Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂xC₁₄

Direct product G=NxQ with N=D₆ and Q=C₂xC₁₄

		d	ρ	Label	ID
S₃xC₂²xC₁₄		168		S3xC2^2xC14	336,226

Semidirect products G=N:Q with N=D₆ and Q=C₂xC₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:₁(C₂xC₁₄) = C₁₄xD₁₂	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Out D₆	168		D6:1(C2xC14)	336,186
D₆:₂(C₂xC₁₄) = S₃xC₇xD₄	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Out D₆	84	4	D6:2(C2xC14)	336,188
D₆:₃(C₂xC₁₄) = C₁₄xC₃:D₄	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Out D₆	168		D6:3(C2xC14)	336,193

Non-split extensions G=N.Q with N=D₆ and Q=C₂xC₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂xC₁₄) = C₇xC₄oD₁₂	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Out D₆	168	2	D6.1(C2xC14)	336,187
D₆.₂(C₂xC₁₄) = C₇xD₄:₂S₃	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Out D₆	168	4	D6.2(C2xC14)	336,189
D₆.₃(C₂xC₁₄) = C₇xQ₈:₃S₃	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Out D₆	168	4	D6.3(C2xC14)	336,191
D₆.₄(C₂xC₁₄) = S₃xC₂xC₂₈	φ: trivial image	168		D6.4(C2xC14)	336,185
D₆.₅(C₂xC₁₄) = S₃xC₇xQ₈	φ: trivial image	168	4	D6.5(C2xC14)	336,190

׿

x

:

Z

F

o

wr

Q

<