Extensions 1→N→G→Q→1 with N=D₂₄ and Q=S₃

Direct product G=NxQ with N=D₂₄ and Q=S₃

		d	ρ	Label	ID
S₃xD₂₄		48	4+	S3xD24	288,441

Semidirect products G=N:Q with N=D₂₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄:₁S₃ = C₃:D₄₈	φ: S₃/C₃ → C₂ ⊆ Out D₂₄	48	4+	D24:1S3	288,194
D₂₄:₂S₃ = D₂₄:S₃	φ: S₃/C₃ → C₂ ⊆ Out D₂₄	48	4	D24:2S3	288,443
D₂₄:₃S₃ = C₃²:₂D₁₆	φ: S₃/C₃ → C₂ ⊆ Out D₂₄	96	4	D24:3S3	288,193
D₂₄:₄S₃ = C₂₄:₄D₆	φ: S₃/C₃ → C₂ ⊆ Out D₂₄	48	4	D24:4S3	288,445
D₂₄:₅S₃ = D₂₄:₅S₃	φ: S₃/C₃ → C₂ ⊆ Out D₂₄	48	4	D24:5S3	288,458
D₂₄:₆S₃ = C₂₄:₆D₆	φ: S₃/C₃ → C₂ ⊆ Out D₂₄	48	4	D24:6S3	288,446
D₂₄:₇S₃ = D₂₄:₇S₃	φ: trivial image	96	4-	D24:7S3	288,455

Non-split extensions G=N.Q with N=D₂₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄.₁S₃ = C₃²:₃SD₃₂	φ: S₃/C₃ → C₂ ⊆ Out D₂₄	96	4-	D24.1S3	288,196
D₂₄.₂S₃ = D₂₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out D₂₄	96	4	D24.2S3	288,195

׿

x

:

Z

F

o

wr

Q

<