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

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

		d	ρ	Label	ID
C₆×D₄₀		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 = C₃×D₈₀	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	240	2	D40:1C6	480,77
D₄₀⋊₂C₆ = C₃×C₈⋊D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	120	4	D40:2C6	480,701
D₄₀⋊₃C₆ = C₃×C₅⋊D₁₆	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	240	4	D40:3C6	480,104
D₄₀⋊₄C₆ = C₃×D₅×D₈	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	120	4	D40:4C6	480,703
D₄₀⋊₅C₆ = C₃×Q₈.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	240	4	D40:5C6	480,712
D₄₀⋊₆C₆ = C₃×D₄₀⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	120	4	D40:6C6	480,707
D₄₀⋊₇C₆ = C₃×D₄₀⋊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 = C₃×C₁₆⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	240	2	D40.1C6	480,78
D₄₀.₂C₆ = C₃×C₅⋊SD₃₂	φ: C₆/C₃ → C₂ ⊆ Out D₄₀	240	4	D40.2C6	480,106

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