diff --git a/crates/web/static/statusz.html b/crates/web/static/statusz.html
index 5b53fd1..bc7f4dd 100644
--- a/crates/web/static/statusz.html
+++ b/crates/web/static/statusz.html
@@ -412,6 +412,17 @@ from <select id="lookup-peer"><option value="">any peer</option></select>
     return p.state === 'Established' && p.expected_routes > 0 && p.routes != null
       && p.routes < p.expected_routes / 2 && now() - p.established_at_unix > SETTLING_SECS;
   }
+  // Peers in name order, except that the IPv6 session of a neighbour
+  // (<stem>-v6) comes before its IPv4 one: IPv6 is the network's present,
+  // IPv4 what is still carried along.
+  const FAMILY_SUFFIX = /^(.*)-v([46])$/;
+  function nameOrder(a, c) {
+    const [sa, fa] = FAMILY_SUFFIX.exec(a)?.slice(1) || [a, ''];
+    const [sc, fc] = FAMILY_SUFFIX.exec(c)?.slice(1) || [c, ''];
+    return sa.localeCompare(sc) || fc.localeCompare(fa);
+  }
+  const byName = (a, c) => nameOrder(a.name || a.peer_addr, c.name || c.peer_addr);
+
   // Where a peer stands, for the strip and for sorting: 0 failed, 1
   // degraded, 2 normal, 3 inactive and expected.
   function peerRank(p) {
@@ -524,9 +535,8 @@ from <select id="lookup-peer"><option value="">any peer</option></select>
     if (!peers.length) { setHTML(b, '<tr><td colspan="9" class="dim">No peers configured and none connected.</td></tr>'); return; }
     const problemsOnly = $('peers-problems').checked;
     // The IPv4 and IPv6 sessions of one neighbour, named <stem>-v4 and
-    // <stem>-v6, are one neighbour to the reader: listed together, the
-    // name once in full and once quietly, joined down the side.
-    const FAMILY_SUFFIX = /^(.*)-v([46])$/;
+    // <stem>-v6, are one neighbour to the reader: listed together, IPv6
+    // first, the name once in full and once quietly, joined down the side.
     const row = (p, pair) => {
       const up = p.state === 'Established';
       const family = p.name && FAMILY_SUFFIX.exec(p.name);
@@ -559,7 +569,6 @@ from <select id="lookup-peer"><option value="">any peer</option></select>
       if (sameStem(list[i - 1])) return row(p, 'pair-b');
       return row(p);
     }).join('');
-    const byName = (a, c) => (a.name || a.peer_addr).localeCompare(c.name || c.peer_addr);
     let html = '';
     // What needs attention first, whoever it is; then everyone by what
     // they are to us.
@@ -661,7 +670,7 @@ from <select id="lookup-peer"><option value="">any peer</option></select>
   function renderPeerChoices() {
     const chosen = lookup().peer;
     const names = [...new Set(state.peers.filter(p => p.state === 'Established')
-      .map(p => p.name || p.peer_addr.replace(/:\d+$/, '').replace(/^\[|\]$/g, '')))].sort();
+      .map(p => p.name || p.peer_addr.replace(/:\d+$/, '').replace(/^\[|\]$/g, '')))].sort(nameOrder);
     if (chosen && !names.includes(chosen)) names.push(chosen);
     setHTML($('lookup-peer'), '<option value="">any peer</option>' +
       names.map(n => `<option value="${esc(n)}"${n === chosen ? ' selected' : ''}>${esc(n)}</option>`).join(''));
diff --git a/docs/content/docs/operations/monitoring.md b/docs/content/docs/operations/monitoring.md
index 637ae78..662d1b6 100644
--- a/docs/content/docs/operations/monitoring.md
+++ b/docs/content/docs/operations/monitoring.md
@@ -40,8 +40,8 @@ Below the status line, the page displays the following information:
   session properties, number of accepted routes, rejected announcements,
   and held routes, and its last error. Neighbors that need attention are
   listed first; the others are grouped by role. The IPv4 and IPv6 sessions
-  of one neighbor, named `NAME-v4` and `NAME-v6`, are listed together and
-  joined by a bar. The **problems only** option hides the neighbors that
+  of one neighbor, named `NAME-v4` and `NAME-v6`, are listed together,
+  IPv6 first, and joined by a bar. The **problems only** option hides the neighbors that
   need no attention; the **compact** option removes the next hop and
   session columns, for a small or distant screen, and is remembered by the
   browser.