Extensions 1→N→G→Q→1 with N=Q₈×C₅² and Q=C₂

Direct product G=N×Q with N=Q₈×C₅² and Q=C₂

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

Semidirect products G=N:Q with N=Q₈×C₅² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₅²)⋊₁C₂ = C₅×Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₅²	80	4	(Q8xC5^2):1C2	400,89
(Q₈×C₅²)⋊₂C₂ = C₅²⋊₁₀SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₅²	200		(Q8xC5^2):2C2	400,105
(Q₈×C₅²)⋊₃C₂ = C₅×Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₅²	80	4	(Q8xC5^2):3C2	400,187
(Q₈×C₅²)⋊₄C₂ = C₅×Q₈⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₅²	80	4	(Q8xC5^2):4C2	400,188
(Q₈×C₅²)⋊₅C₂ = Q₈×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₅²	200		(Q8xC5^2):5C2	400,197
(Q₈×C₅²)⋊₆C₂ = C₂₀.₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₅²	200		(Q8xC5^2):6C2	400,198
(Q₈×C₅²)⋊₇C₂ = SD₁₆×C₅²	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₅²	200		(Q8xC5^2):7C2	400,114
(Q₈×C₅²)⋊₈C₂ = C₄○D₄×C₅²	φ: trivial image	200		(Q8xC5^2):8C2	400,204

Non-split extensions G=N.Q with N=Q₈×C₅² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₅²).₁C₂ = C₅×C₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₅²	80	4	(Q8xC5^2).1C2	400,90
(Q₈×C₅²).₂C₂ = C₅²⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₅²	400		(Q8xC5^2).2C2	400,106
(Q₈×C₅²).₃C₂ = Q₁₆×C₅²	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₅²	400		(Q8xC5^2).3C2	400,115

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