| Code | Set | Inverse | Intervals | Subsets | Supersets |
|---|---|---|---|---|---|
| 1-1 | (0) |   | <000000> |   |   |
| 2-1 | (0,1) |   | <100000> |   |   |
| 2-2 | (0,2) |   | <010000> |   |   |
| 2-3 | (0,3) |   | <001000> |   |   |
| 2-4 | (0,4) |   | <000100> |   |   |
| 2-5 | (0,5) |   | <000010> |   |   |
| 2-6 | (0,6) |   | <000001> |   |   |
| 3-1 | (0,1,2) |   | <210000> |   | 127 |
| 3-2 | (0,1,3) | (0,2,3) | <111000> |   | 157 |
| 3-3 | (0,1,4) | (0,3,4) | <101100> |   | 145 |
| 3-4 | (0,1,5) | (0,4,5) | <100110> |   | 135 |
| 3-5 | (0,1,6) | (0,5,6) | <100011> |   | 149 |
| 3-6 | (0,2,4) |   | <020100> |   | 110 |
| 3-7 | (0,2,5) | (0,3,5) | <011010> |   | 137 |
| 3-8 | (0,2,6) | (0,4,6) | <010101> |   | 137 |
| 3-9 | (0,2,7) |   | <010020> |   | 94 |
| 3-10 | (0,3,6) |   | <002001> |   | 102 |
| 3-11 | (0,3,7) | (0,4,7) | <001110> |   | 151 |
| 3-12 | (0,4,8) |   | <000300> |   | 60 |
| 4-1 | (0,1,2,3) |   | <321000> | 2 | 69 |
| 4-2 | (0,1,2,4) | (0,2,3,4) | <221100> | 4 | 100 |
| 4-3 | (0,1,3,4) |   | <212100> | 2 | 81 |
| 4-4 | (0,1,2,5) | (0,3,4,5) | <211110> | 4 | 97 |
| 4-5 | (0,1,2,6) | (0,4,5,6) | <210111> | 4 | 95 |
| 4-6 | (0,1,2,7) |   | <210021> | 3 | 61 |
| 4-7 | (0,1,4,5) |   | <201210> | 2 | 65 |
| 4-8 | (0,1,5,6) |   | <200121> | 2 | 72 |
| 4-9 | (0,1,6,7) |   | <200022> | 1 | 38 |
| 4-10 | (0,2,3,5) |   | <122010> | 2 | 70 |
| 4-11 | (0,1,3,5) | (0,2,4,5) | <121110> | 4 | 94 |
| 4-12 | (0,2,3,6) | (0,3,4,6) | <112101> | 4 | 96 |
| 4-13 | (0,1,3,6) | (0,3,5,6) | <112011> | 4 | 99 |
| 4-14 | (0,2,3,7) | (0,4,5,7) | <111120> | 4 | 102 |
| 4-Z15 | (0,1,4,6) | (0,2,5,6) | <111111> | 4 | 102 |
| 4-Z29 | (0,1,3,7) | (0,4,6,7) | <111111> | 4 | 103 |
| 4-16 | (0,1,5,7) | (0,2,6,7) | <110121> | 4 | 104 |
| 4-17 | (0,3,4,7) |   | <102210> | 2 | 68 |
| 4-18 | (0,1,4,7) | (0,3,6,7) | <102111> | 4 | 90 |
| 4-19 | (0,1,4,8) | (0,3,4,8) | <101310> | 4 | 83 |
| 4-20 | (0,1,5,8) |   | <101220> | 2 | 69 |
| 4-21 | (0,2,4,6) |   | <030201> | 2 | 57 |
| 4-22 | (0,2,4,7) | (0,3,5,7) | <021120> | 4 | 86 |
| 4-23 | (0,2,5,7) |   | <021030> | 2 | 62 |
| 4-24 | (0,2,4,8) |   | <020301> | 3 | 56 |
| 4-25 | (0,2,6,8) |   | <020202> | 1 | 46 |
| 4-26 | (0,3,5,8) |   | <012120> | 2 | 74 |
| 4-27 | (0,2,5,8) | (0,3,6,8) | <012111> | 4 | 103 |
| 4-28 | (0,3,6,9) |   | <004002> | 1 | 30 |
| 5-1 | (0,1,2,3,4) |   | <432100> | 7 | 35 |
| 5-2 | (0,1,2,3,5) | (0,2,3,4,5) | <332110> | 9 | 53 |
| 5-3 | (0,1,2,4,5) | (0,1,3,4,5) | <322210> | 11 | 55 |
| 5-4 | (0,1,2,3,6) | (0,3,4,5,6) | <322111> | 11 | 53 |
| 5-5 | (0,1,2,3,7) | (0,4,5,6,7) | <321121> | 11 | 52 |
| 5-6 | (0,1,2,5,6) | (0,1,4,5,6) | <311221> | 11 | 49 |
| 5-7 | (0,1,2,6,7) | (0,1,5,6,7) | <310132> | 10 | 44 |
| 5-8 | (0,2,3,4,6) |   | <232201> | 10 | 42 |
| 5-9 | (0,1,2,4,6) | (0,2,4,5,6) | <231211> | 11 | 52 |
| 5-10 | (0,1,3,4,6) | (0,2,3,5,6) | <223111> | 10 | 52 |
| 5-11 | (0,2,3,4,7) | (0,3,4,5,7) | <222220> | 12 | 58 |
| 5-Z12 | (0,1,3,5,6) |   | <222121> | 10 | 41 |
| 5-Z36 | (0,1,2,4,7) | (0,3,5,6,7) | <222121> | 13 | 54 |
| 5-13 | (0,1,2,4,8) | (0,2,3,4,8) | <221311> | 12 | 51 |
| 5-14 | (0,1,2,5,7) | (0,2,5,6,7) | <221131> | 11 | 44 |
| 5-15 | (0,1,2,6,8) |   | <220222> | 7 | 31 |
| 5-16 | (0,1,3,4,7) | (0,3,4,6,7) | <213211> | 10 | 51 |
| 5-Z17 | (0,1,3,4,8) |   | <212320> | 9 | 37 |
| 5-Z37 | (0,3,4,5,8) |   | <212320> | 9 | 40 |
| 5-Z18 | (0,1,4,5,7) | (0,2,3,6,7) | <212221> | 11 | 56 |
| 5-Z38 | (0,1,2,5,8) | (0,3,6,7,8) | <212221> | 12 | 61 |
| 5-19 | (0,1,3,6,7) | (0,1,4,6,7) | <212122> | 12 | 48 |
| 5-20 | (0,1,5,6,8) | (0,2,3,7,8) | <211231> | 11 | 46 |
| 5-21 | (0,1,4,5,8) | (0,3,4,7,8) | <202420> | 8 | 50 |
| 5-22 | (0,1,4,7,8) |   | <202321> | 9 | 41 |
| 5-23 | (0,2,3,5,7) | (0,2,4,5,7) | <132130> | 11 | 46 |
| 5-24 | (0,1,3,5,7) | (0,2,4,6,7) | <131221> | 12 | 51 |
| 5-25 | (0,2,3,5,8) | (0,3,5,6,8) | <123121> | 10 | 57 |
| 5-26 | (0,2,4,5,8) | (0,3,4,6,8) | <122311> | 13 | 56 |
| 5-27 | (0,1,3,5,8) | (0,3,5,7,8) | <122230> | 11 | 53 |
| 5-28 | (0,2,3,6,8) | (0,2,5,6,8) | <122212> | 12 | 58 |
| 5-29 | (0,1,3,6,8) | (0,2,5,7,8) | <122131> | 12 | 65 |
| 5-30 | (0,1,4,6,8) | (0,2,4,7,8) | <121321> | 13 | 59 |
| 5-31 | (0,1,3,6,9) | (0,2,3,6,9) | <114112> | 10 | 38 |
| 5-32 | (0,1,4,6,9) | (0,2,5,6,9) | <113221> | 11 | 50 |
| 5-33 | (0,2,4,6,8) |   | <040402> | 6 | 30 |
| 5-34 | (0,2,4,6,9) |   | <032221> | 8 | 43 |
| 5-35 | (0,2,4,7,9) |   | <032140> | 7 | 35 |
| 6-1 | (0,1,2,3,4,5) |   | <543210> | 16 | 16 |
| 6-2 | (0,1,2,3,4,6) | (0,2,3,4,5,6) | <443211> | 21 | 26 |
| 6-Z3 | (0,1,2,3,5,6) | (0,1,3,4,5,6) | <433221> | 24 | 30 |
| 6-Z36 | (0,1,2,3,4,7) | (0,3,4,5,6,7) | <433221> | 23 | 25 |
| 6-Z4 | (0,1,2,4,5,6) |   | <432321> | 21 | 23 |
| 6-Z37 | (0,1,2,3,4,8) |   | <432321> | 20 | 17 |
| 6-5 | (0,1,2,3,6,7) | (0,1,4,5,6,7) | <422232> | 26 | 28 |
| 6-Z6 | (0,1,2,5,6,7) |   | <421242> | 21 | 17 |
| 6-Z38 | (0,1,2,3,7,8) |   | <421242> | 18 | 16 |
| 6-7 | (0,1,2,6,7,8) |   | <420243> | 15 | 10 |
| 6-8 | (0,2,3,4,5,7) |   | <343230> | 23 | 21 |
| 6-9 | (0,1,2,3,5,7) | (0,2,4,5,6,7) | <342231> | 25 | 26 |
| 6-Z10 | (0,1,3,4,5,7) | (0,2,3,4,6,7) | <333321> | 26 | 30 |
| 6-Z39 | (0,2,3,4,5,8) | (0,3,4,5,6,8) | <333321> | 27 | 30 |
| 6-Z11 | (0,1,2,4,5,7) | (0,2,3,5,6,7) | <333231> | 28 | 29 |
| 6-Z40 | (0,1,2,3,5,8) | (0,3,5,6,7,8) | <333231> | 24 | 32 |
| 6-Z12 | (0,1,2,4,6,7) | (0,1,3,5,6,7) | <332232> | 25 | 27 |
| 6-Z41 | (0,1,2,3,6,8) | (0,2,5,6,7,8) | <332232> | 26 | 30 |
| 6-Z13 | (0,1,3,4,6,7) |   | <324222> | 21 | 18 |
| 6-Z42 | (0,1,2,3,6,9) |   | <324222> | 18 | 18 |
| 6-14 | (0,1,3,4,5,8) | (0,3,4,5,7,8) | <323430> | 25 | 27 |
| 6-15 | (0,1,2,4,5,8) | (0,3,4,6,7,8) | <323421> | 27 | 32 |
| 6-16 | (0,1,4,5,6,8) | (0,2,3,4,7,8) | <322431> | 27 | 29 |
| 6-Z17 | (0,1,2,5,6,8) | (0,2,3,6,7,8) | <322332> | 26 | 26 |
| 6-Z43 | (0,1,2,4,7,8) | (0,1,4,6,7,8) | <322332> | 29 | 30 |
| 6-18 | (0,1,2,5,7,8) | (0,1,3,6,7,8) | <322242> | 27 | 28 |
| 6-Z19 | (0,1,3,4,7,8) | (0,1,4,5,7,8) | <313431> | 25 | 25 |
| 6-Z44 | (0,1,2,5,6,9) | (0,1,4,5,6,9) | <313431> | 24 | 24 |
| 6-20 | (0,1,4,5,8,9) |   | <303630> | 11 | 8 |
| 6-21 | (0,2,3,4,6,8) | (0,2,4,5,6,8) | <242412> | 27 | 26 |
| 6-22 | (0,1,2,4,6,8) | (0,2,4,6,7,8) | <241422> | 24 | 23 |
| 6-Z23 | (0,2,3,5,6,8) |   | <234222> | 21 | 18 |
| 6-Z45 | (0,2,3,4,6,9) |   | <234222> | 22 | 19 |
| 6-Z24 | (0,1,3,4,6,8) | (0,2,4,5,7,8) | <233331> | 28 | 29 |
| 6-Z46 | (0,1,2,4,6,9) | (0,2,4,5,6,9) | <233331> | 26 | 29 |
| 6-Z25 | (0,1,3,5,6,8) | (0,2,3,5,7,8) | <233241> | 26 | 27 |
| 6-Z47 | (0,1,2,4,7,9) | (0,2,3,4,7,9) | <233241> | 25 | 25 |
| 6-Z26 | (0,1,3,5,7,8) |   | <232341> | 21 | 18 |
| 6-Z48 | (0,1,2,5,7,9) |   | <232341> | 22 | 17 |
| 6-27 | (0,1,3,4,6,9) | (0,2,3,5,6,9) | <225222> | 21 | 24 |
| 6-Z28 | (0,1,3,5,6,9) |   | <224322> | 22 | 19 |
| 6-Z49 | (0,1,3,4,7,9) |   | <224322> | 20 | 20 |
| 6-Z29 | (0,2,3,6,7,9) |   | <224232> | 22 | 21 |
| 6-Z50 | (0,1,4,6,7,9) |   | <224232> | 19 | 18 |
| 6-30 | (0,1,3,6,7,9) | (0,2,3,6,8,9) | <224223> | 20 | 19 |
| 6-31 | (0,1,4,5,7,9) | (0,2,4,5,8,9) | <223431> | 28 | 30 |
| 6-32 | (0,2,4,5,7,9) |   | <143250> | 18 | 17 |
| 6-33 | (0,2,3,5,7,9) | (0,2,4,6,7,9) | <143241> | 25 | 28 |
| 6-34 | (0,1,3,5,7,9) | (0,2,4,6,8,9) | <142422> | 25 | 28 |
| 6-35 | (0,2,4,6,8,A) |   | <060603> | 7 | 7 |
| 7-1 | (0,1,2,3,4,5,6) |   | <654321> | 35 | 7 |
| 7-2 | (0,1,2,3,4,5,7) | (0,2,3,4,5,6,7) | <554331> | 42 | 11 |
| 7-3 | (0,1,2,3,4,5,8) | (0,3,4,5,6,7,8) | <544431> | 44 | 11 |
| 7-4 | (0,1,2,3,4,6,7) | (0,1,3,4,5,6,7) | <544332> | 47 | 13 |
| 7-5 | (0,1,2,3,5,6,7) | (0,1,2,4,5,6,7) | <543342> | 49 | 12 |
| 7-6 | (0,1,2,3,4,7,8) | (0,1,4,5,6,7,8) | <533442> | 48 | 11 |
| 7-7 | (0,1,2,3,6,7,8) | (0,1,2,5,6,7,8) | <532353> | 44 | 10 |
| 7-8 | (0,2,3,4,5,6,8) |   | <454422> | 49 | 9 |
| 7-9 | (0,1,2,3,4,6,8) | (0,2,4,5,6,7,8) | <453432> | 48 | 11 |
| 7-10 | (0,1,2,3,4,6,9) | (0,2,3,4,5,6,9) | <445332> | 43 | 12 |
| 7-11 | (0,1,3,4,5,6,8) | (0,2,3,4,5,7,8) | <444441> | 54 | 14 |
| 7-Z12 | (0,1,2,3,4,7,9) |   | <444342> | 40 | 7 |
| 7-Z36 | (0,1,2,3,5,6,8) | (0,2,3,5,6,7,8) | <444342> | 48 | 12 |
| 7-13 | (0,1,2,4,5,6,8) | (0,2,3,4,6,7,8) | <443532> | 50 | 13 |
| 7-14 | (0,1,2,3,5,7,8) | (0,1,3,5,6,7,8) | <443352> | 46 | 10 |
| 7-15 | (0,1,2,4,6,7,8) |   | <442443> | 43 | 7 |
| 7-16 | (0,1,2,3,5,6,9) | (0,1,3,4,5,6,9) | <435432> | 47 | 10 |
| 7-Z17 | (0,1,2,4,5,6,9) |   | <434541> | 45 | 7 |
| 7-Z37 | (0,1,3,4,5,7,8) |   | <434541> | 46 | 8 |
| 7-Z18 | (0,1,4,5,6,7,9) | (0,2,3,4,5,8,9) | <434442> | 54 | 13 |
| 7-Z38 | (0,1,2,4,5,7,8) | (0,1,3,4,6,7,8) | <434442> | 53 | 13 |
| 7-19 | (0,1,2,3,6,7,9) | (0,1,2,3,6,8,9) | <434343> | 45 | 10 |
| 7-20 | (0,1,2,5,6,7,9) | (0,2,3,4,7,8,9) | <433452> | 48 | 10 |
| 7-21 | (0,1,2,4,5,8,9) | (0,1,3,4,5,8,9) | <424641> | 46 | 8 |
| 7-22 | (0,1,2,5,6,8,9) |   | <424542> | 40 | 7 |
| 7-23 | (0,2,3,4,5,7,9) | (0,2,4,5,6,7,9) | <354351> | 50 | 12 |
| 7-24 | (0,1,2,3,5,7,9) | (0,2,4,6,7,8,9) | <353442> | 51 | 13 |
| 7-25 | (0,2,3,4,6,7,9) | (0,2,3,5,6,7,9) | <345342> | 53 | 11 |
| 7-26 | (0,1,3,4,5,7,9) | (0,2,4,5,6,8,9) | <344532> | 54 | 14 |
| 7-27 | (0,1,2,4,5,7,9) | (0,2,4,5,7,8,9) | <344451> | 51 | 11 |
| 7-28 | (0,1,3,5,6,7,9) | (0,2,3,4,6,8,9) | <344433> | 50 | 13 |
| 7-29 | (0,1,2,4,6,7,9) | (0,2,3,5,7,8,9) | <344352> | 53 | 13 |
| 7-30 | (0,1,2,4,6,8,9) | (0,1,3,5,7,8,9) | <343542> | 50 | 13 |
| 7-31 | (0,1,3,4,6,7,9) | (0,2,3,5,6,8,9) | <336333> | 37 | 11 |
| 7-32 | (0,1,3,4,6,8,9) | (0,1,3,5,6,8,9) | <335442> | 50 | 11 |
| 7-33 | (0,1,2,4,6,8,A) |   | <262623> | 35 | 6 |
| 7-34 | (0,1,3,4,6,8,A) |   | <254442> | 40 | 9 |
| 7-35 | (0,1,3,5,6,8,A) |   | <254361> | 38 | 7 |
| 8-1 | (0,1,2,3,4,5,6,7) |   | <765442> | 69 | 2 |
| 8-2 | (0,1,2,3,4,5,6,8) | (0,2,3,4,5,6,7,8) | <665542> | 82 | 4 |
| 8-3 | (0,1,2,3,4,5,6,9) |   | <656542> | 73 | 2 |
| 8-4 | (0,1,2,3,4,5,7,8) | (0,1,3,4,5,6,7,8) | <655552> | 86 | 4 |
| 8-5 | (0,1,2,3,4,6,7,8) | (0,1,2,4,5,6,7,8) | <654553> | 90 | 4 |
| 8-6 | (0,1,2,3,5,6,7,8) |   | <654463> | 77 | 3 |
| 8-7 | (0,1,2,3,4,5,8,9) |   | <645652> | 72 | 2 |
| 8-8 | (0,1,2,3,4,7,8,9) |   | <644563> | 79 | 2 |
| 8-9 | (0,1,2,3,6,7,8,9) |   | <644464> | 59 | 1 |
| 8-10 | (0,2,3,4,5,6,7,9) |   | <566452> | 85 | 2 |
| 8-11 | (0,1,2,3,4,5,7,9) | (0,2,4,5,6,7,8,9) | <565552> | 85 | 4 |
| 8-12 | (0,1,3,4,5,6,7,9) | (0,2,3,4,5,6,8,9) | <556543> | 95 | 4 |
| 8-13 | (0,1,2,3,4,6,7,9) | (0,2,3,5,6,7,8,9) | <556453> | 85 | 4 |
| 8-14 | (0,1,2,4,5,6,7,9) | (0,2,3,4,5,7,8,9) | <555562> | 94 | 4 |
| 8-Z15 | (0,1,2,3,4,6,8,9) | (0,1,3,5,6,7,8,9) | <555553> | 93 | 4 |
| 8-Z29 | (0,1,2,3,5,6,7,9) | (0,2,3,4,6,7,8,9) | <555553> | 94 | 4 |
| 8-16 | (0,1,2,3,5,7,8,9) | (0,1,2,4,6,7,8,9) | <554563> | 90 | 4 |
| 8-17 | (0,1,3,4,5,6,8,9) |   | <546652> | 82 | 2 |
| 8-18 | (0,1,2,3,5,6,8,9) | (0,1,3,4,6,7,8,9) | <546553> | 87 | 4 |
| 8-19 | (0,1,2,4,5,6,8,9) | (0,1,3,4,5,7,8,9) | <545752> | 83 | 4 |
| 8-20 | (0,1,2,4,5,7,8,9) |   | <545662> | 83 | 2 |
| 8-21 | (0,1,2,3,4,6,8,A) |   | <474643> | 66 | 2 |
| 8-22 | (0,1,2,3,5,6,8,A) | (0,1,3,4,5,6,8,A) | <465562> | 85 | 4 |
| 8-23 | (0,1,2,3,5,7,8,A) |   | <465472> | 63 | 2 |
| 8-24 | (0,1,2,4,5,6,8,A) |   | <464743> | 74 | 3 |
| 8-25 | (0,1,2,4,6,7,8,A) |   | <464644> | 66 | 1 |
| 8-26 | (0,1,3,4,5,7,8,A) |   | <456562> | 83 | 2 |
| 8-27 | (0,1,2,4,5,7,8,A) | (0,1,3,4,6,7,8,A) | <456553> | 88 | 4 |
| 8-28 | (0,1,3,4,6,7,9,A) |   | <448444> | 50 | 1 |
| 9-1 | (0,1,2,3,4,5,6,7,8) |   | <876663> | 127 |   |
| 9-2 | (0,1,2,3,4,5,6,7,9) | (0,2,3,4,5,6,7,8,9) | <777663> | 136 |   |
| 9-3 | (0,1,2,3,4,5,6,8,9) | (0,1,3,4,5,6,7,8,9) | <767763> | 135 |   |
| 9-4 | (0,1,2,3,4,5,7,8,9) | (0,1,2,4,5,6,7,8,9) | <766773> | 137 |   |
| 9-5 | (0,1,2,3,4,6,7,8,9) | (0,1,2,3,5,6,7,8,9) | <766674> | 145 |   |
| 9-6 | (0,1,2,3,4,5,6,8,A) |   | <686763> | 117 |   |
| 9-7 | (0,1,2,3,4,5,7,8,A) | (0,1,3,4,5,6,7,8,A) | <677673> | 137 |   |
| 9-8 | (0,1,2,3,4,6,7,8,A) | (0,1,2,4,5,6,7,8,A) | <676764> | 142 |   |
| 9-9 | (0,1,2,3,5,6,7,8,A) |   | <676683> | 124 |   |
| 9-10 | (0,1,2,3,4,6,7,9,A) |   | <668664> | 120 |   |
| 9-11 | (0,1,2,3,5,6,7,9,A) | (0,1,2,4,5,6,7,9,A) | <667773> | 135 |   |
| 9-12 | (0,1,2,4,5,6,8,9,A) |   | <666963> | 103 |   |
| 10-1 | (0,1,2,3,4,5,6,7,8,9) |   | <988884> |   |   |
| 10-2 | (0,1,2,3,4,5,6,7,8,A) |   | <898884> |   |   |
| 10-3 | (0,1,2,3,4,5,6,7,9,A) |   | <889884> |   |   |
| 10-4 | (0,1,2,3,4,5,6,8,9,A) |   | <888984> |   |   |
| 10-5 | (0,1,2,3,4,5,7,8,9,A) |   | <888894> |   |   |
| 10-6 | (0,1,2,3,4,6,7,8,9,A) |   | <888885> |   |   |
| 11-1 | (0,1,2,3,4,5,6,7,8,9,A) |   | <AAAAA5> |   |   |
| 12-1 | (0,1,2,3,4,5,6,7,8,9,A,B) |   | <CCCCC6> |   |   |