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

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

		d	ρ	Label	ID
S₃×C₂²×C₁₈		144		S3xC2^2xC18	432,557

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂×C₁₈)⋊₁C₂ = C₁₈×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₈	144		(S3xC2xC18):1C2	432,346
(S₃×C₂×C₁₈)⋊₂C₂ = S₃×D₄×C₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₈	72	4	(S3xC2xC18):2C2	432,358
(S₃×C₂×C₁₈)⋊₃C₂ = C₁₈×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₈	72		(S3xC2xC18):3C2	432,375
(S₃×C₂×C₁₈)⋊₄C₂ = C₂×D₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₈	144		(S3xC2xC18):4C2	432,311
(S₃×C₂×C₁₈)⋊₅C₂ = C₂×C₉⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₈	72		(S3xC2xC18):5C2	432,312
(S₃×C₂×C₁₈)⋊₆C₂ = S₃×C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₈	72	4	(S3xC2xC18):6C2	432,313
(S₃×C₂×C₁₈)⋊₇C₂ = C₂²×S₃×D₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₈	72		(S3xC2xC18):7C2	432,544

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂×C₁₈).₁C₂ = C₉×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₈	144		(S3xC2xC18).1C2	432,135
(S₃×C₂×C₁₈).₂C₂ = D₆⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₈	144		(S3xC2xC18).2C2	432,93
(S₃×C₂×C₁₈).₃C₂ = C₂×S₃×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₈	144		(S3xC2xC18).3C2	432,308
(S₃×C₂×C₁₈).₄C₂ = S₃×C₂×C₃₆	φ: trivial image	144		(S3xC2xC18).4C2	432,345

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