Abstract

This supplement is an exhaustive listing of all STS(19) having automorphism groups of order at least 9. We employ a very succinct representation. Each design is on the symbols a-r, and is represented by a string of 57 symbols Si ... 867. Using usual lexical order, the symbol si is the largest element in the ith triple; the remaining two elements of the ith triple are implicitly taken to be the elements xi < yi for which {xi, yi} does not appear in an earlier triple, and there is no pair z'i < y'i with this property for which y'i precedes yi, or Yi = y'i and z'i precedes xi. We list the systems grouped by subset of basic automorphism types, and list an automorphism group order for each:

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