Here is an example of SPSS code that asks for varimax rotation:

FACTOR

  /VARIABLES Q32A Q32B Q32C Q32D Q32E Q32F Q32G

  /MISSING PAIRWISE

  /ANALYSIS Q32A Q32B Q32C Q32D Q32E Q32F Q32G

  /PRINT INITIAL EXTRACTION ROTATION

  /CRITERIA MINEIGEN(1) ITERATE(25)

  /EXTRACTION PC

  /CRITERIA ITERATE(25)

  /ROTATION VARIMAX

  /METHOD=CORRELATION.

The second from the last line is where you specify a rotation method.  Other options would be:

For quartimax rotation it would be:

  /ROTATION QUARTIMAX

For equimax rotation it would be:

   /ROTATION EQUAMAX

For direct oblimin rotation, you also need to put in the delta, so (for example) for a delta of -1, it would be:

  /CRITERIA ITERATE(25) DELTA(-1)

  /ROTATION OBLIMIN

And for promax rotation, you need to tell SPSS your kappa value, so for a Kappa of 4 you would have:

  /ROTATION PROMAX(4)

In each case, the rotation subcommand comes before the method subcommand.

Thank you for the update on rotation.  The latest versions of programs often don't support previous versions.