Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄×C₁₄

Direct product G=N×Q with N=C₃ and Q=D₄×C₁₄

		d	ρ	Label	ID
D₄×C₄₂		168		D4xC42	336,205

Semidirect products G=N:Q with N=C₃ and Q=D₄×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄×C₁₄) = C₁₄×D₁₂	φ: D₄×C₁₄/C₂×C₂₈ → C₂ ⊆ Aut C₃	168		C3:1(D4xC14)	336,186
C₃⋊₂(D₄×C₁₄) = S₃×C₇×D₄	φ: D₄×C₁₄/C₇×D₄ → C₂ ⊆ Aut C₃	84	4	C3:2(D4xC14)	336,188
C₃⋊₃(D₄×C₁₄) = C₁₄×C₃⋊D₄	φ: D₄×C₁₄/C₂²×C₁₄ → C₂ ⊆ Aut C₃	168		C3:3(D4xC14)	336,193

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