"Solakis" may be the family name of those who sponsored a renovation of the church in the Ottoman Period, or from "Solaki" for the densely populated area around the church in the 19th century.[2][3]
The church is particularly significant as the only monument in the Agora, other than the Temple of Hephaestus, to survive intact since its foundation, and for its architecture: it was the first significant church of the Middle Byzantine period in Athens, and marks the beginning of the so-called "Athenian type", successfully combining the simple four-pier with the cross-in-square forms. The church was built partly over a 2nd-century nymphaion, and was restored to its original form between 1954 and 1957.[4]
From evidence of various repairs and reconstructions, four distinct building phases can be distinguished. The original floorplan is a cross with apses on four sides and a narthex on the west side, with four columns supporting a dome. The altar and floor were originally of marble. Tiles on the outer walls have Kufic-like decorative patterns.[5]
A few surviving wall paintings in the central aisle date to the 17th century, and paintings from nearby churches were also placed elsewhere within the church.[6]