Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃×D₇

Direct product G=N×Q with N=D₄ and Q=C₃×D₇

		d	ρ	Label	ID
C₃×D₄×D₇		84	4	C3xD4xD7	336,178

Semidirect products G=N:Q with N=D₄ and Q=C₃×D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₃×D₇) = C₃×D₄⋊D₇	φ: C₃×D₇/C₂₁ → C₂ ⊆ Out D₄	168	4	D4:(C3xD7)	336,69
D₄⋊₂(C₃×D₇) = C₃×D₄⋊₂D₇	φ: trivial image	168	4	D4:2(C3xD7)	336,179

Non-split extensions G=N.Q with N=D₄ and Q=C₃×D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃×D₇) = C₃×D₄.D₇	φ: C₃×D₇/C₂₁ → C₂ ⊆ Out D₄	168	4	D4.(C3xD7)	336,70

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Extensions 1→N→G→Q→1 with N=D4 and Q=C3×D7