Extensions 1→N→G→Q→1 with N=D₂₀ and Q=C₁₂

Direct product G=N×Q with N=D₂₀ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×D₂₀		240		C12xD20	480,666

Semidirect products G=N:Q with N=D₂₀ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₁C₁₂ = C₃×D₂₀⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Out D₂₀	120	8	D20:1C12	480,287
D₂₀⋊₂C₁₂ = C₃×Q₈⋊₂F₅	φ: C₁₂/C₃ → C₄ ⊆ Out D₂₀	120	8	D20:2C12	480,290
D₂₀⋊₃C₁₂ = C₃×D₄×F₅	φ: C₁₂/C₃ → C₄ ⊆ Out D₂₀	60	8	D20:3C12	480,1054
D₂₀⋊₄C₁₂ = C₃×D₂₀⋊₄C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₂₀	120	2	D20:4C12	480,83
D₂₀⋊₅C₁₂ = C₃×D₂₀⋊₅C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₂₀	240		D20:5C12	480,99
D₂₀⋊₆C₁₂ = C₃×D₂₀⋊₆C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₂₀	240		D20:6C12	480,87
D₂₀⋊₇C₁₂ = C₃×D₂₀⋊₇C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₂₀	120	4	D20:7C12	480,103
D₂₀⋊₈C₁₂ = C₃×D₂₀⋊₈C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₂₀	240		D20:8C12	480,686

Non-split extensions G=N.Q with N=D₂₀ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.C₁₂ = C₃×Q₈.F₅	φ: C₁₂/C₃ → C₄ ⊆ Out D₂₀	240	8	D20.C12	480,1055
D₂₀.₂C₁₂ = C₃×D₂₀.₂C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₂₀	240	4	D20.2C12	480,700
D₂₀.₃C₁₂ = C₃×D₂₀.₃C₄	φ: trivial image	240	2	D20.3C12	480,694

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