ERROR 1006 (HY000) Can't create database (errno: 13) MySQL 5.6.12

ERROR 1006 (HY000) Can't create database (errno: 13) MySQL 5.6.12

I am facing problem in creating the database and it results in following
error.
mysql> show grants for 'admin'@'%';
+---------------------------------------------------------------------------------------------------------------------------------+
| Grants for admin@%
|
+---------------------------------------------------------------------------------------------------------------------------------+
| GRANT ALL PRIVILEGES ON *.* TO 'admin'@'%' IDENTIFIED BY PASSWORD
'*4ACFE3202A5FF5CF467898FC58AAB1D615029441' WITH GRANT OPTION |
+---------------------------------------------------------------------------------------------------------------------------------+
1 row in set (0.00 sec)
mysql> create database abc;
ERROR 1006 (HY000): Can't create database 'abc' (errno: 13)
mysql>
Here are my users table.
SELECT * FROM mysql.`user` u;
+-------------+-------+-------------------------------------------+-------------+-------------+-------------+-------------+-------------+-----------+-------------+---------------+--------------+-----------+------------+-----------------+------------+------------+--------------+------------+-----------------------+------------------+--------------+-----------------+------------------+------------------+----------------+---------------------+--------------------+------------------+------------+--------------+------------------------+----------+------------+-------------+--------------+---------------+-------------+-----------------+----------------------+--------+-----------------------+------------------+
| Host | User | Password |
Select_priv | Insert_priv | Update_priv | Delete_priv | Create_priv |
Drop_priv | Reload_priv | Shutdown_priv | Process_priv | File_priv |
Grant_priv | References_priv | Index_priv | Alter_priv | Show_db_priv |
Super_priv | Create_tmp_table_priv | Lock_tables_priv | Execute_priv |
Repl_slave_priv | Repl_client_priv | Create_view_priv | Show_view_priv |
Create_routine_priv | Alter_routine_priv | Create_user_priv | Event_priv |
Trigger_priv | Create_tablespace_priv | ssl_type | ssl_cipher |
x509_issuer | x509_subject | max_questions | max_updates | max_connections
| max_user_connections | plugin | authentication_string | password_expired
|
+-------------+-------+-------------------------------------------+-------------+-------------+-------------+-------------+-------------+-----------+-------------+---------------+--------------+-----------+------------+-----------------+------------+------------+--------------+------------+-----------------------+------------------+--------------+-----------------+------------------+------------------+----------------+---------------------+--------------------+------------------+------------+--------------+------------------------+----------+------------+-------------+--------------+---------------+-------------+-----------------+----------------------+--------+-----------------------+------------------+
| localhost | root | *0ED7CCB23F57AFBB530688A270C080BD4956882B | Y
| Y | Y | Y | Y | Y |
Y | Y | Y | Y | Y | Y
| Y | Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| | | | |
0 | 0 | 0 | 0 | |
| N |
|test_dat-DGW | root | *292891EE28681A07B26BD53600C18994D66E8583 | Y
| Y | Y | Y | Y | Y |
Y | Y | Y | Y | Y | Y
| Y | Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| | | | |
0 | 0 | 0 | 0 | |
| Y |
| 127.0.0.1 | root | *292891EE28681A07B26BD53600C18994D66E8583 | Y
| Y | Y | Y | Y | Y |
Y | Y | Y | Y | Y | Y
| Y | Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| | | | |
0 | 0 | 0 | 0 | |
| Y |
| ::1 | root | *292891EE28681A07B26BD53600C18994D66E8583 | Y
| Y | Y | Y | Y | Y |
Y | Y | Y | Y | Y | Y
| Y | Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| | | | |
0 | 0 | 0 | 0 | |
| Y |
| % | admin | *4ACFE3202A5FF5CF467898FC58AAB1D615029441 | Y
| Y | Y | Y | Y | Y |
Y | Y | Y | Y | Y | Y
| Y | Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| | | | |
0 | 0 | 0 | 0 | |
| N |
| localhost | admin | *4ACFE3202A5FF5CF467898FC58AAB1D615029441 | Y
| Y | Y | Y | Y | Y |
Y | Y | Y | Y | Y | Y
| Y | Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| Y | Y | Y | Y
| | | | |
0 | 0 | 0 | 0 | |
| N |
+-------------+-------+-------------------------------------------+-------------+-------------+-------------+-------------+-------------+-----------+-------------+---------------+--------------+-----------+------------+-----------------+------------+------------+--------------+------------+-----------------------+------------------+--------------+-----------------+------------------+------------------+----------------+---------------------+--------------------+------------------+------------+--------------+------------------------+----------+------------+-------------+--------------+---------------+-------------+-----------------+----------------------+--------+-----------------------+------------------+
6 rows in set (0.00 sec)
I can create and remove table in the existing database.
The data directory already has mysql:mysql privileges and also the logged
in user has privilege to create the new database.
Please guide what configuration is missed here.
Thank you in advance.