Order 2160.
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | C16 | C17 | C18 | C19 | C20 | C21 | C22 | C23 | C24 | C25 | C26 | C27 | C28 | C29 | C30 | C31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 1 | 1 | 1 | 1 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 90 | 90 | 90 | 90 | 90 | 90 | 90 | 90 | 90 | 120 | 120 | 120 | 120 |
| order | 1 | 2 | 3 | 3 | 6 | 6 | 5 | 5 | 10 | 10 | 15 | 15 | 15 | 15 | 30 | 30 | 30 | 30 | 4 | 8 | 8 | 12 | 12 | 24 | 24 | 24 | 24 | 3 | 3 | 6 | 6 |
| χ1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| χ2 | 3 | 3 | ζ4+ζ76 | ζ28+ζ52 | ζ44+ζ116 | ζ68+ζ92 | ζ4+ζ76 | ζ28+ζ52 | ζ44+ζ116 | ζ68+ζ92 | -1 | 1 | 1 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ3 | 3 | 3 | ζ28+ζ52 | ζ4+ζ76 | ζ68+ζ92 | ζ44+ζ116 | ζ28+ζ52 | ζ4+ζ76 | ζ68+ζ92 | ζ44+ζ116 | -1 | 1 | 1 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ4 | 3 | 3 | ζ44+ζ116 | ζ68+ζ92 | ζ4+ζ76 | ζ28+ζ52 | ζ44+ζ116 | ζ68+ζ92 | ζ4+ζ76 | ζ28+ζ52 | -1 | 1 | 1 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ5 | 3 | 3 | ζ68+ζ92 | ζ44+ζ116 | ζ28+ζ52 | ζ4+ζ76 | ζ68+ζ92 | ζ44+ζ116 | ζ28+ζ52 | ζ4+ζ76 | -1 | 1 | 1 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ6 | 4 | -4 | 4 | 4 | -4 | -4 | -1 | -1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -2 | 2 | -1 |
| χ7 | 4 | -4 | 4 | 4 | -4 | -4 | -1 | -1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -2 | 1 | -1 | 2 |
| χ8 | 5 | 5 | 5 | 5 | 5 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | -1 | -1 | 2 | -1 | -1 | 2 |
| χ9 | 5 | 5 | 5 | 5 | 5 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | 2 | 2 | -1 |
| χ10 | 6 | 6 | 1 | 1 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ11 | 6 | 6 | 1 | 1 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ12 | 6 | -6 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | −ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119 | ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119 | ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109 | −ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ13 | 6 | -6 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119 | −ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119 | −ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109 | ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ14 | 6 | -6 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | −ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109 | ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109 | ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119 | −ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ15 | 6 | -6 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109 | −ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109 | −ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119 | ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ16 | 8 | 8 | 8 | 8 | 8 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | -1 | -1 | ||||||||||||
| χ17 | 8 | 8 | 8 | 8 | 8 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | -1 | -1 | ||||||||||||
| χ18 | 8 | -8 | 8 | 8 | -8 | -8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | 1 | 1 | ||||||||||||
| χ19 | 8 | -8 | 8 | 8 | -8 | -8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | 1 | 1 | ||||||||||||
| χ20 | 9 | 9 | 9 | 9 | 9 | 9 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
| χ21 | 9 | 9 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ22 | 9 | 9 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ23 | 10 | 10 | 10 | 10 | 10 | 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -2 | 0 | 0 | -2 | -2 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 |
| χ24 | 10 | -10 | 10 | 10 | -10 | -10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | -1 | -1 | ||||||
| χ25 | 10 | -10 | 10 | 10 | -10 | -10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | -1 | -1 | ||||||
| χ26 | 12 | -12 | −ζ4−ζ76 | −ζ28−ζ52 | −ζ44−ζ116 | −ζ68−ζ92 | ζ4+ζ76 | ζ28+ζ52 | ζ44+ζ116 | ζ68+ζ92 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ27 | 12 | -12 | −ζ28−ζ52 | −ζ4−ζ76 | −ζ68−ζ92 | −ζ44−ζ116 | ζ28+ζ52 | ζ4+ζ76 | ζ68+ζ92 | ζ44+ζ116 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ28 | 12 | -12 | −ζ44−ζ116 | −ζ68−ζ92 | −ζ4−ζ76 | −ζ28−ζ52 | ζ44+ζ116 | ζ68+ζ92 | ζ4+ζ76 | ζ28+ζ52 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ29 | 12 | -12 | −ζ68−ζ92 | −ζ44−ζ116 | −ζ28−ζ52 | −ζ4−ζ76 | ζ68+ζ92 | ζ44+ζ116 | ζ28+ζ52 | ζ4+ζ76 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ30 | 15 | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | ||||||||||
| χ31 | 15 | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | -1 | 0 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.