Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₄₀

Direct product G=N×Q with N=C₁₂ and Q=C₄₀

		d	ρ	Label	ID
C₄×C₁₂₀		480		C4xC120	480,199

Semidirect products G=N:Q with N=C₁₂ and Q=C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₄₀ = C₅×C₁₂⋊C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12:1C40	480,123
C₁₂⋊₂C₄₀ = C₂₀×C₃⋊C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12:2C40	480,121
C₁₂⋊₃C₄₀ = C₁₅×C₄⋊C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12:3C40	480,208

Non-split extensions G=N.Q with N=C₁₂ and Q=C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₄₀ = C₅×C₁₂.C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.1C40	480,131
C₁₂.₂C₄₀ = C₅×C₃⋊C₃₂	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	2	C12.2C40	480,1
C₁₂.₃C₄₀ = C₁₀×C₃⋊C₁₆	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₁₂	480		C12.3C40	480,130
C₁₂.₄C₄₀ = C₁₅×M₅(2)	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₁₂	240	2	C12.4C40	480,213

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