Extensions 1→N→G→Q→1 with N=D₁₄ and Q=Dic₃

Direct product G=N×Q with N=D₁₄ and Q=Dic₃

		d	ρ	Label	ID
C₂×Dic₃×D₇		168		C2xDic3xD7	336,151

Semidirect products G=N:Q with N=D₁₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊Dic₃ = D₁₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out D₁₄	168		D14:Dic3	336,42

Non-split extensions G=N.Q with N=D₁₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.Dic₃ = C₂₈.₃₂D₆	φ: Dic₃/C₆ → C₂ ⊆ Out D₁₄	168	4	D14.Dic3	336,26
D₁₄.₂Dic₃ = D₇×C₃⋊C₈	φ: trivial image	168	4	D14.2Dic3	336,23

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Extensions 1→N→G→Q→1 with N=D14 and Q=Dic3