The book I was citing from was
dated 1934, Design of Machine Elements,
by Faires. The following had 1.75 times D,
the rivet diameter: Straight Base Button Head,
Cone Head, Pan Head, Button Head, and Flat Head.
1.9 times D for Double Radius Button Head,
2.0 times D for Steeple Head,
1.7 times D for Countersunk Head.
It gives the general guideline that the dimensions
may be increased, but must not be decreased
more than ten per cent.