Extensions 1→N→G→Q→1 with N=S₃×C₃₆ and Q=C₂

Direct product G=N×Q with N=S₃×C₃₆ and Q=C₂

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

Semidirect products G=N:Q with N=S₃×C₃₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃₆)⋊₁C₂ = S₃×D₃₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	72	4+	(S3xC36):1C2	432,291
(S₃×C₃₆)⋊₂C₂ = D₆.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	72	4	(S3xC36):2C2	432,287
(S₃×C₃₆)⋊₃C₂ = D₃₆⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	144	4-	(S3xC36):3C2	432,288
(S₃×C₃₆)⋊₄C₂ = Dic₉.D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	72	4+	(S3xC36):4C2	432,289
(S₃×C₃₆)⋊₅C₂ = C₄×S₃×D₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	72	4	(S3xC36):5C2	432,290
(S₃×C₃₆)⋊₆C₂ = C₉×C₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	72	2	(S3xC36):6C2	432,347
(S₃×C₃₆)⋊₇C₂ = S₃×D₄×C₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	72	4	(S3xC36):7C2	432,358
(S₃×C₃₆)⋊₈C₂ = C₉×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	72	4	(S3xC36):8C2	432,359
(S₃×C₃₆)⋊₉C₂ = C₉×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	144	4	(S3xC36):9C2	432,367

Non-split extensions G=N.Q with N=S₃×C₃₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃₆).₁C₂ = S₃×Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	144	4-	(S3xC36).1C2	432,284
(S₃×C₃₆).₂C₂ = D₆.Dic₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	144	4	(S3xC36).2C2	432,67
(S₃×C₃₆).₃C₂ = S₃×C₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	144	4	(S3xC36).3C2	432,66
(S₃×C₃₆).₄C₂ = C₉×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	144	2	(S3xC36).4C2	432,110
(S₃×C₃₆).₅C₂ = S₃×Q₈×C₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₆	144	4	(S3xC36).5C2	432,366
(S₃×C₃₆).₆C₂ = S₃×C₇₂	φ: trivial image	144	2	(S3xC36).6C2	432,109

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