Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂×C₃₀

Direct product G=N×Q with N=D₄ and Q=C₂×C₃₀

		d	ρ	Label	ID
D₄×C₂×C₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=D₄ and Q=C₂×C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₂×C₃₀) = D₈×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Out D₄	240		D4:1(C2xC30)	480,937
D₄⋊₂(C₂×C₃₀) = C₁₅×C₈⋊C₂²	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Out D₄	120	4	D4:2(C2xC30)	480,941
D₄⋊₃(C₂×C₃₀) = C₄○D₄×C₃₀	φ: trivial image	240		D4:3(C2xC30)	480,1183
D₄⋊₄(C₂×C₃₀) = C₁₅×2₊¹⁺⁴	φ: trivial image	120	4	D4:4(C2xC30)	480,1184

Non-split extensions G=N.Q with N=D₄ and Q=C₂×C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂×C₃₀) = SD₁₆×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Out D₄	240		D4.1(C2xC30)	480,938
D₄.₂(C₂×C₃₀) = C₁₅×C₄○D₈	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Out D₄	240	2	D4.2(C2xC30)	480,940
D₄.₃(C₂×C₃₀) = C₁₅×C₈.C₂²	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Out D₄	240	4	D4.3(C2xC30)	480,942
D₄.₄(C₂×C₃₀) = C₁₅×2_-¹⁺⁴	φ: trivial image	240	4	D4.4(C2xC30)	480,1185

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