3. A person falls within this paragraph if he has been convicted of any of the following offences committed at the age of 18 or over or has been cautioned by a constable in respect of any such offence which, at the time the caution was given, he admitted—
(a)an offence under section 7 of the Sexual Offences Act 1956 (intercourse with defective) by having sexual intercourse with a child;
(b)an offence under section 9 of that Act (procurement of defective) by procuring a child to have sexual intercourse;
(c)an offence under section 10 of that Act (incest by a man) by having sexual intercourse with a child;
(d)an offence under section 11 of that Act (incest by a woman) by allowing a child to have sexual intercourse with her;
(e)unless paragraph 4 applies, an offence under section 12 of that Act by committing buggery with a child under the age of 16;
(f)unless paragraph 4 applies, an offence under section 13 of that Act by committing an act of gross indecency with a child;
(g)an offence under section 21 of that Act (abduction of defective from parent or guardian) by taking a child out of the possession of her parent or guardian;
(h)an offence under section 22 of that Act (causing prostitution of women) in relation to a child;
(i)an offence under section 23 of that Act (procuration of girl under 21) by procuring a child to have sexual intercourse with a third person;
(j)an offence under section 27 of that Act (permitting defective to use premise for intercourse) by inducing or suffering a child to resort to or be on premises for the purpose of having sexual intercourse;
(k)an offence under section 29 of that Act (causing or encouraging prostitution of defective) by causing or encouraging the prostitution of a child;
(l)an offence under section 30 of that Act (man living on earnings of prostitution) in a case where the prostitute is a child;
(m)an offence under section 31 of that Act (woman exercising control over prostitute) in a case where the prostitute is a child;
(n)an offence under section 128 of the Mental Health Act 1959 (sexual intercourse with patients) by having sexual intercourse with a child;
(o)an offence under section 4 of the Sexual Offences Act 1967 (procuring others to commit homosexual acts) by—
(i)procuring a child to commit an act of buggery with any person; or
(ii)procuring any person to commit an act of buggery with a child;
(p)an offence under section 5 of that Act (living on earnings of male prostitution) by living wholly or in part on the earnings of prostitution of a child;
(q)an offence under section 9(1)(a) of the Theft Act 1968 (burglary), by entering a building or part of a building with intent to rape a child.