Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₃₀

Direct product G=N×Q with N=C₄○D₄ and Q=C₃₀

		d	ρ	Label	ID
C₄○D₄×C₃₀		240		C4oD4xC30	480,1183

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊C₃₀ = C₅×D₄.A₄	φ: C₃₀/C₅ → C₆ ⊆ Out C₄○D₄	80	4	C4oD4:C30	480,1132
C₄○D₄⋊₂C₃₀ = C₁₀×C₄.A₄	φ: C₃₀/C₁₀ → C₃ ⊆ Out C₄○D₄	160		C4oD4:2C30	480,1130
C₄○D₄⋊₃C₃₀ = C₁₅×C₄○D₈	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄○D₄	240	2	C4oD4:3C30	480,940
C₄○D₄⋊₄C₃₀ = C₁₅×C₈⋊C₂²	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄○D₄	120	4	C4oD4:4C30	480,941
C₄○D₄⋊₅C₃₀ = C₁₅×2₊¹⁺⁴	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄○D₄	120	4	C4oD4:5C30	480,1184
C₄○D₄⋊₆C₃₀ = C₁₅×2_-¹⁺⁴	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄○D₄	240	4	C4oD4:6C30	480,1185

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.C₃₀ = C₅×Q₈.A₄	φ: C₃₀/C₅ → C₆ ⊆ Out C₄○D₄	120	4	C4oD4.C30	480,1131
C₄○D₄.₂C₃₀ = C₅×C₈.A₄	φ: C₃₀/C₁₀ → C₃ ⊆ Out C₄○D₄	160	2	C4oD4.2C30	480,660
C₄○D₄.₃C₃₀ = C₁₅×C₄≀C₂	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄○D₄	120	2	C4oD4.3C30	480,207
C₄○D₄.₄C₃₀ = C₁₅×C₈.C₂²	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄○D₄	240	4	C4oD4.4C30	480,942
C₄○D₄.₅C₃₀ = C₁₅×C₈○D₄	φ: trivial image	240	2	C4oD4.5C30	480,936

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