Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈×D₅

Direct product G=N×Q with N=C₅ and Q=C₈×D₅

		d	ρ	Label	ID
D₅×C₄₀		80	2	D5xC40	400,76

Semidirect products G=N:Q with N=C₅ and Q=C₈×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈×D₅) = Dic₅.₄F₅	φ: C₈×D₅/Dic₅ → C₄ ⊆ Aut C₅	40	8+	C5:1(C8xD5)	400,121
C₅⋊₂(C₈×D₅) = D₅×C₅⋊C₈	φ: C₈×D₅/D₁₀ → C₄ ⊆ Aut C₅	80	8-	C5:2(C8xD5)	400,120
C₅⋊₃(C₈×D₅) = C₂₀.₂₉D₁₀	φ: C₈×D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₅	40	4	C5:3(C8xD5)	400,61
C₅⋊₄(C₈×D₅) = C₈×C₅⋊D₅	φ: C₈×D₅/C₄₀ → C₂ ⊆ Aut C₅	200		C5:4(C8xD5)	400,92
C₅⋊₅(C₈×D₅) = D₅×C₅⋊₂C₈	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₅	80	4	C5:5(C8xD5)	400,60

Non-split extensions G=N.Q with N=C₅ and Q=C₈×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₈×D₅) = C₈×D₂₅	φ: C₈×D₅/C₄₀ → C₂ ⊆ Aut C₅	200	2	C5.(C8xD5)	400,5

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