Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂₀

Direct product G=N×Q with N=C₁₂ and Q=C₂₀

		d	ρ	Label	ID
C₄×C₆₀		240		C4xC60	240,81

Semidirect products G=N:Q with N=C₁₂ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₂₀ = C₅×C₄⋊Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₂	240		C12:1C20	240,58
C₁₂⋊₂C₂₀ = Dic₃×C₂₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₂	240		C12:2C20	240,56
C₁₂⋊₃C₂₀ = C₁₅×C₄⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₂	240		C12:3C20	240,83

Non-split extensions G=N.Q with N=C₁₂ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₂₀ = C₅×C₄.Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₂	120	2	C12.1C20	240,55
C₁₂.₂C₂₀ = C₅×C₃⋊C₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₂	240	2	C12.2C20	240,1
C₁₂.₃C₂₀ = C₁₀×C₃⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₂	240		C12.3C20	240,54
C₁₂.₄C₂₀ = C₁₅×M₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₂	120	2	C12.4C20	240,85

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