Extensions 1→N→G→Q→1 with N=D₄ and Q=C₆₀

Direct product G=N×Q with N=D₄ and Q=C₆₀

		d	ρ	Label	ID
D₄×C₆₀		240		D4xC60	480,923

Semidirect products G=N:Q with N=D₄ and Q=C₆₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁C₆₀ = C₁₅×D₄⋊C₄	φ: C₆₀/C₃₀ → C₂ ⊆ Out D₄	240		D4:1C60	480,205
D₄⋊₂C₆₀ = C₁₅×C₄≀C₂	φ: C₆₀/C₃₀ → C₂ ⊆ Out D₄	120	2	D4:2C60	480,207

Non-split extensions G=N.Q with N=D₄ and Q=C₆₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₆₀ = C₁₅×C₈○D₄	φ: trivial image	240	2	D4.C60	480,936

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Extensions 1→N→G→Q→1 with N=D4 and Q=C60