Extensions 1→N→G→Q→1 with N=S₃×C₁₄ and Q=C₄

Direct product G=N×Q with N=S₃×C₁₄ and Q=C₄

		d	ρ	Label	ID
S₃×C₂×C₂₈		168		S3xC2xC28	336,185

Semidirect products G=N:Q with N=S₃×C₁₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₄)⋊₁C₄ = D₆⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₄	168		(S3xC14):1C4	336,43
(S₃×C₁₄)⋊₂C₄ = C₂×S₃×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₄	168		(S3xC14):2C4	336,154
(S₃×C₁₄)⋊₃C₄ = C₇×D₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₄	168		(S3xC14):3C4	336,84

Non-split extensions G=N.Q with N=S₃×C₁₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₄).₁C₄ = S₃×C₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₄	168	4	(S3xC14).1C4	336,24
(S₃×C₁₄).₂C₄ = D₆.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₄	168	4	(S3xC14).2C4	336,27
(S₃×C₁₄).₃C₄ = C₇×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₄	168	2	(S3xC14).3C4	336,75
(S₃×C₁₄).₄C₄ = S₃×C₅₆	φ: trivial image	168	2	(S3xC14).4C4	336,74

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