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

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

		d	ρ	Label	ID
M₄(2)×C₂₀		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 = C₅×M₄(2)⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2):1C20	320,929
M₄(2)⋊₂C₂₀ = C₅×C₄²⋊₆C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	80		M4(2):2C20	320,144
M₄(2)⋊₃C₂₀ = C₅×C₂².C₄²	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2):3C20	320,148
M₄(2)⋊₄C₂₀ = C₅×M₄(2)⋊₄C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2):4C20	320,149
M₄(2)⋊₅C₂₀ = C₅×C₈○₂M₄(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 = C₅×M₄(2).C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	80	4	M4(2).1C20	320,931
M₄(2).₂C₂₀ = C₅×C₄.C₄²	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	160		M4(2).2C20	320,146
M₄(2).₃C₂₀ = C₅×D₄.C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out M₄(2)	160	2	M4(2).3C20	320,155
M₄(2).₄C₂₀ = C₅×D₄○C₁₆	φ: trivial image	160	2	M4(2).4C20	320,1005

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