diff --git a/hsparse/parse_csv_contacts.py b/hsparse/parse_csv_contacts.py
index 7f93d37..77b9190 100644
--- a/hsparse/parse_csv_contacts.py
+++ b/hsparse/parse_csv_contacts.py
@@ -73,7 +73,11 @@ def csv_non_empty(CSV):
     }
 
     unique_counts = {col: df[col].nunique() for col in non_empty_columns.keys()}
-    sorted_columns = sorted(unique_counts.items(), key=lambda x: x[1], reverse=True)
+    sorted_columns = sorted(
+        unique_counts.items(),
+        key=lambda x: (unique_counts[x[0]], non_empty_columns[x[0]]),
+        reverse=True,
+    )
 
     print("Column\tNon-empty values\tUnique values")