Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₃xC₆

Direct product G=NxQ with N=C₁₄ and Q=C₃xC₆

		d	ρ	Label	ID
C₆xC₄₂		252		C6xC42	252,46

Semidirect products G=N:Q with N=C₁₄ and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄:(C₃xC₆) = C₆xF₇	φ: C₃xC₆/C₃ → C₆ ⊆ Aut C₁₄	42	6	C14:(C3xC6)	252,28
C₁₄:₂(C₃xC₆) = C₂xC₆xC₇:C₃	φ: C₃xC₆/C₆ → C₃ ⊆ Aut C₁₄	84		C14:2(C3xC6)	252,38
C₁₄:₃(C₃xC₆) = D₇xC₃xC₆	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₄	126		C14:3(C3xC6)	252,41

Non-split extensions G=N.Q with N=C₁₄ and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.(C₃xC₆) = C₃xC₇:C₁₂	φ: C₃xC₆/C₃ → C₆ ⊆ Aut C₁₄	84	6	C14.(C3xC6)	252,16
C₁₄.₂(C₃xC₆) = C₁₂xC₇:C₃	φ: C₃xC₆/C₆ → C₃ ⊆ Aut C₁₄	84	3	C14.2(C3xC6)	252,19
C₁₄.₃(C₃xC₆) = C₃²xDic₇	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₄	252		C14.3(C3xC6)	252,20

Extensions 1→N→G→Q→1 with N=C14 and Q=C3xC6