diff --git a/docs/CHANGELOG.md b/docs/CHANGELOG.md
index b5a4e5b3f..809fcf766 100644
--- a/docs/CHANGELOG.md
+++ b/docs/CHANGELOG.md
@@ -11,6 +11,7 @@
 * `rugnux` leaves an event out of the unmerged MTZ when less of its rocking curve was captured than `--min-captured-fraction`, as the merge does, since the exported rows are declared full.
 * `rugnux` writes `FreeR_flag` with 0 for the test set and 1 for the working set, the CCP4 convention REFMAC5 defaults to; it was the other way round.
 * `rugnux -S` refuses or re-seats a fixed space group whose symmetry axes the indexed cell does not carry, not only one whose centring differs; `--mode scale` refuses it too.
+* The rugnux results report names the groups the data cannot separate, the enantiomorph state and any refused higher point group as `SPACE_GROUP_ALTERNATIVES`, `SPACE_GROUP_ENANTIOMORPH`, `SPACE_GROUP_REFUSED_POINT_GROUP` and `SPACE_GROUP_REFUSED_REASON`; `REPORT_VERSION` is 5.
 * `rugnux` handles symmetry better: the lattice, the point group, the setting and the systematic absences.
 * `rugnux` fits the direction of the goniometer axis and not its length, so the cell chosen by the first pass is the one its own refinement scored.
 * `rugnux` reports the detector geometry it measured - the direct beam, the tilt and the beam centre - and what a single sweep can and cannot determine.
diff --git a/rugnux/ResultReport.cpp b/rugnux/ResultReport.cpp
index aaeb18871..ccb34fcc9 100644
--- a/rugnux/ResultReport.cpp
+++ b/rugnux/ResultReport.cpp
@@ -20,7 +20,7 @@
 namespace {
     // The version of this file format. Bumped when a key is renamed or removed, a table column moves,
     // or a reason code changes meaning - a consumer can gate on it.
-    constexpr int REPORT_VERSION = 4;
+    constexpr int REPORT_VERSION = 5;
 
     const char *BANNER = " ******************************************************************************";
 
@@ -231,6 +231,53 @@ std::string RenderResultReport(const std::string &output_prefix,
 
     // ---------------------------------------------- 4. SPACE GROUP DETERMINATION
     Section(os, "4. SPACE GROUP DETERMINATION");
+
+    // What the data could NOT decide, as keys rather than only as prose. SPACE_GROUP_NAME above is a
+    // scalar and reads like a determination; where several groups predict the same absences it is one
+    // of them, chosen by convention. A script that greps only the name records a coin-flip as an
+    // answer - measured, refining against the deposited model in the wrong enantiomorph gives
+    // R = 0.549 - so the ambiguity has to survive the same grep.
+    {
+        std::string alts;
+        if (result.space_group_search.has_value() && result.space_group.has_value())
+            for (const auto &alt : result.space_group_search->alternatives)
+                if (alt.number != result.space_group->number)
+                    alts += (alts.empty() ? "" : " | ") + alt.xhm();
+        Key(os, "SPACE_GROUP_ALTERNATIVES", alts.empty() ? "NONE" : alts);
+
+        // The hand is a separate question from the alternatives list, and it is decidable from the
+        // 22 groups' numbers alone, so it is answered even where the search did not run. Merged
+        // intensities never decide it: an enantiomorphic pair has the same absences and the same
+        // Laue class, and only a model, a substructure or an anomalous signal names the hand.
+        const char *enantiomorph = "NOT_APPLICABLE";
+        if (result.space_group.has_value() && result.space_group->is_enantiomorphic()) {
+            if (result.model_validation.has_value() && result.model_validation->ok)
+                enantiomorph = "DETERMINED_FROM_MODEL";
+            else if (!result.space_group_search.has_value())
+                enantiomorph = "GIVEN";       // -S, or a reference MTZ: the user's assertion
+            else
+                enantiomorph = "UNDETERMINED";
+        }
+        Key(os, "SPACE_GROUP_ENANTIOMORPH", enantiomorph);
+
+        // A higher point group whose operators the intensities confirmed and whose promotion was
+        // refused. It exists only as prose in the search text below, so nothing can act on it - and
+        // a refusal is exactly the case where a user might want to try the higher group as well.
+        const bool refused = result.space_group_search.has_value()
+                             && !result.space_group_search->refused_point_group_hm.empty();
+        Key(os, "SPACE_GROUP_REFUSED_POINT_GROUP",
+            refused ? result.space_group_search->refused_point_group_hm : std::string("NONE"));
+        if (refused)
+            Key(os, "SPACE_GROUP_REFUSED_REASON", result.space_group_search->refused_reason);
+        os << "\n SPACE_GROUP_ALTERNATIVES names every group these data cannot separate from the one\n"
+           << " adopted (enantiomorphic partners, origin-ambiguous pairs, groups a gap in the data\n"
+           << " leaves untested); NONE means the absences single the answer out. SPACE_GROUP_ENANTIOMORPH\n"
+           << " is UNDETERMINED whenever the group is one of the 22 that come in enantiomorphic pairs and\n"
+           << " nothing outside the merged intensities named the hand - the intensities cannot, so this\n"
+           << " is the normal outcome, not a failure. SPACE_GROUP_REFUSED_POINT_GROUP is a higher point\n"
+           << " group the operator correlations supported and the consistency tests would not take.\n";
+    }
+
     if (result.space_group_search.has_value()) {
         Key(os, "SPACE_GROUP_SEARCH", "DE_NOVO");
         os << "\n" << SearchSpaceGroupResultToText(*result.space_group_search) << "\n";
diff --git a/tests/ResultReportTest.cpp b/tests/ResultReportTest.cpp
index bc27855c1..fbc507fe3 100644
--- a/tests/ResultReportTest.cpp
+++ b/tests/ResultReportTest.cpp
@@ -69,10 +69,15 @@ TEST_CASE("ResultReport_Render", "[Diagnostics]") {
     const auto text = RenderResultReport("prefix", "in.h5", x, result);
 
     // The stable keys a consumer greps for.
-    CHECK(text.find("\nREPORT_VERSION= 4\n") != std::string::npos);
+    CHECK(text.find("\nREPORT_VERSION= 5\n") != std::string::npos);
     CHECK(text.find("\nOUTPUT_PREFIX= prefix\n") != std::string::npos);
     CHECK(text.find("\nINDEXING_RATE= 0.8700\n") != std::string::npos);
     CHECK(text.find("\nSPACE_GROUP_NUMBER= 96\n") != std::string::npos);
+    // What the data could NOT decide, beside what they did. The group here was given rather
+    // than searched for, and it is one of the 22 that come in enantiomorphic pairs.
+    CHECK(text.find("\nSPACE_GROUP_ALTERNATIVES= NONE\n") != std::string::npos);
+    CHECK(text.find("\nSPACE_GROUP_ENANTIOMORPH= GIVEN\n") != std::string::npos);
+    CHECK(text.find("\nSPACE_GROUP_REFUSED_POINT_GROUP= NONE\n") != std::string::npos);
     CHECK(text.find("\nSWEEP_QUALITY_STATUS= COMPUTED\n") != std::string::npos);
     CHECK(text.find("\nSWEEP_QUALITY_COUNT= 2\n") != std::string::npos);
     CHECK(text.find("\nSWEEP_QUALITY_REASONS= no_diffraction crystal_out_of_beam weak_diffraction "