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There are many stars in Orion and not all of those with Greek letters are in my list:

Those in my list are beginning with Rigel and ending before Tejat Prior:

	ο¹ Orionis
	ο² Orionis
	π¹ Orionis
	π² Orionis
	π³ Orionis
	π⁴ Orionis
	π⁵ Orionis
	π⁶ Orionis
	ρ Orionis
*Rigel*	β Orionis	0.18	08° 15′ S	05h 12m	79.1
	τ Orionis
*Saif al Jabbar*	η Orionis	3.35	02° 24′ S	05h 22m	81.7
*Bellatrix*	γ Orionis	1.64	06° 18′ N	05h 22m	81.7
	ψ Orionis
*Mintaka*	δ Orionis	2.25	00° 20′ S	05h 29m	83.4
	υ Orionis
	φ¹ Orionis	4.39	09° 29′ N	05h 32m	84.1
*Heka*	λ Orionis	3.39	09° 54′ N	05h 32m	84.2
*Hatysa*	ι Orionis	2.75	05° 05′ S	05h 33m	84.5
	φ² Orionis	4.09	09° 17′ N	05h 34m	84.6
*Alnilam (390)*	ε Orionis	1.69	01° 14′ S	05h 34m	84.7
	ω Orionis
*Alnitak*	ζ Orionis	1.74	01° 58′ S	05h 38m	85.7
*Saiph*	κ Orionis	2.07	09° 41′ S	05h 45m	87.5
*Betelgeuze (394)*	α Orionis	0.58	07° 24′ N	05h 52m	89.3
	χ¹ Orionis
	μ Orionis	4.12	09° 36′ N	06h 00m	91.3
	χ² Orionis	4.64	20° 08′ N	06h 01m	91.5
	ν Orionis	4.42	14° 46′ N	06h 04m	92.4
	ξ Orionis	4.45	14° 13′ N	06h 09m	93.5
	M42
	M43
	M78