Correlation between the classes/ groups

Thiru

hi all,    Im working on a multiclass classification problem.   
Im in a situation to calculate correlation between the attributes belonging to different classess.

Is there a way to calculate 'between the  classes' ?  ie. class A  vs  Class B  vs  Class C  ........ etc.
My data uses 6 attributes with 5000 rows.

regards
thiru