Raggruppa per con union mysql select query

select sum(qty), name
from (
    select count(m.owner_id) as qty, o.name
    from transport t,owner o,motorbike m
    where t.type='motobike' and o.owner_id=m.owner_id
        and t.type_id=m.motorbike_id
    group by m.owner_id

    union all

    select count(c.owner_id) as qty, o.name,
    from transport t,owner o,car c
    where t.type='car' and o.owner_id=c.owner_id and t.type_id=c.car_id
    group by c.owner_id
) t
group by name