Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈.₁₄D₆

Direct product G=N×Q with N=C₅ and Q=Q₈.₁₄D₆

		d	ρ	Label	ID
C₅×Q₈.₁₄D₆		240	4	C5xQ8.14D6	480,830

Semidirect products G=N:Q with N=C₅ and Q=Q₈.₁₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈.₁₄D₆) = C₆₀.₆₃D₄	φ: Q₈.₁₄D₆/C₄.Dic₃ → C₂ ⊆ Aut C₅	240	4-	C5:1(Q8.14D6)	480,389
C₅⋊₂(Q₈.₁₄D₆) = C₆₀.₈C₂³	φ: Q₈.₁₄D₆/D₄.S₃ → C₂ ⊆ Aut C₅	240	8-	C5:2(Q8.14D6)	480,560
C₅⋊₃(Q₈.₁₄D₆) = D₂₀.₁₃D₆	φ: Q₈.₁₄D₆/C₃⋊Q₁₆ → C₂ ⊆ Aut C₅	240	8-	C5:3(Q8.14D6)	480,584
C₅⋊₄(Q₈.₁₄D₆) = D₂₀.₃₇D₆	φ: Q₈.₁₄D₆/C₂×Dic₆ → C₂ ⊆ Aut C₅	240	4	C5:4(Q8.14D6)	480,383
C₅⋊₅(Q₈.₁₄D₆) = D₄.₉D₃₀	φ: Q₈.₁₄D₆/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	240	4-	C5:5(Q8.14D6)	480,916

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