Extensions 1→N→G→Q→1 with N=Dic₂₀ and Q=S₃

Direct product G=NxQ with N=Dic₂₀ and Q=S₃

		d	ρ	Label	ID
S₃xDic₂₀		240	4-	S3xDic20	480,338

Semidirect products G=N:Q with N=Dic₂₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀:₁S₃ = C₂₄.D₁₀	φ: S₃/C₃ → C₂ ⊆ Out Dic₂₀	240	4+	Dic20:1S3	480,19
Dic₂₀:₂S₃ = Dic₂₀:S₃	φ: S₃/C₃ → C₂ ⊆ Out Dic₂₀	240	4	Dic20:2S3	480,339
Dic₂₀:₃S₃ = C₁₅:SD₃₂	φ: S₃/C₃ → C₂ ⊆ Out Dic₂₀	240	4	Dic20:3S3	480,17
Dic₂₀:₄S₃ = Dic₁₀.D₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₂₀	240	4	Dic20:4S3	480,340
Dic₂₀:₅S₃ = D₂₄:₅D₅	φ: S₃/C₃ → C₂ ⊆ Out Dic₂₀	240	4	Dic20:5S3	480,355
Dic₂₀:₆S₃ = D₃₀.₄D₄	φ: S₃/C₃ → C₂ ⊆ Out Dic₂₀	240	4	Dic20:6S3	480,356
Dic₂₀:₇S₃ = D₁₂₀:₅C₂	φ: trivial image	240	4+	Dic20:7S3	480,351

Non-split extensions G=N.Q with N=Dic₂₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀.₁S₃ = C₃:Dic₄₀	φ: S₃/C₃ → C₂ ⊆ Out Dic₂₀	480	4-	Dic20.1S3	480,23
Dic₂₀.₂S₃ = C₁₅:Q₃₂	φ: S₃/C₃ → C₂ ⊆ Out Dic₂₀	480	4	Dic20.2S3	480,22

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