How to get the current list of indexes and columns?

So how to get the list of all columns for all tables with additional information about indexes.
This little query will return the three columns: table_name, column_name and index_name (if there is no index then it will be null).

select 
    ic.table_name, ic.column_name, iss.index_name
from
    information_schema.columns ic
        inner join
    information_schema.tables it ON it.table_name = ic.table_name
        and it.table_type = 'BASE TABLE'
        left join
    information_schema.statistics iss ON iss.column_name = ic.column_name
group by ic.table_name , ic.column_name
order by ic.table_name;