diff --git a/utils/hwloc/test-hwloc-calc.output b/utils/hwloc/test-hwloc-calc.output
index a3dd638bb3..9acf4f778a 100644
--- a/utils/hwloc/test-hwloc-calc.output
+++ b/utils/hwloc/test-hwloc-calc.output
@@ -55,6 +55,18 @@
 # combination of different ranges, hierarchical or not
 0x8000c000,0x000ee0c0
 
+# number of Group0 when there are 3 group levels
+2
+
+# list of Group1 near one Group0 when there are 3 group levels
+0,1
+
+# hierarchical list of Group0.Group2 near one NUMA when there are 3 group levels
+Group0:1.Group2:2 Group0:1.Group2:3
+
+# number of Group2 when there are 3 group levels
+8
+
 # Number of NUMA Nodes
 4
 
diff --git a/utils/hwloc/test-hwloc-calc.sh.in b/utils/hwloc/test-hwloc-calc.sh.in
index 1653d7c919..9455e40cd1 100644
--- a/utils/hwloc/test-hwloc-calc.sh.in
+++ b/utils/hwloc/test-hwloc-calc.sh.in
@@ -3,7 +3,7 @@
 
 #
 # Copyright © 2009 CNRS
-# Copyright © 2009-2020 Inria.  All rights reserved.
+# Copyright © 2009-2022 Inria.  All rights reserved.
 # Copyright © 2009, 2011 Université Bordeaux
 # Copyright © 2014 Cisco Systems, Inc.  All rights reserved.
 # See COPYING in top-level directory.
@@ -98,6 +98,19 @@ set -e
   $calc --if synthetic --input "node:4 core:4 pu:4" pu:6:2 core:3-4.pu:1-3 node:2.pu:14:2 node:3.core:3.pu:3
   echo
 
+  echo "# number of Group0 when there are 3 group levels"
+  $calc --if synthetic --input "group:2 node:2 group:2 pu:2" -N group0 all
+  echo
+  echo "# list of Group1 near one Group0 when there are 3 group levels"
+  $calc --if synthetic --input "group:2 node:2 group:2 pu:2" -I group1 group0:0
+  echo
+  echo "# hierarchical list of Group0.Group2 near one NUMA when there are 3 group levels"
+  $calc --if synthetic --input "group:2 node:2 group:2 pu:2" -H group0.group2 numa:3
+  echo
+  echo "# number of Group2 when there are 3 group levels"
+  $calc --if synthetic --input "group:2 node:2 group:2 pu:2" -N group2 all
+  echo
+
   echo "# Number of NUMA Nodes"
   $calc --if synthetic --input "node:4 core:4 pu:4" root --number-of node
   echo