diff --git a/simpeg/directives/__init__.py b/simpeg/directives/__init__.py
index dd18458430..0261c73658 100644
--- a/simpeg/directives/__init__.py
+++ b/simpeg/directives/__init__.py
@@ -124,7 +124,7 @@
     BaseSaveGeoH5,
     SaveDataGeoH5,
     SaveLogFilesGeoH5,
-    SaveLPModelGroup,
+    SaveLPIterationsGroup,
     SaveModelGroup,
     SaveModelGeoH5,
     SavePGIModel,
diff --git a/simpeg/directives/_save_geoh5.py b/simpeg/directives/_save_geoh5.py
index d05e4642a5..2232938a92 100644
--- a/simpeg/directives/_save_geoh5.py
+++ b/simpeg/directives/_save_geoh5.py
@@ -536,9 +536,9 @@ def get_names(
         return channel_name, component
 
 
-class SaveLPModelGroup(SavePropertyGroup):
+class SaveLPIterationsGroup(SavePropertyGroup):
     """
-    Save the model as a property group in the geoh5 file
+    Group data or model as a property group for the L2 and LP iterations.
     """
 
     def __init__(
@@ -562,9 +562,9 @@ def get_names(
         channel_name, base_name = super().get_names(component, channel, iteration)
 
         if self.irls_directive.metrics.irls_iteration_count == 0:
-            base_name = "L2 models"
+            base_name = "L2 iterations"
         else:
-            base_name = "LP models"
+            base_name = "LP iterations"
 
         return channel_name, base_name