Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈○D₁₂

Direct product G=N×Q with N=C₅ and Q=Q₈○D₁₂

		d	ρ	Label	ID
C₅×Q₈○D₁₂		240	4	C5xQ8oD12	480,1162

Semidirect products G=N:Q with N=C₅ and Q=Q₈○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈○D₁₂) = D₂₀.₃₈D₆	φ: Q₈○D₁₂/C₂×Dic₆ → C₂ ⊆ Aut C₅	240	4	C5:1(Q8oD12)	480,1076
C₅⋊₂(Q₈○D₁₂) = D₂₀.₃₉D₆	φ: Q₈○D₁₂/C₄○D₁₂ → C₂ ⊆ Aut C₅	240	4-	C5:2(Q8oD12)	480,1077
C₅⋊₃(Q₈○D₁₂) = C₁₅⋊2_-¹⁺⁴	φ: Q₈○D₁₂/D₄⋊₂S₃ → C₂ ⊆ Aut C₅	240	8-	C5:3(Q8oD12)	480,1096
C₅⋊₄(Q₈○D₁₂) = D₂₀.₂₉D₆	φ: Q₈○D₁₂/S₃×Q₈ → C₂ ⊆ Aut C₅	240	8-	C5:4(Q8oD12)	480,1104
C₅⋊₅(Q₈○D₁₂) = D₄.₁₀D₃₀	φ: Q₈○D₁₂/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	240	4-	C5:5(Q8oD12)	480,1177

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