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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₄)⋊₁C₂ = C₂₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₄	84	4-	(S3xC14):1C2	168,15
(S₃×C₁₄)⋊₂C₂ = C₇⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₄	84	4+	(S3xC14):2C2	168,17
(S₃×C₁₄)⋊₃C₂ = C₂×S₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₄	42	4+	(S3xC14):3C2	168,50
(S₃×C₁₄)⋊₄C₂ = C₇×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₄	84	2	(S3xC14):4C2	168,31
(S₃×C₁₄)⋊₅C₂ = C₇×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₄	84	2	(S3xC14):5C2	168,33

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₄).C₂ = S₃×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₄	84	4-	(S3xC14).C2	168,13
(S₃×C₁₄).₂C₂ = S₃×C₂₈	φ: trivial image	84	2	(S3xC14).2C2	168,30

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