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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁C₁₄ = S₃×C₇×D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×S₃	84	4	(C4xS3):1C14	336,188
(C₄×S₃)⋊₂C₁₄ = C₇×D₄⋊₂S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×S₃	168	4	(C4xS3):2C14	336,189
(C₄×S₃)⋊₃C₁₄ = C₇×Q₈⋊₃S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×S₃	168	4	(C4xS3):3C14	336,191
(C₄×S₃)⋊₄C₁₄ = C₇×C₄○D₁₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×S₃	168	2	(C4xS3):4C14	336,187

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁C₁₄ = S₃×C₇×Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×S₃	168	4	(C4xS3).1C14	336,190
(C₄×S₃).₂C₁₄ = C₇×C₈⋊S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×S₃	168	2	(C4xS3).2C14	336,75
(C₄×S₃).₃C₁₄ = S₃×C₅₆	φ: trivial image	168	2	(C4xS3).3C14	336,74

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