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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(S₃×C₇) = C₇×D₄⋊S₃	φ: S₃×C₇/C₂₁ → C₂ ⊆ Out D₄	168	4	D4:(S3xC7)	336,85
D₄⋊₂(S₃×C₇) = C₇×D₄⋊₂S₃	φ: trivial image	168	4	D4:2(S3xC7)	336,189

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(S₃×C₇) = C₇×D₄.S₃	φ: S₃×C₇/C₂₁ → C₂ ⊆ Out D₄	168	4	D4.(S3xC7)	336,86

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