Extensions 1→N→G→Q→1 with N=M₅(2) and Q=D₅

Direct product G=N×Q with N=M₅(2) and Q=D₅

		d	ρ	Label	ID
D₅×M₅(2)		80	4	D5xM5(2)	320,533

Semidirect products G=N:Q with N=M₅(2) and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2)⋊₁D₅ = D₈₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Out M₅(2)	80	4+	M5(2):1D5	320,535
M₅(2)⋊₂D₅ = C₁₆.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out M₅(2)	160	4-	M5(2):2D5	320,536
M₅(2)⋊₃D₅ = C₈.₂₅D₂₀	φ: D₅/C₅ → C₂ ⊆ Out M₅(2)	80	4	M5(2):3D5	320,72
M₅(2)⋊₄D₅ = D₂₀.₄C₈	φ: D₅/C₅ → C₂ ⊆ Out M₅(2)	160	4	M5(2):4D5	320,73
M₅(2)⋊₅D₅ = D₄₀.₄C₄	φ: D₅/C₅ → C₂ ⊆ Out M₅(2)	80	4+	M5(2):5D5	320,74
M₅(2)⋊₆D₅ = D₄₀⋊₈C₄	φ: D₅/C₅ → C₂ ⊆ Out M₅(2)	80	4	M5(2):6D5	320,76
M₅(2)⋊₇D₅ = D₂₀.₅C₈	φ: trivial image	160	4	M5(2):7D5	320,534

Non-split extensions G=N.Q with N=M₅(2) and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2).₁D₅ = C₄₀.Q₈	φ: D₅/C₅ → C₂ ⊆ Out M₅(2)	80	4	M5(2).1D5	320,71
M₅(2).₂D₅ = C₄₀.₉Q₈	φ: D₅/C₅ → C₂ ⊆ Out M₅(2)	80	4	M5(2).2D5	320,69
M₅(2).₃D₅ = C₈₀⋊C₄	φ: D₅/C₅ → C₂ ⊆ Out M₅(2)	80	4	M5(2).3D5	320,70
M₅(2).₄D₅ = C₂₀.₄D₈	φ: D₅/C₅ → C₂ ⊆ Out M₅(2)	160	4-	M5(2).4D5	320,75

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