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

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

		d	ρ	Label	ID
S₃×C₂²×C₁₄		168		S3xC2^2xC14	336,226

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂×C₁₄)⋊₁C₂ = C₂×C₂₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₄	168		(S3xC2xC14):1C2	336,157
(S₃×C₂×C₁₄)⋊₂C₂ = C₂×C₇⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₄	168		(S3xC2xC14):2C2	336,159
(S₃×C₂×C₁₄)⋊₃C₂ = S₃×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₄	84	4	(S3xC2xC14):3C2	336,162
(S₃×C₂×C₁₄)⋊₄C₂ = C₂²×S₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₄	84		(S3xC2xC14):4C2	336,219
(S₃×C₂×C₁₄)⋊₅C₂ = C₁₄×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₄	168		(S3xC2xC14):5C2	336,186
(S₃×C₂×C₁₄)⋊₆C₂ = S₃×C₇×D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₄	84	4	(S3xC2xC14):6C2	336,188
(S₃×C₂×C₁₄)⋊₇C₂ = C₁₄×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₄	168		(S3xC2xC14):7C2	336,193

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂×C₁₄).₁C₂ = D₆⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₄	168		(S3xC2xC14).1C2	336,43
(S₃×C₂×C₁₄).₂C₂ = C₂×S₃×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₄	168		(S3xC2xC14).2C2	336,154
(S₃×C₂×C₁₄).₃C₂ = C₇×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₄	168		(S3xC2xC14).3C2	336,84
(S₃×C₂×C₁₄).₄C₂ = S₃×C₂×C₂₈	φ: trivial image	168		(S3xC2xC14).4C2	336,185

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