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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈×D₅) = Dic₁₀⋊D₅	φ: Q₈×D₅/Dic₁₀ → C₂ ⊆ Aut C₅	40	4	C5:1(Q8xD5)	400,166
C₅⋊₂(Q₈×D₅) = D₅×Dic₁₀	φ: Q₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₅	80	4-	C5:2(Q8xD5)	400,163
C₅⋊₃(Q₈×D₅) = Q₈×C₅⋊D₅	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₅	200		C5:3(Q8xD5)	400,197

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(Q₈×D₅) = Q₈×D₂₅	φ: Q₈×D₅/C₅×Q₈ → C₂ ⊆ Aut C₅	200	4-	C5.(Q8xD5)	400,41

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