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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₈)⋊₁C₄ = C₉×D₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₈	144		(S3xC18):1C4	432,135
(S₃×C₁₈)⋊₂C₄ = D₆⋊Dic₉	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₈	144		(S3xC18):2C4	432,93
(S₃×C₁₈)⋊₃C₄ = C₂×S₃×Dic₉	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₈	144		(S3xC18):3C4	432,308

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₈).₁C₄ = C₉×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₈	144	2	(S3xC18).1C4	432,110
(S₃×C₁₈).₂C₄ = S₃×C₉⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₈	144	4	(S3xC18).2C4	432,66
(S₃×C₁₈).₃C₄ = D₆.Dic₉	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₈	144	4	(S3xC18).3C4	432,67
(S₃×C₁₈).₄C₄ = S₃×C₇₂	φ: trivial image	144	2	(S3xC18).4C4	432,109

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