Valeri, I have photos of Dusky Challenger blooming along with my White Cap or Krinkled White peonies. So it sounds like your particular peonies are really late bloomers! Those are the two peonies blooming in the below photo:
In the first, you can see the peonies at the far end:
This second shot is taken from the far end, with the irises further away:
At any rate, in these photos, the irises are Beverly Sills, Silverado, and my original Dusky Challenger, all blooming at the same time as the White Cap, and Krinkled White Peonies. Those two peonies, by the way, are APS Gold medal winners, as well as winners of the Award of Landscaping Merit, as I recall. These peonies are now over 30 years old, and Irises have come and gone and been replanted with other things. But these peonies never fail to put on quite a show.
I think that those three irises are later blooming than some. But peonies, too come in a span of boom times. For example Red Charm peony always seemed to start and finish blooming before my TB irises ever got started.