Extensions 1→N→G→Q→1 with N=C₆xA₄ and Q=S₃

Direct product G=NxQ with N=C₆xA₄ and Q=S₃

		d	ρ	Label	ID
S₃xC₆xA₄		36	6	S3xC6xA4	432,763

Semidirect products G=N:Q with N=C₆xA₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xA₄):₁S₃ = C₂xC₃²:S₄	φ: S₃/C₁ → S₃ ⊆ Out C₆xA₄	18	3	(C6xA4):1S3	432,538
(C₆xA₄):₂S₃ = C₂xC₆²:C₆	φ: S₃/C₁ → S₃ ⊆ Out C₆xA₄	18	6+	(C6xA4):2S3	432,542
(C₆xA₄):₃S₃ = C₆xC₃:S₄	φ: S₃/C₃ → C₂ ⊆ Out C₆xA₄	36	6	(C6xA4):3S3	432,761
(C₆xA₄):₄S₃ = C₂xC₃²:₄S₄	φ: S₃/C₃ → C₂ ⊆ Out C₆xA₄	54		(C6xA4):4S3	432,762
(C₆xA₄):₅S₃ = C₂xA₄xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₆xA₄	54		(C6xA4):5S3	432,764

Non-split extensions G=N.Q with N=C₆xA₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xA₄).₁S₃ = C₆²:₆Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₆xA₄	36	3	(C6xA4).1S3	432,260
(C₆xA₄).₂S₃ = Dic₉:A₄	φ: S₃/C₁ → S₃ ⊆ Out C₆xA₄	108	6-	(C6xA4).2S3	432,265
(C₆xA₄).₃S₃ = C₆²:₄C₁₂	φ: S₃/C₁ → S₃ ⊆ Out C₆xA₄	36	6-	(C6xA4).3S3	432,272
(C₆xA₄).₄S₃ = C₂xD₉:A₄	φ: S₃/C₁ → S₃ ⊆ Out C₆xA₄	54	6+	(C6xA4).4S3	432,539
(C₆xA₄).₅S₃ = A₄:Dic₉	φ: S₃/C₃ → C₂ ⊆ Out C₆xA₄	108	6-	(C6xA4).5S3	432,254
(C₆xA₄).₆S₃ = A₄xDic₉	φ: S₃/C₃ → C₂ ⊆ Out C₆xA₄	108	6-	(C6xA4).6S3	432,266
(C₆xA₄).₇S₃ = C₂xC₉:S₄	φ: S₃/C₃ → C₂ ⊆ Out C₆xA₄	54	6+	(C6xA4).7S3	432,536
(C₆xA₄).₈S₃ = C₂xA₄xD₉	φ: S₃/C₃ → C₂ ⊆ Out C₆xA₄	54	6+	(C6xA4).8S3	432,540
(C₆xA₄).₉S₃ = C₃xC₆.₇S₄	φ: S₃/C₃ → C₂ ⊆ Out C₆xA₄	36	6	(C6xA4).9S3	432,618
(C₆xA₄).₁₀S₃ = C₆²:₁₀Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₆xA₄	108		(C6xA4).10S3	432,621
(C₆xA₄).₁₁S₃ = A₄xC₃:Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₆xA₄	108		(C6xA4).11S3	432,627
(C₆xA₄).₁₂S₃ = C₃xDic₃xA₄	φ: trivial image	36	6	(C6xA4).12S3	432,624

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