁₀ = C₅×C₅⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).1C10	400,90
(C₅×Q₈).₂C₁₀ = SD₁₆×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×Q₈	200	2	(C5xQ8).2C10	400,26
(C₅×Q₈).₃C₁₀ = Q₁₆×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×Q₈	400	2	(C5xQ8).3C10	400,27
(C₅×Q₈).₄C₁₀ = Q₁₆×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Out C₅×Q₈	400		(C5xQ8).4C10	400,115
(C₅×Q₈).₅C₁₀ = Q₈×C₅₀	φ: trivial image	400		(C5xQ8).5C10	400,47
(C₅×Q₈).₆C₁₀ = C₄○D₄×C₂₅	φ: trivial image	200	2	(C5xQ8).6C10	400,48

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