Extensions 1→N→G→Q→1 with N=C₄oD₄ and Q=C₃₀

Direct product G=NxQ with N=C₄oD₄ and Q=C₃₀

		d	ρ	Label	ID
C₄oD₄xC₃₀		240		C4oD4xC30	480,1183

Semidirect products G=N:Q with N=C₄oD₄ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄:C₃₀ = C₅xD₄.A₄	φ: C₃₀/C₅ → C₆ ⊆ Out C₄oD₄	80	4	C4oD4:C30	480,1132
C₄oD₄:₂C₃₀ = C₁₀xC₄.A₄	φ: C₃₀/C₁₀ → C₃ ⊆ Out C₄oD₄	160		C4oD4:2C30	480,1130
C₄oD₄:₃C₃₀ = C₁₅xC₄oD₈	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄oD₄	240	2	C4oD4:3C30	480,940
C₄oD₄:₄C₃₀ = C₁₅xC₈:C₂²	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄oD₄	120	4	C4oD4:4C30	480,941
C₄oD₄:₅C₃₀ = C₁₅x2₊¹⁺⁴	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄oD₄	120	4	C4oD4:5C30	480,1184
C₄oD₄:₆C₃₀ = C₁₅x2_-¹⁺⁴	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄oD₄	240	4	C4oD4:6C30	480,1185

Non-split extensions G=N.Q with N=C₄oD₄ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄.C₃₀ = C₅xQ₈.A₄	φ: C₃₀/C₅ → C₆ ⊆ Out C₄oD₄	120	4	C4oD4.C30	480,1131
C₄oD₄.₂C₃₀ = C₅xC₈.A₄	φ: C₃₀/C₁₀ → C₃ ⊆ Out C₄oD₄	160	2	C4oD4.2C30	480,660
C₄oD₄.₃C₃₀ = C₁₅xC₄wrC₂	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄oD₄	120	2	C4oD4.3C30	480,207
C₄oD₄.₄C₃₀ = C₁₅xC₈.C₂²	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄oD₄	240	4	C4oD4.4C30	480,942
C₄oD₄.₅C₃₀ = C₁₅xC₈oD₄	φ: trivial image	240	2	C4oD4.5C30	480,936

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