princess:
There are generally levels of pgam in a child born out of an illicit act.
The most serious is mamzer, which according to us is only one born out of a chayvei krisus.(The gemara makes an exception to this for a child from a nidda. Yevamos 49b)
There are lesser levels of pgam for lesser sins. According to some (all?) opinions, the child of a nidda is pagum.