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Greek with utf8 requires 
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textalpha
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 (see Document>Settings>Preamble) or setting the language of Greek parts
 to Greek.
 See 
\begin_inset CommandInset href
LatexCommand href
name "#9681"
target "http://www.lyx.org/trac/ticket/9681"

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69 Greek Extended 
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1F00 ἀ ἁ ἂ ἃ ἄ ἅ ἆ ἇ Ἀ Ἁ Ἂ Ἃ Ἄ Ἅ Ἆ Ἇ
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1F10 ἐ ἑ ἒ ἓ ἔ ἕ Ἐ Ἑ Ἒ Ἓ Ἔ Ἕ 
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1F20 ἠ ἡ ἢ ἣ ἤ ἥ ἦ ἧ Ἠ Ἡ Ἢ Ἣ Ἤ Ἥ Ἦ Ἧ
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1F30 ἰ ἱ ἲ ἳ ἴ ἵ ἶ ἷ Ἰ Ἱ Ἲ Ἳ Ἴ Ἵ Ἶ Ἷ
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1F40 ὀ ὁ ὂ ὃ ὄ ὅ Ὀ Ὁ Ὂ Ὃ Ὄ Ὅ 
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1F50 ὐ ὑ ὒ ὓ ὔ ὕ ὖ ὗ Ὑ Ὓ Ὕ Ὗ
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1F60 ὠ ὡ ὢ ὣ ὤ ὥ ὦ ὧ Ὠ Ὡ Ὢ Ὣ Ὤ Ὥ Ὦ Ὧ
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1F70 ὰ ά ὲ έ ὴ ή ὶ ί ὸ ό ὺ ύ ὼ ώ 
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1F80 ᾀ ᾁ ᾂ ᾃ ᾄ ᾅ ᾆ ᾇ ᾈ ᾉ ᾊ ᾋ ᾌ ᾍ ᾎ ᾏ
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1F90 ᾐ ᾑ ᾒ ᾓ ᾔ ᾕ ᾖ ᾗ ᾘ ᾙ ᾚ ᾛ ᾜ ᾝ ᾞ ᾟ
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1FA0 ᾠ ᾡ ᾢ ᾣ ᾤ ᾥ ᾦ ᾧ ᾨ ᾩ ᾪ ᾫ ᾬ ᾭ ᾮ ᾯ
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1FB0 ᾰ ᾱ ᾲ ᾳ ᾴ ᾶ ᾷ Ᾰ Ᾱ Ὰ Ά ᾼ ᾽ ι ᾿
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1FC0 ῀ ῁ ῂ ῃ ῄ ῆ ῇ Ὲ Έ Ὴ Ή ῌ ῍ ῎ ῏
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1FD0 ῐ ῑ ῒ ΐ ῖ ῗ Ῐ Ῑ Ὶ Ί ῝ ῞ ῟
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1FE0 ῠ ῡ ῢ ΰ ῤ ῥ ῦ ῧ Ῠ Ῡ Ὺ Ύ Ῥ ῭ ΅ `
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1FF0 ῲ ῳ ῴ ῶ ῷ Ὸ Ό Ὼ Ώ ῼ ´ ῾ 
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