Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂×C₁₄

Direct product G=N×Q with N=D₆ and Q=C₂×C₁₄

		d	ρ	Label	ID
S₃×C₂²×C₁₄		168		S3xC2^2xC14	336,226

Semidirect products G=N:Q with N=D₆ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂×C₁₄) = C₁₄×D₁₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₆	168		D6:1(C2xC14)	336,186
D₆⋊₂(C₂×C₁₄) = S₃×C₇×D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₆	84	4	D6:2(C2xC14)	336,188
D₆⋊₃(C₂×C₁₄) = C₁₄×C₃⋊D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₆	168		D6:3(C2xC14)	336,193

Non-split extensions G=N.Q with N=D₆ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂×C₁₄) = C₇×C₄○D₁₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₆	168	2	D6.1(C2xC14)	336,187
D₆.₂(C₂×C₁₄) = C₇×D₄⋊₂S₃	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₆	168	4	D6.2(C2xC14)	336,189
D₆.₃(C₂×C₁₄) = C₇×Q₈⋊₃S₃	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out D₆	168	4	D6.3(C2xC14)	336,191
D₆.₄(C₂×C₁₄) = S₃×C₂×C₂₈	φ: trivial image	168		D6.4(C2xC14)	336,185
D₆.₅(C₂×C₁₄) = S₃×C₇×Q₈	φ: trivial image	168	4	D6.5(C2xC14)	336,190

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