Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₂₀

Direct product G=N×Q with N=D₁₂ and Q=C₂₀

		d	ρ	Label	ID
C₂₀×D₁₂		240		C20xD12	480,752

Semidirect products G=N:Q with N=D₁₂ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁C₂₀ = C₅×C₄²⋊₄S₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₂	120	2	D12:1C20	480,124
D₁₂⋊₂C₂₀ = C₅×C₂.D₂₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:2C20	480,140
D₁₂⋊₃C₂₀ = C₅×C₆.D₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:3C20	480,128
D₁₂⋊₄C₂₀ = C₅×D₁₂⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:4C20	480,144
D₁₂⋊₅C₂₀ = C₅×Dic₃⋊₅D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:5C20	480,772

Non-split extensions G=N.Q with N=D₁₂ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.C₂₀ = C₅×D₁₂.C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.C20	480,786
D₁₂.₂C₂₀ = C₅×C₈○D₁₂	φ: trivial image	240	2	D12.2C20	480,780

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