Extensions 1→N→G→Q→1 with N=C₂xD₂₀ and Q=S₃

Direct product G=NxQ with N=C₂xD₂₀ and Q=S₃

		d	ρ	Label	ID
C₂xS₃xD₂₀		120		C2xS3xD20	480,1088

Semidirect products G=N:Q with N=C₂xD₂₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₂₀):₁S₃ = C₂xC₃:D₄₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20):1S3	480,376
(C₂xD₂₀):₂S₃ = Dic₁₅:D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20):2S3	480,484
(C₂xD₂₀):₃S₃ = Dic₃:D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20):3S3	480,485
(C₂xD₂₀):₄S₃ = C₆₀:₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20):4S3	480,532
(C₂xD₂₀):₅S₃ = C₁₂:D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20):5S3	480,534
(C₂xD₂₀):₆S₃ = D₆:₄D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	120		(C2xD20):6S3	480,550
(C₂xD₂₀):₇S₃ = C₂xC₁₅:D₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20):7S3	480,372
(C₂xD₂₀):₈S₃ = C₆₀.₃₆D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	120	4	(C2xD20):8S3	480,374
(C₂xD₂₀):₉S₃ = D₆₀:₃₀C₂²	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	120	4	(C2xD20):9S3	480,388
(C₂xD₂₀):₁₀S₃ = C₆₀:₁₀D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20):10S3	480,539
(C₂xD₂₀):₁₁S₃ = C₁₂:₂D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20):11S3	480,541
(C₂xD₂₀):₁₂S₃ = C₂xD₂₀:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20):12S3	480,1075
(C₂xD₂₀):₁₃S₃ = C₂xC₂₀:D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	120		(C2xD20):13S3	480,1089
(C₂xD₂₀):₁₄S₃ = D₂₀:₂₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	120	4	(C2xD20):14S3	480,1093
(C₂xD₂₀):₁₅S₃ = C₂xD₂₀:₅S₃	φ: trivial image	240		(C2xD20):15S3	480,1074

Non-split extensions G=N.Q with N=C₂xD₂₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₂₀).₁S₃ = C₆.D₄₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20).1S3	480,41
(C₂xD₂₀).₂S₃ = (C₂xC₆₀):C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	120	4	(C2xD20).2S3	480,304
(C₂xD₂₀).₃S₃ = C₂xC₆.D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20).3S3	480,386
(C₂xD₂₀).₄S₃ = C₆₀.₄₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20).4S3	480,440
(C₂xD₂₀).₅S₃ = (C₆xD₅).D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20).5S3	480,483
(C₂xD₂₀).₆S₃ = C₆₀.₂₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	120	4	(C2xD20).6S3	480,34
(C₂xD₂₀).₇S₃ = C₃₀.D₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20).7S3	480,40
(C₂xD₂₀).₈S₃ = C₂xC₃₀.D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20).8S3	480,382
(C₂xD₂₀).₉S₃ = C₆₀.₈₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20).9S3	480,444
(C₂xD₂₀).₁₀S₃ = D₂₀:₈Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₂₀	240		(C2xD20).10S3	480,510
(C₂xD₂₀).₁₁S₃ = Dic₃xD₂₀	φ: trivial image	240		(C2xD20).11S3	480,501

׿

x

:

Z

F

o

wr

Q

<