Extensions 1→N→G→Q→1 with N=C₃xD₁₂ and Q=S₃

Direct product G=NxQ with N=C₃xD₁₂ and Q=S₃

		d	ρ	Label	ID
C₃xS₃xD₁₂		48	4	C3xS3xD12	432,649

Semidirect products G=N:Q with N=C₃xD₁₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₁₂):₁S₃ = C₃xC₃²:₂D₈	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12):1S3	432,418
(C₃xD₁₂):₂S₃ = C₃³:₆D₈	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	144		(C3xD12):2S3	432,436
(C₃xD₁₂):₃S₃ = C₃³:₇D₈	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	72		(C3xD12):3S3	432,437
(C₃xD₁₂):₄S₃ = C₃xD₁₂:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12):4S3	432,644
(C₃xD₁₂):₅S₃ = C₃xD₆:D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12):5S3	432,650
(C₃xD₁₂):₆S₃ = (C₃xD₁₂):S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	144		(C3xD12):6S3	432,661
(C₃xD₁₂):₇S₃ = D₁₂:(C₃:S₃)	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	72		(C3xD12):7S3	432,662
(C₃xD₁₂):₈S₃ = C₃:S₃xD₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	72		(C3xD12):8S3	432,672
(C₃xD₁₂):₉S₃ = C₁₂:S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	72		(C3xD12):9S3	432,673
(C₃xD₁₂):₁₀S₃ = C₃xC₃:D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12):10S3	432,419
(C₃xD₁₂):₁₁S₃ = C₃xD₁₂:₅S₃	φ: trivial image	48	4	(C3xD12):11S3	432,643

Non-split extensions G=N.Q with N=C₃xD₁₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₁₂).₁S₃ = D₃₆:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	144	4	(C3xD12).1S3	432,68
(C₃xD₁₂).₂S₃ = C₉:D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	72	4+	(C3xD12).2S3	432,69
(C₃xD₁₂).₃S₃ = D₁₂.D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	144	4	(C3xD12).3S3	432,70
(C₃xD₁₂).₄S₃ = C₃₆.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	144	4-	(C3xD12).4S3	432,71
(C₃xD₁₂).₅S₃ = D₁₂:₅D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	144	4-	(C3xD12).5S3	432,285
(C₃xD₁₂).₆S₃ = D₁₂:D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	72	4	(C3xD12).6S3	432,286
(C₃xD₁₂).₇S₃ = D₉xD₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	72	4+	(C3xD12).7S3	432,292
(C₃xD₁₂).₈S₃ = C₃₆:D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	72	4	(C3xD12).8S3	432,293
(C₃xD₁₂).₉S₃ = C₃xDic₆:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12).9S3	432,420
(C₃xD₁₂).₁₀S₃ = C₃³:₁₂SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	144		(C3xD12).10S3	432,439
(C₃xD₁₂).₁₁S₃ = C₃³:₁₄SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	144		(C3xD12).11S3	432,441
(C₃xD₁₂).₁₂S₃ = C₃xD₁₂.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12).12S3	432,421

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