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

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

		d	ρ	Label	ID
D₄×C₃₀		120		D4xC30	240,186

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₃₀ = C₁₅×D₈	φ: C₃₀/C₁₅ → C₂ ⊆ Out D₄	120	2	D4:C30	240,86
D₄⋊₂C₃₀ = C₁₅×C₄○D₄	φ: trivial image	120	2	D4:2C30	240,188

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₃₀ = C₁₅×SD₁₆	φ: C₃₀/C₁₅ → C₂ ⊆ Out D₄	120	2	D4.C30	240,87

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