Extensions 1→N→G→Q→1 with N=D₄₀ and Q=C₆

Direct product G=NxQ with N=D₄₀ and Q=C₆

		d	ρ	Label	ID
C₆xD₄₀		240		C6xD40	480,696

Semidirect products G=N:Q with N=D₄₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀:₁C₆ = C₃xD₈₀	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	240	2	D40:1C6	480,77
D₄₀:₂C₆ = C₃xC₈:D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	120	4	D40:2C6	480,701
D₄₀:₃C₆ = C₃xC₅:D₁₆	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	240	4	D40:3C6	480,104
D₄₀:₄C₆ = C₃xD₅xD₈	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	120	4	D40:4C6	480,703
D₄₀:₅C₆ = C₃xQ₈.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	240	4	D40:5C6	480,712
D₄₀:₆C₆ = C₃xD₄₀:C₂	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	120	4	D40:6C6	480,707
D₄₀:₇C₆ = C₃xD₄₀:₇C₂	φ: trivial image	240	2	D40:7C6	480,697

Non-split extensions G=N.Q with N=D₄₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀.₁C₆ = C₃xC₁₆:D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	240	2	D40.1C6	480,78
D₄₀.₂C₆ = C₃xC₅:SD₃₂	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	240	4	D40.2C6	480,106

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