Extensions 1→N→G→Q→1 with N=C₂xC₁₈ and Q=S₃

Direct product G=NxQ with N=C₂xC₁₈ and Q=S₃

		d	ρ	Label	ID
S₃xC₂xC₁₈		72		S3xC2xC18	216,109

Semidirect products G=N:Q with N=C₂xC₁₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₈):₁S₃ = C₉xS₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂xC₁₈	36	3	(C2xC18):1S3	216,89
(C₂xC₁₈):₂S₃ = C₉:S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂xC₁₈	36	6+	(C2xC18):2S3	216,93
(C₂xC₁₈):₃S₃ = C₉xC₃:D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₈	36	2	(C2xC18):3S3	216,58
(C₂xC₁₈):₄S₃ = C₆.D₁₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₈	108		(C2xC18):4S3	216,70
(C₂xC₁₈):₅S₃ = C₂²xC₉:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₈	108		(C2xC18):5S3	216,112

Non-split extensions G=N.Q with N=C₂xC₁₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₈).S₃ = C₉.S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂xC₁₈	54	6+	(C2xC18).S3	216,21
(C₂xC₁₈).₂S₃ = C₂xDic₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₈	216		(C2xC18).2S3	216,7
(C₂xC₁₈).₃S₃ = C₂₇:D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₈	108	2	(C2xC18).3S3	216,8
(C₂xC₁₈).₄S₃ = C₂²xD₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₈	108		(C2xC18).4S3	216,23
(C₂xC₁₈).₅S₃ = C₂xC₉:Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₈	216		(C2xC18).5S3	216,69
(C₂xC₁₈).₆S₃ = Dic₃xC₁₈	central extension (φ=1)	72		(C2xC18).6S3	216,56

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