Query to retrieve Identical names, same birth dates

I have a table with these fields:
table1 definition
(ID varchar2(10),
name1 varchar2(50),
name2 varchar2(50),
name3 varchar2(50),
name4 varchar2(50),
birthdt date)
I need to write a query to retrieve the id's of those people that have identical first and last names AND were born on the same date. note that name is composed of four parts.
I am trying this query
(select id from table1 group by name1,name4,birthdt having count(name1)>1 and count(name4)>1 and count(birthdt)>1). I am not getting correct results.
Any help appreciated.
Ammar

¿...Doh...how could I miss that? smacks forehead
Thanks ( for the N-th time ;) ) for setting straight, Solomon.
Guess I wasn't completely recovered from yesterday ;)
However, the basic approach wasn't too bad ;)
But ofcourse the 'select *' should be 'select id'
Using testdata:
SQL> with table1 as ( -- generating sample data as I should have done in the first place:
2 select 1 id, 'John' name1, 'James' name2, 'Joe' name3, 'Jameson' name4, to_date('15-05-1989','dd-mm-yyyy') birthdt from dual union all
3 select 2 id, 'John' name1, 'James' name2, 'Joe' name3, 'Jackson' name4, to_date('15-05-1989','dd-mm-yyyy') birthdt from dual union all
4 select 3 id, 'John' name1, 'James' name2, 'Joe' name3, 'Jameson' name4, to_date('25-05-1989','dd-mm-yyyy') birthdt from dual union all
5 select 4 id, 'Zlad' name1, 'James' name2, 'Joe' name3, 'Jameson' name4, to_date('15-05-1989','dd-mm-yyyy') birthdt from dual union all
6 select 5 id, 'John' name1, 'James' name2, 'Joe' name3, 'Jameson' name4, to_date('15-05-1989','dd-mm-yyyy') birthdt from dual
7 )
8 --
9 -- actual query
10 --
11 select id
12 from ( select id
13         ,      name1
14         ,      name2
15         ,      name3
16         ,      name4
17         ,      birthdt
18         ,      count(*) over (partition by name1, name2, name3, name4, birthdt) recs
19         from   table1
20       )
21 where recs > 1;
        ID
         1
         5

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