diff --git a/lisp/international/fontset.el b/lisp/international/fontset.el
index b00f1f2fe4d..4e31ffc3de3 100644
--- a/lisp/international/fontset.el
+++ b/lisp/international/fontset.el
@@ -106,8 +106,9 @@
 	("jisx0213.2000-2" . japanese-jisx0213-2)
 	("jisx0213.2004-1" . japanese-jisx0213.2004-1)
 	("abobe-symbol" . symbol)
-	("iso10646-1" . (unicode . nil))
-	("iso10646.indian-1" . (unicode . nil))))
+	("iso10646-1$" . (unicode-bmp . nil))
+	("iso10646-2$" . (unicode-sip . nil))
+	("iso10646.indian-1" . (unicode-bmp . nil))))
 
 
 ;; Set standard fontname specification of characters in the default