Extensions 1→N→G→Q→1 with N=D₄xC₁₀ and Q=S₃

Direct product G=NxQ with N=D₄xC₁₀ and Q=S₃

		d	ρ	Label	ID
S₃xD₄xC₁₀		120		S3xD4xC10	480,1154

Semidirect products G=N:Q with N=D₄xC₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₁₀):₁S₃ = C₂xD₄:D₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):1S3	480,896
(D₄xC₁₀):₂S₃ = D₄.D₃₀	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10):2S3	480,897
(D₄xC₁₀):₃S₃ = C₆₀:₂D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):3S3	480,903
(D₄xC₁₀):₄S₃ = C₆₀:₃D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):4S3	480,905
(D₄xC₁₀):₅S₃ = C₂xD₄xD₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	120		(D4xC10):5S3	480,1169
(D₄xC₁₀):₆S₃ = C₂xD₄:₂D₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):6S3	480,1170
(D₄xC₁₀):₇S₃ = D₄:₆D₃₀	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10):7S3	480,1171
(D₄xC₁₀):₈S₃ = C₁₀xD₄:S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):8S3	480,810
(D₄xC₁₀):₉S₃ = C₅xD₁₂:₆C₂²	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10):9S3	480,811
(D₄xC₁₀):₁₀S₃ = C₅xC₂³:₂D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	120		(D4xC10):10S3	480,816
(D₄xC₁₀):₁₁S₃ = C₅xD₆:₃D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):11S3	480,817
(D₄xC₁₀):₁₂S₃ = C₅xC₂³.₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):12S3	480,818
(D₄xC₁₀):₁₃S₃ = C₅xC₁₂:₃D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):13S3	480,819
(D₄xC₁₀):₁₄S₃ = D₃₀:₁₇D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	120		(D4xC10):14S3	480,902
(D₄xC₁₀):₁₅S₃ = Dic₁₅:₁₂D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):15S3	480,904
(D₄xC₁₀):₁₆S₃ = C₅xD₄:₆D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10):16S3	480,1156
(D₄xC₁₀):₁₇S₃ = C₁₀xD₄:₂S₃	φ: trivial image	240		(D4xC10):17S3	480,1155

Non-split extensions G=N.Q with N=D₄xC₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₁₀).₁S₃ = D₄:Dic₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).1S3	480,192
(D₄xC₁₀).₂S₃ = C₆₀.₈D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10).2S3	480,193
(D₄xC₁₀).₃S₃ = C₂xD₄.D₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).3S3	480,898
(D₄xC₁₀).₄S₃ = D₄xDic₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).4S3	480,899
(D₄xC₁₀).₅S₃ = C₆₀.₁₇D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).5S3	480,901
(D₄xC₁₀).₆S₃ = C₅xD₄:Dic₃	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).6S3	480,151
(D₄xC₁₀).₇S₃ = C₅xC₁₂.D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10).7S3	480,152
(D₄xC₁₀).₈S₃ = C₅xC₂³.₇D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10).8S3	480,153
(D₄xC₁₀).₉S₃ = C₂³.₇D₃₀	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10).9S3	480,194
(D₄xC₁₀).₁₀S₃ = C₁₀xD₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).10S3	480,812
(D₄xC₁₀).₁₁S₃ = C₅xC₂³.₂₃D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).11S3	480,814
(D₄xC₁₀).₁₂S₃ = C₅xC₂³.₁₂D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).12S3	480,815
(D₄xC₁₀).₁₃S₃ = C₂³.₂₂D₃₀	φ: S₃/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).13S3	480,900
(D₄xC₁₀).₁₄S₃ = C₅xD₄xDic₃	φ: trivial image	240		(D4xC10).14S3	480,813

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