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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₈)⋊₁C₂ = C₉×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₈	72	2	(S3xC18):1C2	216,48
(S₃×C₁₈)⋊₂C₂ = C₉×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₈	36	2	(S3xC18):2C2	216,58
(S₃×C₁₈)⋊₃C₂ = D₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₈	72	4-	(S3xC18):3C2	216,31
(S₃×C₁₈)⋊₄C₂ = C₉⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₈	36	4+	(S3xC18):4C2	216,32
(S₃×C₁₈)⋊₅C₂ = C₂×S₃×D₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₈	36	4+	(S3xC18):5C2	216,101

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₈).C₂ = S₃×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₈	72	4-	(S3xC18).C2	216,30
(S₃×C₁₈).₂C₂ = S₃×C₃₆	φ: trivial image	72	2	(S3xC18).2C2	216,47

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