Extensions 1→N→G→Q→1 with N=S₃xC₁₄ and Q=C₄

Direct product G=NxQ with N=S₃xC₁₄ and Q=C₄

		d	ρ	Label	ID
S₃xC₂xC₂₈		168		S3xC2xC28	336,185

Semidirect products G=N:Q with N=S₃xC₁₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₁₄):₁C₄ = D₆:Dic₇	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₁₄	168		(S3xC14):1C4	336,43
(S₃xC₁₄):₂C₄ = C₂xS₃xDic₇	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₁₄	168		(S3xC14):2C4	336,154
(S₃xC₁₄):₃C₄ = C₇xD₆:C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₁₄	168		(S3xC14):3C4	336,84

Non-split extensions G=N.Q with N=S₃xC₁₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₁₄).₁C₄ = S₃xC₇:C₈	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₁₄	168	4	(S3xC14).1C4	336,24
(S₃xC₁₄).₂C₄ = D₆.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₁₄	168	4	(S3xC14).2C4	336,27
(S₃xC₁₄).₃C₄ = C₇xC₈:S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₁₄	168	2	(S3xC14).3C4	336,75
(S₃xC₁₄).₄C₄ = S₃xC₅₆	φ: trivial image	168	2	(S3xC14).4C4	336,74

׿

x

:

Z

F

o

wr

Q

<