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

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

		d	ρ	Label	ID
S₃xD₄₀		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

׿

x

:

Z

F

o

wr

Q

<