Extensions 1→N→G→Q→1 with N=C₄xS₃ and Q=C₁₄

Direct product G=NxQ with N=C₄xS₃ and Q=C₁₄

		d	ρ	Label	ID
S₃xC₂xC₂₈		168		S3xC2xC28	336,185

Semidirect products G=N:Q with N=C₄xS₃ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃):₁C₁₄ = S₃xC₇xD₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄xS₃	84	4	(C4xS3):1C14	336,188
(C₄xS₃):₂C₁₄ = C₇xD₄:₂S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₄xS₃	168	4	(C4xS3):2C14	336,189
(C₄xS₃):₃C₁₄ = C₇xQ₈:₃S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₄xS₃	168	4	(C4xS3):3C14	336,191
(C₄xS₃):₄C₁₄ = C₇xC₄oD₁₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₄xS₃	168	2	(C4xS3):4C14	336,187

Non-split extensions G=N.Q with N=C₄xS₃ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃).₁C₁₄ = S₃xC₇xQ₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄xS₃	168	4	(C4xS3).1C14	336,190
(C₄xS₃).₂C₁₄ = C₇xC₈:S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₄xS₃	168	2	(C4xS3).2C14	336,75
(C₄xS₃).₃C₁₄ = S₃xC₅₆	φ: trivial image	168	2	(C4xS3).3C14	336,74

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