Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=C₁₈

Direct product G=N×Q with N=C₄×S₃ and Q=C₁₈

		d	ρ	Label	ID
S₃×C₂×C₃₆		144		S3xC2xC36	432,345

Semidirect products G=N:Q with N=C₄×S₃ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁C₁₈ = S₃×D₄×C₉	φ: C₁₈/C₉ → C₂ ⊆ Out C₄×S₃	72	4	(C4xS3):1C18	432,358
(C₄×S₃)⋊₂C₁₈ = C₉×D₄⋊₂S₃	φ: C₁₈/C₉ → C₂ ⊆ Out C₄×S₃	72	4	(C4xS3):2C18	432,359
(C₄×S₃)⋊₃C₁₈ = C₉×Q₈⋊₃S₃	φ: C₁₈/C₉ → C₂ ⊆ Out C₄×S₃	144	4	(C4xS3):3C18	432,367
(C₄×S₃)⋊₄C₁₈ = C₉×C₄○D₁₂	φ: C₁₈/C₉ → C₂ ⊆ Out C₄×S₃	72	2	(C4xS3):4C18	432,347

Non-split extensions G=N.Q with N=C₄×S₃ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁C₁₈ = S₃×Q₈×C₉	φ: C₁₈/C₉ → C₂ ⊆ Out C₄×S₃	144	4	(C4xS3).1C18	432,366
(C₄×S₃).₂C₁₈ = C₉×C₈⋊S₃	φ: C₁₈/C₉ → C₂ ⊆ Out C₄×S₃	144	2	(C4xS3).2C18	432,110
(C₄×S₃).₃C₁₈ = S₃×C₇₂	φ: trivial image	144	2	(C4xS3).3C18	432,109

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