On Calabi-Yau threefolds with large nonabelian fundamental groups
  In this short note we construct Calabi-Yau threefolds with nonabelian fundamental groups of order 64 as quotients of the small resolutions of certain complete intersections of quadrics in $\PP^7$ that were first considered by M. Gross and S. Popescu. 
Lev Borisov and Zheng Hua