Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂xC₃₀

Direct product G=NxQ with N=Q₈ and Q=C₂xC₃₀

		d	ρ	Label	ID
Q₈xC₂xC₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=Q₈ and Q=C₂xC₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:(C₂xC₃₀) = C₂xC₁₀xSL₂(F₃)	φ: C₂xC₃₀/C₂xC₁₀ → C₃ ⊆ Out Q₈	160		Q8:(C2xC30)	480,1128
Q₈:₂(C₂xC₃₀) = SD₁₆xC₃₀	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Out Q₈	240		Q8:2(C2xC30)	480,938
Q₈:₃(C₂xC₃₀) = C₁₅xC₈:C₂²	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Out Q₈	120	4	Q8:3(C2xC30)	480,941
Q₈:₄(C₂xC₃₀) = C₄oD₄xC₃₀	φ: trivial image	240		Q8:4(C2xC30)	480,1183
Q₈:₅(C₂xC₃₀) = C₁₅x2₊¹⁺⁴	φ: trivial image	120	4	Q8:5(C2xC30)	480,1184

Non-split extensions G=N.Q with N=Q₈ and Q=C₂xC₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂xC₃₀) = C₁₀xC₄.A₄	φ: C₂xC₃₀/C₂xC₁₀ → C₃ ⊆ Out Q₈	160		Q8.1(C2xC30)	480,1130
Q₈.₂(C₂xC₃₀) = C₅xQ₈.A₄	φ: C₂xC₃₀/C₂xC₁₀ → C₃ ⊆ Out Q₈	120	4	Q8.2(C2xC30)	480,1131
Q₈.₃(C₂xC₃₀) = C₅xD₄.A₄	φ: C₂xC₃₀/C₂xC₁₀ → C₃ ⊆ Out Q₈	80	4	Q8.3(C2xC30)	480,1132
Q₈.₄(C₂xC₃₀) = Q₁₆xC₃₀	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Out Q₈	480		Q8.4(C2xC30)	480,939
Q₈.₅(C₂xC₃₀) = C₁₅xC₄oD₈	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Out Q₈	240	2	Q8.5(C2xC30)	480,940
Q₈.₆(C₂xC₃₀) = C₁₅xC₈.C₂²	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Out Q₈	240	4	Q8.6(C2xC30)	480,942
Q₈.₇(C₂xC₃₀) = C₁₅x2_-¹⁺⁴	φ: trivial image	240	4	Q8.7(C2xC30)	480,1185

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