Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₅xS₃

Direct product G=NxQ with N=C₁₄ and Q=C₅xS₃

		d	ρ	Label	ID
S₃xC₇₀		210	2	S3xC70	420,37

Semidirect products G=N:Q with N=C₁₄ and Q=C₅xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄:(C₅xS₃) = C₁₀xD₂₁	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₁₄	210	2	C14:(C5xS3)	420,38

Non-split extensions G=N.Q with N=C₁₄ and Q=C₅xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.(C₅xS₃) = C₅xDic₂₁	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₁₄	420	2	C14.(C5xS3)	420,9
C₁₄.₂(C₅xS₃) = Dic₃xC₃₅	central extension (φ=1)	420	2	C14.2(C5xS3)	420,8

Extensions 1→N→G→Q→1 with N=C14 and Q=C5xS3