Extensions 1→N→G→Q→1 with N=Dic₂₀ and Q=C₆

Direct product G=N×Q with N=Dic₂₀ and Q=C₆

		d	ρ	Label	ID
C₆×Dic₂₀		480		C6xDic20	480,698

Semidirect products G=N:Q with N=Dic₂₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀⋊₁C₆ = C₃×C₁₆⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out Dic₂₀	240	2	Dic20:1C6	480,78
Dic₂₀⋊₂C₆ = C₃×C₈.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out Dic₂₀	240	4	Dic20:2C6	480,702
Dic₂₀⋊₃C₆ = C₃×D₈.D₅	φ: C₆/C₃ → C₂ ⊆ Out Dic₂₀	240	4	Dic20:3C6	480,105
Dic₂₀⋊₄C₆ = C₃×D₈⋊₃D₅	φ: C₆/C₃ → C₂ ⊆ Out Dic₂₀	240	4	Dic20:4C6	480,705
Dic₂₀⋊₅C₆ = C₃×D₅×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₂₀	240	4	Dic20:5C6	480,710
Dic₂₀⋊₆C₆ = C₃×SD₁₆⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out Dic₂₀	240	4	Dic20:6C6	480,708
Dic₂₀⋊₇C₆ = C₃×D₄₀⋊₇C₂	φ: trivial image	240	2	Dic20:7C6	480,697

Non-split extensions G=N.Q with N=Dic₂₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀.₁C₆ = C₃×Dic₄₀	φ: C₆/C₃ → C₂ ⊆ Out Dic₂₀	480	2	Dic20.1C6	480,79
Dic₂₀.₂C₆ = C₃×C₅⋊Q₃₂	φ: C₆/C₃ → C₂ ⊆ Out Dic₂₀	480	4	Dic20.2C6	480,107

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