Extensions 1→N→G→Q→1 with N=Q₈xC₁₀ and Q=S₃

Direct product G=NxQ with N=Q₈xC₁₀ and Q=S₃

		d	ρ	Label	ID
S₃xQ₈xC₁₀		240		S3xQ8xC10	480,1157

Semidirect products G=N:Q with N=Q₈xC₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₁₀):₁S₃ = C₂xQ₈:D₁₅	φ: S₃/C₁ → S₃ ⊆ Out Q₈xC₁₀	80		(Q8xC10):1S3	480,1028
(Q₈xC₁₀):₂S₃ = Q₈.D₃₀	φ: S₃/C₁ → S₃ ⊆ Out Q₈xC₁₀	80	4	(Q8xC10):2S3	480,1029
(Q₈xC₁₀):₃S₃ = C₁₀xGL₂(F₃)	φ: S₃/C₁ → S₃ ⊆ Out Q₈xC₁₀	80		(Q8xC10):3S3	480,1017
(Q₈xC₁₀):₄S₃ = C₅xQ₈.D₆	φ: S₃/C₁ → S₃ ⊆ Out Q₈xC₁₀	80	4	(Q8xC10):4S3	480,1018
(Q₈xC₁₀):₅S₃ = C₂xQ₈:₂D₁₅	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240		(Q8xC10):5S3	480,906
(Q₈xC₁₀):₆S₃ = Q₈.₁₁D₃₀	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240	4	(Q8xC10):6S3	480,907
(Q₈xC₁₀):₇S₃ = D₃₀:₇Q₈	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240		(Q8xC10):7S3	480,911
(Q₈xC₁₀):₈S₃ = C₆₀.₂₃D₄	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240		(Q8xC10):8S3	480,912
(Q₈xC₁₀):₉S₃ = C₂xQ₈xD₁₅	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240		(Q8xC10):9S3	480,1172
(Q₈xC₁₀):₁₀S₃ = C₂xQ₈:₃D₁₅	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240		(Q8xC10):10S3	480,1173
(Q₈xC₁₀):₁₁S₃ = Q₈.₁₅D₃₀	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240	4	(Q8xC10):11S3	480,1174
(Q₈xC₁₀):₁₂S₃ = C₁₀xQ₈:₂S₃	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240		(Q8xC10):12S3	480,820
(Q₈xC₁₀):₁₃S₃ = C₅xQ₈.₁₁D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240	4	(Q8xC10):13S3	480,821
(Q₈xC₁₀):₁₄S₃ = C₅xD₆:₃Q₈	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240		(Q8xC10):14S3	480,825
(Q₈xC₁₀):₁₅S₃ = C₅xC₁₂.₂₃D₄	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240		(Q8xC10):15S3	480,826
(Q₈xC₁₀):₁₆S₃ = C₅xQ₈.₁₅D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240	4	(Q8xC10):16S3	480,1159
(Q₈xC₁₀):₁₇S₃ = C₁₀xQ₈:₃S₃	φ: trivial image	240		(Q8xC10):17S3	480,1158

Non-split extensions G=N.Q with N=Q₈xC₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₁₀).₁S₃ = Q₈:Dic₁₅	φ: S₃/C₁ → S₃ ⊆ Out Q₈xC₁₀	160		(Q8xC10).1S3	480,260
(Q₈xC₁₀).₂S₃ = C₂xQ₈.D₁₅	φ: S₃/C₁ → S₃ ⊆ Out Q₈xC₁₀	160		(Q8xC10).2S3	480,1027
(Q₈xC₁₀).₃S₃ = C₅xQ₈:Dic₃	φ: S₃/C₁ → S₃ ⊆ Out Q₈xC₁₀	160		(Q8xC10).3S3	480,256
(Q₈xC₁₀).₄S₃ = C₁₀xCSU₂(F₃)	φ: S₃/C₁ → S₃ ⊆ Out Q₈xC₁₀	160		(Q8xC10).4S3	480,1016
(Q₈xC₁₀).₅S₃ = Q₈:₂Dic₁₅	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	480		(Q8xC10).5S3	480,195
(Q₈xC₁₀).₆S₃ = C₆₀.₁₀D₄	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240	4	(Q8xC10).6S3	480,196
(Q₈xC₁₀).₇S₃ = C₂xC₁₅:₇Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	480		(Q8xC10).7S3	480,908
(Q₈xC₁₀).₈S₃ = Dic₁₅:₄Q₈	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	480		(Q8xC10).8S3	480,909
(Q₈xC₁₀).₉S₃ = Q₈xDic₁₅	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	480		(Q8xC10).9S3	480,910
(Q₈xC₁₀).₁₀S₃ = C₅xQ₈:₂Dic₃	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	480		(Q8xC10).10S3	480,154
(Q₈xC₁₀).₁₁S₃ = C₅xC₁₂.₁₀D₄	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	240	4	(Q8xC10).11S3	480,155
(Q₈xC₁₀).₁₂S₃ = C₁₀xC₃:Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	480		(Q8xC10).12S3	480,822
(Q₈xC₁₀).₁₃S₃ = C₅xDic₃:Q₈	φ: S₃/C₃ → C₂ ⊆ Out Q₈xC₁₀	480		(Q8xC10).13S3	480,823
(Q₈xC₁₀).₁₄S₃ = C₅xQ₈xDic₃	φ: trivial image	480		(Q8xC10).14S3	480,824

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