Extensions 1→N→G→Q→1 with N=C₇×D₄ and Q=S₃

Direct product G=N×Q with N=C₇×D₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₇×D₄		84	4	S3xC7xD4	336,188

Semidirect products G=N:Q with N=C₇×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄)⋊₁S₃ = D₄⋊D₂₁	φ: S₃/C₃ → C₂ ⊆ Out C₇×D₄	168	4+	(C7xD4):1S3	336,101
(C₇×D₄)⋊₂S₃ = D₄×D₂₁	φ: S₃/C₃ → C₂ ⊆ Out C₇×D₄	84	4+	(C7xD4):2S3	336,198
(C₇×D₄)⋊₃S₃ = D₄⋊₂D₂₁	φ: S₃/C₃ → C₂ ⊆ Out C₇×D₄	168	4-	(C7xD4):3S3	336,199
(C₇×D₄)⋊₄S₃ = C₇×D₄⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₇×D₄	168	4	(C7xD4):4S3	336,85
(C₇×D₄)⋊₅S₃ = C₇×D₄⋊₂S₃	φ: trivial image	168	4	(C7xD4):5S3	336,189

Non-split extensions G=N.Q with N=C₇×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄).₁S₃ = D₄.D₂₁	φ: S₃/C₃ → C₂ ⊆ Out C₇×D₄	168	4-	(C7xD4).1S3	336,102
(C₇×D₄).₂S₃ = C₇×D₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₇×D₄	168	4	(C7xD4).2S3	336,86

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