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
C₅×C₈⋊D₅		80	2	C5xC8:D5	400,77

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.F₅	φ: C₈⋊D₅/Dic₅ → C₄ ⊆ Aut C₅	40	8+	C5:1(C8:D5)	400,123
C₅⋊₂(C₈⋊D₅) = D₁₀.F₅	φ: C₈⋊D₅/D₁₀ → C₄ ⊆ Aut C₅	80	8-	C5:2(C8:D5)	400,122
C₅⋊₃(C₈⋊D₅) = C₂₀.₃₁D₁₀	φ: C₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₅	40	4	C5:3(C8:D5)	400,63
C₅⋊₄(C₈⋊D₅) = C₄₀⋊D₅	φ: C₈⋊D₅/C₄₀ → C₂ ⊆ Aut C₅	200		C5:4(C8:D5)	400,93
C₅⋊₅(C₈⋊D₅) = C₂₀.₃₀D₁₀	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₅	80	4	C5:5(C8:D5)	400,62

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.(C8:D5)	400,6

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