Extensions 1→N→G→Q→1 with N=M₄(2) and Q=D₅

Direct product G=N×Q with N=M₄(2) and Q=D₅

		d	ρ	Label	ID
D₅×M₄(2)		40	4	D5xM4(2)	160,127

Semidirect products G=N:Q with N=M₄(2) and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁D₅ = C₈⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out M₄(2)	40	4+	M4(2):1D5	160,129
M₄(2)⋊₂D₅ = C₈.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out M₄(2)	80	4-	M4(2):2D5	160,130
M₄(2)⋊₃D₅ = C₂₀.₄₆D₄	φ: D₅/C₅ → C₂ ⊆ Out M₄(2)	40	4+	M4(2):3D5	160,30
M₄(2)⋊₄D₅ = D₂₀⋊₇C₄	φ: D₅/C₅ → C₂ ⊆ Out M₄(2)	40	4	M4(2):4D5	160,32
M₄(2)⋊₅D₅ = D₂₀.₂C₄	φ: trivial image	80	4	M4(2):5D5	160,128

Non-split extensions G=N.Q with N=M₄(2) and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁D₅ = C₂₀.₅₃D₄	φ: D₅/C₅ → C₂ ⊆ Out M₄(2)	80	4	M4(2).1D5	160,29
M₄(2).₂D₅ = C₄.₁₂D₂₀	φ: D₅/C₅ → C₂ ⊆ Out M₄(2)	80	4-	M4(2).2D5	160,31

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