Extensions 1→N→G→Q→1 with N=C₂xC₂₈ and Q=S₃

Direct product G=NxQ with N=C₂xC₂₈ and Q=S₃

		d	ρ	Label	ID
S₃xC₂xC₂₈		168		S3xC2xC28	336,185

Semidirect products G=N:Q with N=C₂xC₂₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₈):₁S₃ = C₇xD₆:C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	168		(C2xC28):1S3	336,84
(C₂xC₂₈):₂S₃ = C₂.D₈₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	168		(C2xC28):2S3	336,100
(C₂xC₂₈):₃S₃ = C₂xD₈₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	168		(C2xC28):3S3	336,196
(C₂xC₂₈):₄S₃ = D₈₄:₁₁C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	168	2	(C2xC28):4S3	336,197
(C₂xC₂₈):₅S₃ = C₂xC₄xD₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	168		(C2xC28):5S3	336,195
(C₂xC₂₈):₆S₃ = C₁₄xD₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	168		(C2xC28):6S3	336,186
(C₂xC₂₈):₇S₃ = C₇xC₄oD₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	168	2	(C2xC28):7S3	336,187

Non-split extensions G=N.Q with N=C₂xC₂₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₈).₁S₃ = C₇xDic₃:C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	336		(C2xC28).1S3	336,82
(C₂xC₂₈).₂S₃ = C₄₂.₄Q₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	336		(C2xC28).2S3	336,98
(C₂xC₂₈).₃S₃ = C₈₄:C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	336		(C2xC28).3S3	336,99
(C₂xC₂₈).₄S₃ = C₂xDic₄₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	336		(C2xC28).4S3	336,194
(C₂xC₂₈).₅S₃ = C₈₄.C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	168	2	(C2xC28).5S3	336,96
(C₂xC₂₈).₆S₃ = C₂xC₂₁:C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	336		(C2xC28).6S3	336,95
(C₂xC₂₈).₇S₃ = C₄xDic₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	336		(C2xC28).7S3	336,97
(C₂xC₂₈).₈S₃ = C₇xC₄.Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	168	2	(C2xC28).8S3	336,80
(C₂xC₂₈).₉S₃ = C₇xC₄:Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	336		(C2xC28).9S3	336,83
(C₂xC₂₈).₁₀S₃ = C₁₄xDic₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₂₈	336		(C2xC28).10S3	336,184
(C₂xC₂₈).₁₁S₃ = C₁₄xC₃:C₈	central extension (φ=1)	336		(C2xC28).11S3	336,79
(C₂xC₂₈).₁₂S₃ = Dic₃xC₂₈	central extension (φ=1)	336		(C2xC28).12S3	336,81

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