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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈×C₁₀) = C₁₀×Dic₁₀	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₅	80		C5:1(Q8xC10)	400,181
C₅⋊₂(Q₈×C₁₀) = C₅×Q₈×D₅	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₅	80	4	C5:2(Q8xC10)	400,187

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(Q₈×C₁₀) = Q₈×C₅₀	central extension (φ=1)	400		C5.(Q8xC10)	400,47

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