This symbol was sent to us by a member of the Ukrainian National Committee. It is incorporated in their logo, shown on the right. The embedded letters Y H K stand for Український Національний Комітет (Ukrainian National Committee) and the logo also incorporates the Ukrainian Tryzub symbol.
The Ukrainian National Committee was formed near the end of World War II to take control of the Ukrainian military away from Germany's command. It is now an association of patriotic NGOs, but the origin and meaning of the cross within their symbol was too cryptic for outsiders, such as ourselves, to guess1. Here are our initial best guesses:
There are two arrows, joined together by a diagonal line. One of the arrows points upwards, and the other points to the right. With a bit of lexical manipulation, one could join the two words together (as the arrows are joined) to conjure the term 'upright'.
It has been suggested that the symbol has Germanic roots. The same words 'up' and 'right' combined in German also produce 'upright' (aufrecht), with a similar righteous nuance2.
The symbol is similar to the Odal Cross, rotated 3/8 (135°) to the left, which is based on a Nordic rune and beloved for many years by Nazi groups. (This in turn is similar to the Christian Fish symbol.)
Alternatively, it could be based on another symbol used by Nazis, the Crosstar.
Eventually, somebody with both a Ukrainian background and a strong knowledge of symbols and their historical meaning, Dr Roman, explained that the symbol is a combination of the Greek Cross and the St. Andrew's Cross. He also pointed out that the triangular arrow heads are actually Trinitarian symbols, and that there are two of them refers to the two Natures of Christ. The Ukrainian Tryzub symbol confirms this is very much a Christian symbol.