Extensions 1→N→G→Q→1 with N=C₄×D₇ and Q=S₃

Direct product G=N×Q with N=C₄×D₇ and Q=S₃

		d	ρ	Label	ID
C₄×S₃×D₇		84	4	C4xS3xD7	336,147

Semidirect products G=N:Q with N=C₄×D₇ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇)⋊₁S₃ = D₁₂⋊₅D₇	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₇	168	4-	(C4xD7):1S3	336,145
(C₄×D₇)⋊₂S₃ = D₁₄.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₇	168	4+	(C4xD7):2S3	336,146
(C₄×D₇)⋊₃S₃ = D₇×D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₇	84	4+	(C4xD7):3S3	336,148
(C₄×D₇)⋊₄S₃ = D₆.D₁₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₇	168	4	(C4xD7):4S3	336,144

Non-split extensions G=N.Q with N=C₄×D₇ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇).₁S₃ = D₇×Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₇	168	4-	(C4xD7).1S3	336,137
(C₄×D₇).₂S₃ = C₂₈.₃₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₇	168	4	(C4xD7).2S3	336,26
(C₄×D₇).₃S₃ = D₇×C₃⋊C₈	φ: trivial image	168	4	(C4xD7).3S3	336,23

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