Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₅×S₃

Direct product G=N×Q with N=C₁₄ and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₇₀		210	2	S3xC70	420,37

Semidirect products G=N:Q with N=C₁₄ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊(C₅×S₃) = C₁₀×D₂₁	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₄	210	2	C14:(C5xS3)	420,38

Non-split extensions G=N.Q with N=C₁₄ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.(C₅×S₃) = C₅×Dic₂₁	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₄	420	2	C14.(C5xS3)	420,9
C₁₄.₂(C₅×S₃) = Dic₃×C₃₅	central extension (φ=1)	420	2	C14.2(C5xS3)	420,8

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Extensions 1→N→G→Q→1 with N=C14 and Q=C5×S3