Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₂₀

Direct product G=NxQ with N=M₄(2) and Q=C₂₀

		d	ρ	Label	ID
M₄(2)xC₂₀		160		M4(2)xC20	320,905

Semidirect products G=N:Q with N=M₄(2) and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2):₁C₂₀ = C₅xM₄(2):C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2):1C20	320,929
M₄(2):₂C₂₀ = C₅xC₄²:₆C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	80		M4(2):2C20	320,144
M₄(2):₃C₂₀ = C₅xC₂².C₄²	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2):3C20	320,148
M₄(2):₄C₂₀ = C₅xM₄(2):₄C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2):4C20	320,149
M₄(2):₅C₂₀ = C₅xC₈o₂M₄(2)	φ: trivial image	160		M4(2):5C20	320,906

Non-split extensions G=N.Q with N=M₄(2) and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₂₀ = C₅xM₄(2).C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2).1C20	320,931
M₄(2).₂C₂₀ = C₅xC₄.C₄²	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2).2C20	320,146
M₄(2).₃C₂₀ = C₅xD₄.C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	160	2	M4(2).3C20	320,155
M₄(2).₄C₂₀ = C₅xD₄oC₁₆	φ: trivial image	160	2	M4(2).4C20	320,1005

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