1) Approved way of error-free transferring is via custom dumper. Custom dumper accepts gzipped and bzipped2 dumps, but there's no coressponding php extensions here.
2) Dumper accepts unpacked dumps too. But 7Mb dump when unpacked becomes 40Mb. Too large to upload via ftp.
3) No way found to upload archive and unpack in on the server.
4) Let's see what we have with standard, error prone way. Some phpMyAdmin v2.11.4 found at http://www.uuuq.com/phpmyadmin/. To say it's extremely slow will be wrong. It's inoperable. Couldn't feast eyes with a page.
5) Found another phpMyAdmin v3.1.3.1 at http://www.uuuq.com/phpmyadmin-new/. It works, but extremely slow. After lotsa tries import started, but failed with "#1153 - Got a packet bigger than 'max_allowed_packet' bytes"
6) Dunno what database tool is at http://www.uuuq.com/phpminiadmin.php. It doesn't accept correct login (cheops_root - 11 characters) and correct password.
So, six alternatives were tested failed.
Is there seventh way which will work?
