Extensions 1→N→G→Q→1 with N=C₂²xS₃ and Q=C₁₄

Direct product G=NxQ with N=C₂²xS₃ and Q=C₁₄

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

Semidirect products G=N:Q with N=C₂²xS₃ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xS₃):₁C₁₄ = C₁₄xD₁₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²xS₃	168		(C2^2xS3):1C14	336,186
(C₂²xS₃):₂C₁₄ = S₃xC₇xD₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²xS₃	84	4	(C2^2xS3):2C14	336,188
(C₂²xS₃):₃C₁₄ = C₁₄xC₃:D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²xS₃	168		(C2^2xS3):3C14	336,193

Non-split extensions G=N.Q with N=C₂²xS₃ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xS₃).C₁₄ = C₇xD₆:C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²xS₃	168		(C2^2xS3).C14	336,84
(C₂²xS₃).₂C₁₄ = S₃xC₂xC₂₈	φ: trivial image	168		(C2^2xS3).2C14	336,185

Extensions 1→N→G→Q→1 with N=C22xS3 and Q=C14