Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈.₁₃D₆

Direct product G=N×Q with N=C₅ and Q=Q₈.₁₃D₆

		d	ρ	Label	ID
C₅×Q₈.₁₃D₆		240	4	C5xQ8.13D6	480,829

Semidirect products G=N:Q with N=C₅ and Q=Q₈.₁₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈.₁₃D₆) = D₂₀.₃₁D₆	φ: Q₈.₁₃D₆/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	240	4	C5:1(Q8.13D6)	480,387
C₅⋊₂(Q₈.₁₃D₆) = D₁₂.₂₄D₁₀	φ: Q₈.₁₃D₆/D₄⋊S₃ → C₂ ⊆ Aut C₅	240	8-	C5:2(Q8.13D6)	480,566
C₅⋊₃(Q₈.₁₃D₆) = C₆₀.₁₆C₂³	φ: Q₈.₁₃D₆/D₄.S₃ → C₂ ⊆ Aut C₅	240	8+	C5:3(Q8.13D6)	480,568
C₅⋊₄(Q₈.₁₃D₆) = D₂₀.₁₄D₆	φ: Q₈.₁₃D₆/Q₈⋊₂S₃ → C₂ ⊆ Aut C₅	240	8-	C5:4(Q8.13D6)	480,590
C₅⋊₅(Q₈.₁₃D₆) = D₂₀.D₆	φ: Q₈.₁₃D₆/C₃⋊Q₁₆ → C₂ ⊆ Aut C₅	240	8+	C5:5(Q8.13D6)	480,592
C₅⋊₆(Q₈.₁₃D₆) = D₂₀.₃₄D₆	φ: Q₈.₁₃D₆/C₄○D₁₂ → C₂ ⊆ Aut C₅	240	4	C5:6(Q8.13D6)	480,373
C₅⋊₇(Q₈.₁₃D₆) = D₄.₈D₃₀	φ: Q₈.₁₃D₆/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	240	4	C5:7(Q8.13D6)	480,915

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