diff --git a/autoload/vimtex/syntax/core.vim b/autoload/vimtex/syntax/core.vim
index 85738c8389..0764599211 100644
--- a/autoload/vimtex/syntax/core.vim
+++ b/autoload/vimtex/syntax/core.vim
@@ -1396,16 +1396,20 @@ endfunction
 
 let s:re_sub =
       \ '[-+=()0-9aehijklmnoprstuvx]\|\\\%('
-      \ . join([
-      \     'beta', 'rho', 'phi', 'gamma', 'chi'
+      \ .. join([
+      \     'beta', 'gamma', 'rho', 'phi', 'chi'
+      \ ], '\|') . '\)\>'
+let s:re_super =
+      \ '[-+=()<>:;0-9a-qr-zA-FG-QRTUVW]\|\\\%('
+      \ .. join([
+      \     'beta', 'gamma', 'delta', 'epsilon', 'theta', 'iota', 'phi', 'chi'
       \ ], '\|') . '\)\>'
-let s:re_super = '[-+=()<>:;0-9a-pr-zABDEG-PRTUVW]'
 
 let s:map_sub = [
       \ ['\\beta\>',  'ᵦ'],
-      \ ['\\rho\>', 'ᵨ'],
-      \ ['\\phi\>',   'ᵩ'],
       \ ['\\gamma\>', 'ᵧ'],
+      \ ['\\rho\>',   'ᵨ'],
+      \ ['\\phi\>',   'ᵩ'],
       \ ['\\chi\>',   'ᵪ'],
       \ ['(',         '₍'],
       \ [')',         '₎'],
@@ -1442,6 +1446,14 @@ let s:map_sub = [
       \]
 
 let s:map_super = [
+      \ ['\\beta\>',    'ᵝ'],
+      \ ['\\gamma\>',   'ᵞ'],
+      \ ['\\delta\>',   'ᵟ'],
+      \ ['\\epsilon\>', 'ᵋ'],
+      \ ['\\theta\>',   'ᶿ'],
+      \ ['\\iota\>',    'ᶥ'],
+      \ ['\\phi\>',     'ᵠ'],
+      \ ['\\chi\>',     'ᵡ'],
       \ ['(',  '⁽'],
       \ [')',  '⁾'],
       \ ['+',  '⁺'],
@@ -1477,6 +1489,7 @@ let s:map_super = [
       \ ['n',  'ⁿ'],
       \ ['o',  'ᵒ'],
       \ ['p',  'ᵖ'],
+      \ ['q',  '𐞥'],
       \ ['r',  'ʳ'],
       \ ['s',  'ˢ'],
       \ ['t',  'ᵗ'],
@@ -1488,8 +1501,10 @@ let s:map_super = [
       \ ['z',  'ᶻ'],
       \ ['A',  'ᴬ'],
       \ ['B',  'ᴮ'],
+      \ ['C',  'ꟲ'],
       \ ['D',  'ᴰ'],
       \ ['E',  'ᴱ'],
+      \ ['F',  'ꟳ'],
       \ ['G',  'ᴳ'],
       \ ['H',  'ᴴ'],
       \ ['I',  'ᴵ'],
@@ -1500,6 +1515,7 @@ let s:map_super = [
       \ ['N',  'ᴺ'],
       \ ['O',  'ᴼ'],
       \ ['P',  'ᴾ'],
+      \ ['Q',  'ꟴ'],
       \ ['R',  'ᴿ'],
       \ ['T',  'ᵀ'],
       \ ['U',  'ᵁ'],
diff --git a/test/test-syntax/test-conceal.tex b/test/test-syntax/test-conceal.tex
index 1923d55f0e..b46fe0405b 100644
--- a/test/test-syntax/test-conceal.tex
+++ b/test/test-syntax/test-conceal.tex
@@ -22,6 +22,19 @@
 $a_\rho$
 $\ket{\psi_{i+1}}$
 
+$a^q$
+$a^C$
+$a^F$
+$a^Q$
+$a^{\beta}$
+$a^{\gamma}$
+$a^{\delta}$
+$a^{\epsilon}$
+$a^{\theta}$
+$a^{\iota}$
+$a^{\phi}$
+$a^{\chi}$
+
 $a^1$
 $a^+$
 $a^-$