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	C5xQ8:D5	400,89

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) = C₅²⋊₄SD₁₆	φ: Q₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₅	40	4+	C5:1(Q8:D5)	400,68
C₅⋊₂(Q₈⋊D₅) = D₂₀.D₅	φ: Q₈⋊D₅/D₂₀ → C₂ ⊆ Aut C₅	80	4	C5:2(Q8:D5)	400,66
C₅⋊₃(Q₈⋊D₅) = C₅²⋊₁₀SD₁₆	φ: Q₈⋊D₅/C₅×Q₈ → C₂ ⊆ Aut C₅	200		C5:3(Q8:D5)	400,105

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.(Q8:D5)	400,18

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