The picture in the swiss webiste refers to what looks like a 4seat Long Eez called an Opus 3 apparently, the reg on the aircraft says OY-CYZ, here is a picture of this at Kemble
'OY' is a Danish registration - the reports I've seen say the aircraft involved in the accident is Czech-registered. Are you sure the registration isn't prefixed 'OK' rather than 'OY'...?
*Edit to add: Flight International website reporting that it's a C172 registered OK-HOF.