Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xC₁₄

Direct product G=NxQ with N=C₆ and Q=C₂xC₁₄

		d	ρ	Label	ID
C₂²xC₄₂		168		C2^2xC42	168,57

Semidirect products G=N:Q with N=C₆ and Q=C₂xC₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₂xC₁₄) = S₃xC₂xC₁₄	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₆	84		C6:(C2xC14)	168,55

Non-split extensions G=N.Q with N=C₆ and Q=C₂xC₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xC₁₄) = C₇xDic₆	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₆	168	2	C6.1(C2xC14)	168,29
C₆.₂(C₂xC₁₄) = S₃xC₂₈	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₆	84	2	C6.2(C2xC14)	168,30
C₆.₃(C₂xC₁₄) = C₇xD₁₂	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₆	84	2	C6.3(C2xC14)	168,31
C₆.₄(C₂xC₁₄) = Dic₃xC₁₄	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₆	168		C6.4(C2xC14)	168,32
C₆.₅(C₂xC₁₄) = C₇xC₃:D₄	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₆	84	2	C6.5(C2xC14)	168,33
C₆.₆(C₂xC₁₄) = D₄xC₂₁	central extension (φ=1)	84	2	C6.6(C2xC14)	168,40
C₆.₇(C₂xC₁₄) = Q₈xC₂₁	central extension (φ=1)	168	2	C6.7(C2xC14)	168,41

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