Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₅₀

Direct product G=N×Q with N=Q₈ and Q=C₅₀

		d	ρ	Label	ID
Q₈×C₅₀		400		Q8xC50	400,47

Semidirect products G=N:Q with N=Q₈ and Q=C₅₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₅₀ = SD₁₆×C₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Out Q₈	200	2	Q8:C50	400,26
Q₈⋊₂C₅₀ = C₄○D₄×C₂₅	φ: trivial image	200	2	Q8:2C50	400,48

Non-split extensions G=N.Q with N=Q₈ and Q=C₅₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.C₅₀ = Q₁₆×C₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Out Q₈	400	2	Q8.C50	400,27

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C50