Extensions 1→N→G→Q→1 with N=C₇xD₄ and Q=S₃

Direct product G=NxQ with N=C₇xD₄ and Q=S₃

		d	ρ	Label	ID
S₃xC₇xD₄		84	4	S3xC7xD4	336,188

Semidirect products G=N:Q with N=C₇xD₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xD₄):₁S₃ = D₄:D₂₁	φ: S₃/C₃ → C₂ ⊆ Out C₇xD₄	168	4+	(C7xD4):1S3	336,101
(C₇xD₄):₂S₃ = D₄xD₂₁	φ: S₃/C₃ → C₂ ⊆ Out C₇xD₄	84	4+	(C7xD4):2S3	336,198
(C₇xD₄):₃S₃ = D₄:₂D₂₁	φ: S₃/C₃ → C₂ ⊆ Out C₇xD₄	168	4-	(C7xD4):3S3	336,199
(C₇xD₄):₄S₃ = C₇xD₄:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₇xD₄	168	4	(C7xD4):4S3	336,85
(C₇xD₄):₅S₃ = C₇xD₄:₂S₃	φ: trivial image	168	4	(C7xD4):5S3	336,189

Non-split extensions G=N.Q with N=C₇xD₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xD₄).₁S₃ = D₄.D₂₁	φ: S₃/C₃ → C₂ ⊆ Out C₇xD₄	168	4-	(C7xD4).1S3	336,102
(C₇xD₄).₂S₃ = C₇xD₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₇xD₄	168	4	(C7xD4).2S3	336,86

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