Extensions 1→N→G→Q→1 with N=C₂×C₁₈ and Q=S₃

Direct product G=N×Q with N=C₂×C₁₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₂×C₁₈		72		S3xC2xC18	216,109

Semidirect products G=N:Q with N=C₂×C₁₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈)⋊₁S₃ = C₉×S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂×C₁₈	36	3	(C2xC18):1S3	216,89
(C₂×C₁₈)⋊₂S₃ = C₉⋊S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂×C₁₈	36	6+	(C2xC18):2S3	216,93
(C₂×C₁₈)⋊₃S₃ = C₉×C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₈	36	2	(C2xC18):3S3	216,58
(C₂×C₁₈)⋊₄S₃ = C₆.D₁₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₈	108		(C2xC18):4S3	216,70
(C₂×C₁₈)⋊₅S₃ = C₂²×C₉⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₈	108		(C2xC18):5S3	216,112

Non-split extensions G=N.Q with N=C₂×C₁₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈).S₃ = C₉.S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂×C₁₈	54	6+	(C2xC18).S3	216,21
(C₂×C₁₈).₂S₃ = C₂×Dic₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₈	216		(C2xC18).2S3	216,7
(C₂×C₁₈).₃S₃ = C₂₇⋊D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₈	108	2	(C2xC18).3S3	216,8
(C₂×C₁₈).₄S₃ = C₂²×D₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₈	108		(C2xC18).4S3	216,23
(C₂×C₁₈).₅S₃ = C₂×C₉⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₁₈	216		(C2xC18).5S3	216,69
(C₂×C₁₈).₆S₃ = Dic₃×C₁₈	central extension (φ=1)	72		(C2xC18).6S3	216,56

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