Extensions 1→N→G→Q→1 with N=D₄xC₃² and Q=S₃

Direct product G=NxQ with N=D₄xC₃² and Q=S₃

		d	ρ	Label	ID
S₃xD₄xC₃²		72		S3xD4xC3^2	432,704

Semidirect products G=N:Q with N=D₄xC₃² and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₃²):₁S₃ = He₃:₆D₈	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	72	12+	(D4xC3^2):1S3	432,153
(D₄xC₃²):₂S₃ = He₃:₇D₈	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	72	6	(D4xC3^2):2S3	432,192
(D₄xC₃²):₃S₃ = D₄xC₃²:C₆	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	36	12+	(D4xC3^2):3S3	432,360
(D₄xC₃²):₄S₃ = C₆².₁₃D₆	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	72	12-	(D4xC3^2):4S3	432,361
(D₄xC₃²):₅S₃ = D₄xHe₃:C₂	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	36	6	(D4xC3^2):5S3	432,390
(D₄xC₃²):₆S₃ = C₆².₁₆D₆	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	72	6	(D4xC3^2):6S3	432,391
(D₄xC₃²):₇S₃ = C₃xC₃²:₇D₈	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2):7S3	432,491
(D₄xC₃²):₈S₃ = C₃³:₁₅D₈	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	216		(D4xC3^2):8S3	432,507
(D₄xC₃²):₉S₃ = C₃xD₄xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2):9S3	432,714
(D₄xC₃²):₁₀S₃ = C₃xC₁₂.D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2):10S3	432,715
(D₄xC₃²):₁₁S₃ = D₄xC₃³:C₂	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	108		(D4xC3^2):11S3	432,724
(D₄xC₃²):₁₂S₃ = C₆².₁₀₀D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	216		(D4xC3^2):12S3	432,725
(D₄xC₃²):₁₃S₃ = C₃²xD₄:S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2):13S3	432,475
(D₄xC₃²):₁₄S₃ = C₃²xD₄:₂S₃	φ: trivial image	72		(D4xC3^2):14S3	432,705

Non-split extensions G=N.Q with N=D₄xC₃² and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₃²).₁S₃ = He₃:₈SD₁₆	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	72	12-	(D4xC3^2).1S3	432,152
(D₄xC₃²).₂S₃ = Dic₁₈:C₆	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	72	12-	(D4xC3^2).2S3	432,154
(D₄xC₃²).₃S₃ = D₃₆:C₆	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	72	12+	(D4xC3^2).3S3	432,155
(D₄xC₃²).₄S₃ = He₃:₉SD₁₆	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	72	6	(D4xC3^2).4S3	432,193
(D₄xC₃²).₅S₃ = D₄xC₉:C₆	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	36	12+	(D4xC3^2).5S3	432,362
(D₄xC₃²).₆S₃ = Dic₁₈:₂C₆	φ: S₃/C₁ → S₃ ⊆ Out D₄xC₃²	72	12-	(D4xC3^2).6S3	432,363
(D₄xC₃²).₇S₃ = C₃xD₄.D₉	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	72	4	(D4xC3^2).7S3	432,148
(D₄xC₃²).₈S₃ = C₃xD₄:D₉	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	72	4	(D4xC3^2).8S3	432,149
(D₄xC₃²).₉S₃ = C₃₆.₁₇D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	216		(D4xC3^2).9S3	432,190
(D₄xC₃²).₁₀S₃ = C₃₆.₁₈D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	216		(D4xC3^2).10S3	432,191
(D₄xC₃²).₁₁S₃ = C₃xD₄xD₉	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	72	4	(D4xC3^2).11S3	432,356
(D₄xC₃²).₁₂S₃ = C₃xD₄:₂D₉	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	72	4	(D4xC3^2).12S3	432,357
(D₄xC₃²).₁₃S₃ = D₄xC₉:S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	108		(D4xC3^2).13S3	432,388
(D₄xC₃²).₁₄S₃ = C₃₆.₂₇D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	216		(D4xC3^2).14S3	432,389
(D₄xC₃²).₁₅S₃ = C₃xC₃²:₉SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2).15S3	432,492
(D₄xC₃²).₁₆S₃ = C₃³:₂₄SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	216		(D4xC3^2).16S3	432,508
(D₄xC₃²).₁₇S₃ = C₃²xD₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₃²	72		(D4xC3^2).17S3	432,476

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