/usr/share/avogadro/fragments/fullerenes/ is in avogadro-data 1.2.0-3.
This file is owned by root:root, with mode 0o755.
..
/usr/share/avogadro/fragments/fullerenes/C180.cml
/usr/share/avogadro/fragments/fullerenes/C20.cml
/usr/share/avogadro/fragments/fullerenes/C24.cml
/usr/share/avogadro/fragments/fullerenes/C240.cml
/usr/share/avogadro/fragments/fullerenes/C26.cml
/usr/share/avogadro/fragments/fullerenes/C28.cml
/usr/share/avogadro/fragments/fullerenes/C30.cml
/usr/share/avogadro/fragments/fullerenes/C32.cml
/usr/share/avogadro/fragments/fullerenes/C36.cml
/usr/share/avogadro/fragments/fullerenes/C50.cml
/usr/share/avogadro/fragments/fullerenes/C60-buckminsterfullerene.cml
/usr/share/avogadro/fragments/fullerenes/C70.cml
/usr/share/avogadro/fragments/fullerenes/C76.cml
/usr/share/avogadro/fragments/fullerenes/C78.cml
/usr/share/avogadro/fragments/fullerenes/C80.cml
/usr/share/avogadro/fragments/fullerenes/PC70BM.cml
/usr/share/avogadro/fragments/fullerenes/PCBM.cml