Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×C₃₀

Direct product G=N×Q with N=Q₈ and Q=C₂×C₃₀

		d	ρ	Label	ID
Q₈×C₂×C₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=Q₈ and Q=C₂×C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₂×C₃₀) = C₂×C₁₀×SL₂(𝔽₃)	φ: C₂×C₃₀/C₂×C₁₀ → C₃ ⊆ Out Q₈	160		Q8:(C2xC30)	480,1128
Q₈⋊₂(C₂×C₃₀) = SD₁₆×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Out Q₈	240		Q8:2(C2xC30)	480,938
Q₈⋊₃(C₂×C₃₀) = C₁₅×C₈⋊C₂²	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Out Q₈	120	4	Q8:3(C2xC30)	480,941
Q₈⋊₄(C₂×C₃₀) = C₄○D₄×C₃₀	φ: trivial image	240		Q8:4(C2xC30)	480,1183
Q₈⋊₅(C₂×C₃₀) = C₁₅×2₊¹⁺⁴	φ: trivial image	120	4	Q8:5(C2xC30)	480,1184

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×C₃₀) = C₁₀×C₄.A₄	φ: C₂×C₃₀/C₂×C₁₀ → C₃ ⊆ Out Q₈	160		Q8.1(C2xC30)	480,1130
Q₈.₂(C₂×C₃₀) = C₅×Q₈.A₄	φ: C₂×C₃₀/C₂×C₁₀ → C₃ ⊆ Out Q₈	120	4	Q8.2(C2xC30)	480,1131
Q₈.₃(C₂×C₃₀) = C₅×D₄.A₄	φ: C₂×C₃₀/C₂×C₁₀ → C₃ ⊆ Out Q₈	80	4	Q8.3(C2xC30)	480,1132
Q₈.₄(C₂×C₃₀) = Q₁₆×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Out Q₈	480		Q8.4(C2xC30)	480,939
Q₈.₅(C₂×C₃₀) = C₁₅×C₄○D₈	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Out Q₈	240	2	Q8.5(C2xC30)	480,940
Q₈.₆(C₂×C₃₀) = C₁₅×C₈.C₂²	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Out Q₈	240	4	Q8.6(C2xC30)	480,942
Q₈.₇(C₂×C₃₀) = C₁₅×2_-¹⁺⁴	φ: trivial image	240	4	Q8.7(C2xC30)	480,1185

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