Extensions 1→N→G→Q→1 with N=D₆ and Q=S₄

Direct product G=N×Q with N=D₆ and Q=S₄

		d	ρ	Label	ID
C₂×S₃×S₄		18	6+	C2xS3xS4	288,1028

Semidirect products G=N:Q with N=D₆ and Q=S₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁S₄ = D₆⋊S₄	φ: S₄/A₄ → C₂ ⊆ Out D₆	36	6	D6:1S4	288,857
D₆⋊₂S₄ = A₄⋊D₁₂	φ: S₄/A₄ → C₂ ⊆ Out D₆	36	6+	D6:2S4	288,858

Non-split extensions G=N.Q with N=D₆ and Q=S₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁S₄ = D₆.S₄	φ: S₄/A₄ → C₂ ⊆ Out D₆	48	4-	D6.1S4	288,849
D₆.₂S₄ = D₆.₂S₄	φ: S₄/A₄ → C₂ ⊆ Out D₆	48	4	D6.2S4	288,850
D₆.₃S₄ = S₃×CSU₂(𝔽₃)	φ: trivial image	48	4-	D6.3S4	288,848
D₆.₄S₄ = S₃×GL₂(𝔽₃)	φ: trivial image	24	4	D6.4S4	288,851
D₆.₅S₄ = S₃×A₄⋊C₄	φ: trivial image	36	6	D6.5S4	288,856

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