Extensions 1→N→G→Q→1 with N=D₄₀ and Q=S₃

Direct product G=N×Q with N=D₄₀ and Q=S₃

		d	ρ	Label	ID
S₃×D₄₀		120	4+	S3xD40	480,328

Semidirect products G=N:Q with N=D₄₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀⋊₁S₃ = C₃⋊D₈₀	φ: S₃/C₃ → C₂ ⊆ Out D₄₀	240	4+	D40:1S3	480,14
D₄₀⋊₂S₃ = D₄₀⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄₀	120	4	D40:2S3	480,330
D₄₀⋊₃S₃ = C₁₅⋊D₁₆	φ: S₃/C₃ → C₂ ⊆ Out D₄₀	240	4	D40:3S3	480,13
D₄₀⋊₄S₃ = C₄₀⋊₅D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄₀	120	4	D40:4S3	480,332
D₄₀⋊₅S₃ = D₄₀⋊₅S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄₀	240	4	D40:5S3	480,353
D₄₀⋊₆S₃ = C₄₀⋊₈D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄₀	120	4	D40:6S3	480,334
D₄₀⋊₇S₃ = D₄₀⋊₇S₃	φ: trivial image	240	4-	D40:7S3	480,349

Non-split extensions G=N.Q with N=D₄₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀.₁S₃ = D₄₀.S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄₀	240	4-	D40.1S3	480,18
D₄₀.₂S₃ = C₄₀.D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄₀	240	4	D40.2S3	480,16

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