Extensions 1→N→G→Q→1 with N=S₃xC₂xC₁₄ and Q=C₂

Direct product G=NxQ with N=S₃xC₂xC₁₄ and Q=C₂

		d	ρ	Label	ID
S₃xC₂²xC₁₄		168		S3xC2^2xC14	336,226

Semidirect products G=N:Q with N=S₃xC₂xC₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₁₄):₁C₂ = C₂xC₂₁:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₄	168		(S3xC2xC14):1C2	336,157
(S₃xC₂xC₁₄):₂C₂ = C₂xC₇:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₄	168		(S3xC2xC14):2C2	336,159
(S₃xC₂xC₁₄):₃C₂ = S₃xC₇:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₄	84	4	(S3xC2xC14):3C2	336,162
(S₃xC₂xC₁₄):₄C₂ = C₂²xS₃xD₇	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₄	84		(S3xC2xC14):4C2	336,219
(S₃xC₂xC₁₄):₅C₂ = C₁₄xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₄	168		(S3xC2xC14):5C2	336,186
(S₃xC₂xC₁₄):₆C₂ = S₃xC₇xD₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₄	84	4	(S3xC2xC14):6C2	336,188
(S₃xC₂xC₁₄):₇C₂ = C₁₄xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₄	168		(S3xC2xC14):7C2	336,193

Non-split extensions G=N.Q with N=S₃xC₂xC₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₁₄).₁C₂ = D₆:Dic₇	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₄	168		(S3xC2xC14).1C2	336,43
(S₃xC₂xC₁₄).₂C₂ = C₂xS₃xDic₇	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₄	168		(S3xC2xC14).2C2	336,154
(S₃xC₂xC₁₄).₃C₂ = C₇xD₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₄	168		(S3xC2xC14).3C2	336,84
(S₃xC₂xC₁₄).₄C₂ = S₃xC₂xC₂₈	φ: trivial image	168		(S3xC2xC14).4C2	336,185

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