Extensions 1→N→G→Q→1 with N=S₃xC₂xC₁₈ and Q=C₂

Direct product G=NxQ with N=S₃xC₂xC₁₈ and Q=C₂

		d	ρ	Label	ID
S₃xC₂²xC₁₈		144		S3xC2^2xC18	432,557

Semidirect products G=N:Q with N=S₃xC₂xC₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₁₈):₁C₂ = C₁₈xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₈	144		(S3xC2xC18):1C2	432,346
(S₃xC₂xC₁₈):₂C₂ = S₃xD₄xC₉	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₈	72	4	(S3xC2xC18):2C2	432,358
(S₃xC₂xC₁₈):₃C₂ = C₁₈xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₈	72		(S3xC2xC18):3C2	432,375
(S₃xC₂xC₁₈):₄C₂ = C₂xD₆:D₉	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₈	144		(S3xC2xC18):4C2	432,311
(S₃xC₂xC₁₈):₅C₂ = C₂xC₉:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₈	72		(S3xC2xC18):5C2	432,312
(S₃xC₂xC₁₈):₆C₂ = S₃xC₉:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₈	72	4	(S3xC2xC18):6C2	432,313
(S₃xC₂xC₁₈):₇C₂ = C₂²xS₃xD₉	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₈	72		(S3xC2xC18):7C2	432,544

Non-split extensions G=N.Q with N=S₃xC₂xC₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₁₈).₁C₂ = C₉xD₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₈	144		(S3xC2xC18).1C2	432,135
(S₃xC₂xC₁₈).₂C₂ = D₆:Dic₉	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₈	144		(S3xC2xC18).2C2	432,93
(S₃xC₂xC₁₈).₃C₂ = C₂xS₃xDic₉	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₁₈	144		(S3xC2xC18).3C2	432,308
(S₃xC₂xC₁₈).₄C₂ = S₃xC₂xC₃₆	φ: trivial image	144		(S3xC2xC18).4C2	432,345

׿

x

:

Z

F

o

wr

Q

<