Extensions 1→N→G→Q→1 with N=C₂xC₁₄ and Q=S₃

Direct product G=NxQ with N=C₂xC₁₄ and Q=S₃

		d	ρ	Label	ID
S₃xC₂xC₁₄		84		S3xC2xC14	168,55

Semidirect products G=N:Q with N=C₂xC₁₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄):₁S₃ = C₇xS₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂xC₁₄	28	3	(C2xC14):1S3	168,45
(C₂xC₁₄):₂S₃ = C₇:S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂xC₁₄	28	6+	(C2xC14):2S3	168,46
(C₂xC₁₄):₃S₃ = C₇xC₃:D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₄	84	2	(C2xC14):3S3	168,33
(C₂xC₁₄):₄S₃ = C₂₁:₇D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₄	84	2	(C2xC14):4S3	168,38
(C₂xC₁₄):₅S₃ = C₂²xD₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₄	84		(C2xC14):5S3	168,56

Non-split extensions G=N.Q with N=C₂xC₁₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₄).S₃ = C₂xDic₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₄	168		(C2xC14).S3	168,37
(C₂xC₁₄).₂S₃ = Dic₃xC₁₄	central extension (φ=1)	168		(C2xC14).2S3	168,32

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