Extensions 1→N→G→Q→1 with N=C₂×C₁₄ and Q=S₃

Direct product G=N×Q with N=C₂×C₁₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₂×C₁₄		84		S3xC2xC14	168,55

Semidirect products G=N:Q with N=C₂×C₁₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄)⋊₁S₃ = C₇×S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂×C₁₄	28	3	(C2xC14):1S3	168,45
(C₂×C₁₄)⋊₂S₃ = C₇⋊S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂×C₁₄	28	6+	(C2xC14):2S3	168,46
(C₂×C₁₄)⋊₃S₃ = C₇×C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₄	84	2	(C2xC14):3S3	168,33
(C₂×C₁₄)⋊₄S₃ = C₂₁⋊₇D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₄	84	2	(C2xC14):4S3	168,38
(C₂×C₁₄)⋊₅S₃ = C₂²×D₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₄	84		(C2xC14):5S3	168,56

Non-split extensions G=N.Q with N=C₂×C₁₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄).S₃ = C₂×Dic₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₄	168		(C2xC14).S3	168,37
(C₂×C₁₄).₂S₃ = Dic₃×C₁₄	central extension (φ=1)	168		(C2xC14).2S3	168,32

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