Extensions 1→N→G→Q→1 with N=S₃xC₁₂ and Q=S₃

Direct product G=NxQ with N=S₃xC₁₂ and Q=S₃

		d	ρ	Label	ID
S₃²xC₁₂		48	4	S3^2xC12	432,648

Semidirect products G=N:Q with N=S₃xC₁₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₁₂):₁S₃ = C₁₂.₇₃S₃²	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	72		(S3xC12):1S3	432,667
(S₃xC₁₂):₂S₃ = C₃xD₁₂:₅S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12):2S3	432,643
(S₃xC₁₂):₃S₃ = C₃xD₆.₆D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12):3S3	432,647
(S₃xC₁₂):₄S₃ = C₃xS₃xD₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12):4S3	432,649
(S₃xC₁₂):₅S₃ = C₁₂.₅₇S₃²	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	144		(S3xC12):5S3	432,668
(S₃xC₁₂):₆S₃ = C₁₂.₅₈S₃²	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	72		(S3xC12):6S3	432,669
(S₃xC₁₂):₇S₃ = S₃xC₁₂:S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	72		(S3xC12):7S3	432,671
(S₃xC₁₂):₈S₃ = C₄xS₃xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	72		(S3xC12):8S3	432,670
(S₃xC₁₂):₉S₃ = C₃xD₆.D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12):9S3	432,646

Non-split extensions G=N.Q with N=S₃xC₁₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₁₂).₁S₃ = D₆.Dic₉	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	144	4	(S3xC12).1S3	432,67
(S₃xC₁₂).₂S₃ = D₆.D₁₈	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	72	4	(S3xC12).2S3	432,287
(S₃xC₁₂).₃S₃ = C₃³:₇M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	144		(S3xC12).3S3	432,433
(S₃xC₁₂).₄S₃ = S₃xDic₁₈	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	144	4-	(S3xC12).4S3	432,284
(S₃xC₁₂).₅S₃ = D₃₆:₅S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	144	4-	(S3xC12).5S3	432,288
(S₃xC₁₂).₆S₃ = Dic₉.D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	72	4+	(S3xC12).6S3	432,289
(S₃xC₁₂).₇S₃ = S₃xD₃₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	72	4+	(S3xC12).7S3	432,291
(S₃xC₁₂).₈S₃ = C₃xS₃xDic₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12).8S3	432,642
(S₃xC₁₂).₉S₃ = S₃xC₃²:₄Q₈	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	144		(S3xC12).9S3	432,660
(S₃xC₁₂).₁₀S₃ = S₃xC₉:C₈	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	144	4	(S3xC12).10S3	432,66
(S₃xC₁₂).₁₁S₃ = C₄xS₃xD₉	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	72	4	(S3xC12).11S3	432,290
(S₃xC₁₂).₁₂S₃ = S₃xC₃²:₄C₈	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	144		(S3xC12).12S3	432,430
(S₃xC₁₂).₁₃S₃ = C₃xD₆.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12).13S3	432,416
(S₃xC₁₂).₁₄S₃ = C₃xS₃xC₃:C₈	φ: trivial image	48	4	(S3xC12).14S3	432,414

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