Extensions 1→N→G→Q→1 with N=C₂xC₄² and Q=S₃

Direct product G=NxQ with N=C₂xC₄² and Q=S₃

		d	ρ	Label	ID
S₃xC₂xC₄²		96		S3xC2xC4^2	192,1030

Semidirect products G=N:Q with N=C₂xC₄² and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄²):S₃ = C₂xC₄²:S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₂xC₄²	12	3	(C2xC4^2):S3	192,944
(C₂xC₄²):₂S₃ = C₄xD₆:C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2):2S3	192,497
(C₂xC₄²):₃S₃ = (C₂xC₄²):₃S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2):3S3	192,499
(C₂xC₄²):₄S₃ = C₂xC₄²:₂S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2):4S3	192,1031
(C₂xC₄²):₅S₃ = C₂xC₄²:₃S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2):5S3	192,1037
(C₂xC₄²):₆S₃ = C₂xC₄²:₄S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	48		(C2xC4^2):6S3	192,486
(C₂xC₄²):₇S₃ = (C₂xC₄):₆D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2):7S3	192,498
(C₂xC₄²):₈S₃ = C₂xC₄xD₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2):8S3	192,1032
(C₂xC₄²):₉S₃ = C₄xC₄oD₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2):9S3	192,1033
(C₂xC₄²):₁₀S₃ = C₂xC₄:D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2):10S3	192,1034
(C₂xC₄²):₁₁S₃ = C₂xC₄²:₇S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2):11S3	192,1035
(C₂xC₄²):₁₂S₃ = C₄².₂₇₆D₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2):12S3	192,1036
(C₂xC₄²):₁₃S₃ = C₄².₂₇₇D₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2):13S3	192,1038

Non-split extensions G=N.Q with N=C₂xC₄² and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄²).S₃ = C₂³.₉S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂xC₄²	12	3	(C2xC4^2).S3	192,182
(C₂xC₄²).₂S₃ = (C₂xC₁₂):₃C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).2S3	192,83
(C₂xC₄²).₃S₃ = C₂xC₄².S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).3S3	192,480
(C₂xC₄²).₄S₃ = C₄xDic₃:C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).4S3	192,490
(C₂xC₄²).₅S₃ = C₄²:₆Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).5S3	192,491
(C₂xC₄²).₆S₃ = (C₂xC₄²).₆S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).6S3	192,492
(C₂xC₄²).₇S₃ = C₄²:₇Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).7S3	192,496
(C₂xC₄²).₈S₃ = C₁₂.₈C₄²	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	48		(C2xC4^2).8S3	192,82
(C₂xC₄²).₉S₃ = C₄xC₄.Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2).9S3	192,481
(C₂xC₄²).₁₀S₃ = C₂xC₁₂:C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).10S3	192,482
(C₂xC₄²).₁₁S₃ = C₁₂:₇M₄(2)	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2).11S3	192,483
(C₂xC₄²).₁₂S₃ = C₄².₂₈₅D₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2).12S3	192,484
(C₂xC₄²).₁₃S₃ = C₄².₂₇₀D₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2).13S3	192,485
(C₂xC₄²).₁₄S₃ = C₁₂:₄(C₄:C₄)	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).14S3	192,487
(C₂xC₄²).₁₅S₃ = (C₂xDic₆):₇C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).15S3	192,488
(C₂xC₄²).₁₆S₃ = C₄xC₄:Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).16S3	192,493
(C₂xC₄²).₁₇S₃ = C₄²:₁₀Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).17S3	192,494
(C₂xC₄²).₁₈S₃ = C₄²:₁₁Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).18S3	192,495
(C₂xC₄²).₁₉S₃ = C₂xC₄xDic₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).19S3	192,1026
(C₂xC₄²).₂₀S₃ = C₂xC₁₂:₂Q₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).20S3	192,1027
(C₂xC₄²).₂₁S₃ = C₂xC₁₂.₆Q₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	192		(C2xC4^2).21S3	192,1028
(C₂xC₄²).₂₂S₃ = C₄².₂₇₄D₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₄²	96		(C2xC4^2).22S3	192,1029
(C₂xC₄²).₂₃S₃ = C₂xC₄xC₃:C₈	central extension (φ=1)	192		(C2xC4^2).23S3	192,479
(C₂xC₄²).₂₄S₃ = Dic₃xC₄²	central extension (φ=1)	192		(C2xC4^2).24S3	192,489

Extensions 1→N→G→Q→1 with N=C2xC42 and Q=S3

Extensions 1→N→G→Q→1 with N=C₂xC₄² and Q=S₃