Extensions 1→N→G→Q→1 with N=C₂xC₃:D₄ and Q=S₃

Direct product G=NxQ with N=C₂xC₃:D₄ and Q=S₃

		d	ρ	Label	ID
C₂xS₃xC₃:D₄		48		C2xS3xC3:D4	288,976

Semidirect products G=N:Q with N=C₂xC₃:D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:D₄):₁S₃ = C₆².₁₀₀C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):1S3	288,606
(C₂xC₃:D₄):₂S₃ = C₆².₁₁₂C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):2S3	288,618
(C₂xC₃:D₄):₃S₃ = C₆².₁₁₃C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):3S3	288,619
(C₂xC₃:D₄):₄S₃ = C₆²:₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):4S3	288,624
(C₂xC₃:D₄):₅S₃ = C₆²:₆D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):5S3	288,626
(C₂xC₃:D₄):₆S₃ = C₆².₁₂₁C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):6S3	288,627
(C₂xC₃:D₄):₇S₃ = C₆²:₇D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):7S3	288,628
(C₂xC₃:D₄):₈S₃ = C₆²:₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	24		(C2xC3:D4):8S3	288,629
(C₂xC₃:D₄):₉S₃ = C₆².₁₂₅C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):9S3	288,631
(C₂xC₃:D₄):₁₀S₃ = C₂xD₆.₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4):10S3	288,971
(C₂xC₃:D₄):₁₁S₃ = C₂xDic₃:D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	24		(C2xC3:D4):11S3	288,977
(C₂xC₃:D₄):₁₂S₃ = C₃²:2₊¹⁺⁴	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	24	4	(C2xC3:D4):12S3	288,978
(C₂xC₃:D₄):₁₃S₃ = C₂xD₆.₃D₆	φ: trivial image	48		(C2xC3:D4):13S3	288,970

Non-split extensions G=N.Q with N=C₂xC₃:D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:D₄).₁S₃ = C₆².₃₁D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	24	4	(C2xC3:D4).1S3	288,228
(C₂xC₃:D₄).₂S₃ = C₆².₁₀₁C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4).2S3	288,607
(C₂xC₃:D₄).₃S₃ = C₆².₅₆D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4).3S3	288,609
(C₂xC₃:D₄).₄S₃ = C₆².₅₇D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4).4S3	288,610
(C₂xC₃:D₄).₅S₃ = C₆².₁₁₁C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4).5S3	288,617
(C₂xC₃:D₄).₆S₃ = C₆².₁₁₅C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₃:D₄	48		(C2xC3:D4).6S3	288,621
(C₂xC₃:D₄).₇S₃ = Dic₃xC₃:D₄	φ: trivial image	48		(C2xC3:D4).7S3	288,620

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