Extensions 1→N→G→Q→1 with N=D₄:₂D₅ and Q=C₆

Direct product G=NxQ with N=D₄:₂D₅ and Q=C₆

		d	ρ	Label	ID
C₆xD₄:₂D₅		240		C6xD4:2D5	480,1140

Semidirect products G=N:Q with N=D₄:₂D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₂D₅:₁C₆ = C₃xD₈:D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄:₂D₅	120	4	D4:2D5:1C6	480,704
D₄:₂D₅:₂C₆ = C₃xD₈:₃D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄:₂D₅	240	4	D4:2D5:2C6	480,705
D₄:₂D₅:₃C₆ = C₃xSD₁₆:₃D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄:₂D₅	240	4	D4:2D5:3C6	480,709
D₄:₂D₅:₄C₆ = C₃xD₄:₆D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄:₂D₅	120	4	D4:2D5:4C6	480,1141
D₄:₂D₅:₅C₆ = C₃xD₄.₁₀D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄:₂D₅	240	4	D4:2D5:5C6	480,1147
D₄:₂D₅:₆C₆ = C₃xD₅xC₄oD₄	φ: trivial image	120	4	D4:2D5:6C6	480,1145

Non-split extensions G=N.Q with N=D₄:₂D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₂D₅.₁C₆ = C₃xSD₁₆:D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄:₂D₅	240	4	D4:2D5.1C6	480,708
D₄:₂D₅.₂C₆ = C₃xD₄:F₅	φ: C₆/C₃ → C₂ ⊆ Out D₄:₂D₅	120	8	D4:2D5.2C6	480,288
D₄:₂D₅.₃C₆ = C₃xD₄.F₅	φ: C₆/C₃ → C₂ ⊆ Out D₄:₂D₅	240	8	D4:2D5.3C6	480,1053

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