Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂xC₃₀

Direct product G=NxQ with N=D₄ and Q=C₂xC₃₀

		d	ρ	Label	ID
D₄xC₂xC₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=D₄ and Q=C₂xC₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁(C₂xC₃₀) = D₈xC₃₀	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Out D₄	240		D4:1(C2xC30)	480,937
D₄:₂(C₂xC₃₀) = C₁₅xC₈:C₂²	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Out D₄	120	4	D4:2(C2xC30)	480,941
D₄:₃(C₂xC₃₀) = C₄oD₄xC₃₀	φ: trivial image	240		D4:3(C2xC30)	480,1183
D₄:₄(C₂xC₃₀) = C₁₅x2₊¹⁺⁴	φ: trivial image	120	4	D4:4(C2xC30)	480,1184

Non-split extensions G=N.Q with N=D₄ and Q=C₂xC₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂xC₃₀) = SD₁₆xC₃₀	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Out D₄	240		D4.1(C2xC30)	480,938
D₄.₂(C₂xC₃₀) = C₁₅xC₄oD₈	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Out D₄	240	2	D4.2(C2xC30)	480,940
D₄.₃(C₂xC₃₀) = C₁₅xC₈.C₂²	φ: C₂xC₃₀/C₃₀ → C₂ ⊆ Out D₄	240	4	D4.3(C2xC30)	480,942
D₄.₄(C₂xC₃₀) = C₁₅x2_-¹⁺⁴	φ: trivial image	240	4	D4.4(C2xC30)	480,1185

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