/usr/lib/x86_64-linux-gnu/hdf5/ is in libhdf5-dev 1.8.16+docs-4ubuntu1.
This file is owned by root:root, with mode 0o755.
..
/usr/lib/x86_64-linux-gnu/hdf5/serial/
/usr/lib/x86_64-linux-gnu/hdf5/serial/include
/usr/lib/x86_64-linux-gnu/hdf5/serial/lib
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5.a
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5.settings
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5.so
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5_cpp.a
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5_cpp.so
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5_fortran.a
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5_fortran.so
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5_hl.a
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5_hl.so
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5_hl_cpp.a
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5_hl_cpp.so
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5hl_fortran.a
/usr/lib/x86_64-linux-gnu/hdf5/serial/libhdf5hl_fortran.so