Extensions 1→N→G→Q→1 with N=C₂xDic₁₀ and Q=S₃

Direct product G=NxQ with N=C₂xDic₁₀ and Q=S₃

		d	ρ	Label	ID
C₂xS₃xDic₁₀		240		C2xS3xDic10	480,1078

Semidirect products G=N:Q with N=C₂xDic₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₁₀):₁S₃ = C₂xC₁₅:SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240		(C2xDic10):1S3	480,390
(C₂xDic₁₀):₂S₃ = (C₂xC₂₀).D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240		(C2xDic10):2S3	480,402
(C₂xDic₁₀):₃S₃ = C₆₀.₄₆D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240		(C2xDic10):3S3	480,445
(C₂xDic₁₀):₄S₃ = C₆₀.₄₇D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240		(C2xDic10):4S3	480,450
(C₂xDic₁₀):₅S₃ = D₆:₁Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240		(C2xDic10):5S3	480,486
(C₂xDic₁₀):₆S₃ = D₃₀:Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240		(C2xDic10):6S3	480,487
(C₂xDic₁₀):₇S₃ = C₂xC₂₀.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240		(C2xDic10):7S3	480,384
(C₂xDic₁₀):₈S₃ = D₁₂.₃₇D₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240	4	(C2xDic10):8S3	480,385
(C₂xDic₁₀):₉S₃ = C₁₂.D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240	4	(C2xDic10):9S3	480,391
(C₂xDic₁₀):₁₀S₃ = C₆₀.₈₉D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240		(C2xDic10):10S3	480,446
(C₂xDic₁₀):₁₁S₃ = D₃₀:₁₀Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240		(C2xDic10):11S3	480,466
(C₂xDic₁₀):₁₂S₃ = C₂xD₁₂:D₅	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240		(C2xDic10):12S3	480,1079
(C₂xDic₁₀):₁₃S₃ = C₃₀.C₂⁴	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240	4	(C2xDic10):13S3	480,1080
(C₂xDic₁₀):₁₄S₃ = C₂xD₁₅:Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240		(C2xDic10):14S3	480,1082
(C₂xDic₁₀):₁₅S₃ = C₂xD₆₀:C₂	φ: trivial image	240		(C2xDic10):15S3	480,1081

Non-split extensions G=N.Q with N=C₂xDic₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₁₀).₁S₃ = C₆.Dic₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	480		(C2xDic10).1S3	480,47
(C₂xDic₁₀).₂S₃ = (C₂xC₆₀).C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240	4	(C2xDic10).2S3	480,310
(C₂xDic₁₀).₃S₃ = C₂xC₃:Dic₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	480		(C2xDic10).3S3	480,395
(C₂xDic₁₀).₄S₃ = Dic₁₅:₁Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	480		(C2xDic10).4S3	480,403
(C₂xDic₁₀).₅S₃ = C₆₀.₄₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	480		(C2xDic10).5S3	480,465
(C₂xDic₁₀).₆S₃ = C₁₂.₆D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	240	4	(C2xDic10).6S3	480,37
(C₂xDic₁₀).₇S₃ = C₃₀.Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	480		(C2xDic10).7S3	480,46
(C₂xDic₁₀).₈S₃ = C₂xC₁₅:Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	480		(C2xDic10).8S3	480,394
(C₂xDic₁₀).₉S₃ = Dic₁₅:₆Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	480		(C2xDic10).9S3	480,407
(C₂xDic₁₀).₁₀S₃ = Dic₁₅:₈Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₁₀	480		(C2xDic10).10S3	480,461
(C₂xDic₁₀).₁₁S₃ = Dic₃xDic₁₀	φ: trivial image	480		(C2xDic10).11S3	480,406

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