There was an alphabet known as Osmanya, but Somali is now (since the early 1970s) written with Latin (and I believe it is a subset of ASCII).
Generally speaking, the Latin orthographies of southern and eastern African languages tend to be simpler than central and western orthographies, and use very few diacritics or special letters. See http://www.culturalorientation.net/somali/slang02.html for an overview of the official, 1972 orthography.
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