Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈.₁₅D₆

Direct product G=N×Q with N=C₅ and Q=Q₈.₁₅D₆

		d	ρ	Label	ID
C₅×Q₈.₁₅D₆		240	4	C5xQ8.15D6	480,1159

Semidirect products G=N:Q with N=C₅ and Q=Q₈.₁₅D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈.₁₅D₆) = C₃₀.C₂⁴	φ: Q₈.₁₅D₆/C₄○D₁₂ → C₂ ⊆ Aut C₅	240	4	C5:1(Q8.15D6)	480,1080
C₅⋊₂(Q₈.₁₅D₆) = C₃₀.₃₃C₂⁴	φ: Q₈.₁₅D₆/S₃×Q₈ → C₂ ⊆ Aut C₅	240	8+	C5:2(Q8.15D6)	480,1105
C₅⋊₃(Q₈.₁₅D₆) = D₁₂.₂₉D₁₀	φ: Q₈.₁₅D₆/Q₈⋊₃S₃ → C₂ ⊆ Aut C₅	240	8-	C5:3(Q8.15D6)	480,1106
C₅⋊₄(Q₈.₁₅D₆) = Q₈.₁₅D₃₀	φ: Q₈.₁₅D₆/C₆×Q₈ → C₂ ⊆ Aut C₅	240	4	C5:4(Q8.15D6)	480,1174

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁