The row object can't be used in the manner that you're attempting:
arcpy.FeatureClassToFeatureClass_conversion(row1[1],outSup...
Because it's a row and not a feature class, to split your feature class to a single feature per output:
desc = arcpy.Describe(catch10)
OID_Field = desc.OIDFieldName # the name of the OID field, could be OID, OBJECTID, FID or other
with arcpy.da.SearchCursor(catch10,'*') as SCur: # really all you need here is arcpy.da.SearchCursor(InData,[OID_Field])
for row in SCur:
print 'OID {0}'.format(row[0])
out_name = "Sup_{0}".format(row[0])
arcpy.FeatureClassToFeatureClass_conversion(catch10,outSup,out_name,'{0} = {1}'.format(OID_Field,row[0]))
It is important to describe the data first and obtain the OID field name, this saves maintaining a script for shapefiles and a different one for geodatabases, then start your cursor with only the OID field, as that's all that's needed to supply the whereclause OIDFieldName = This_row_OID, then specify the source data in FeatureClassToFeatureClass, note that the Select tool also could be implemented here (different to the other select tool so make sure you're using the right one).