Order 1920.
| 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 | C32 | C33 | C34 | C35 | C36 | C37 | C38 | C39 | C40 | C41 | C42 | C43 | C44 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 2 | 15 | 15 | 16 | 16 | 16 | 16 | 30 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 40 | 40 | 120 | 120 | 160 | 160 | 160 | 160 |
| order | 1 | 2 | 2 | 2 | 2 | 3 | 3 | 6 | 6 | 2 | 5 | 5 | 6 | 6 | 10 | 10 | 10 | 10 | 10 | 10 | 15 | 15 | 15 | 15 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 2 | 4 | 4 | 4 | 6 | 6 | 12 | 12 |
| 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 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| χ2 | 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 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
| χ3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||||||||||||||||||||||||||
| χ4 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | ||||||||||||||||||||||||||
| χ5 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||||||||||||||||||||||||||
| χ6 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | ||||||||||||||||||||||||||
| χ7 | 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 | 1 | -1 | -1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | -1 |
| χ8 | 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 | 1 | -1 | -1 | -1 | -1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | 1 |
| χ9 | 1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | -1 | 1 | -1 | ||||||||||||||||||||||||||
| χ10 | 1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | 1 | -1 | 1 | ||||||||||||||||||||||||||
| χ11 | 1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | -1 | 1 | -1 | ||||||||||||||||||||||||||
| χ12 | 1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | 1 | -1 | 1 | ||||||||||||||||||||||||||
| χ13 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||||||||
| χ14 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||||||||
| χ15 | 2 | 2 | 2 | 2 | 2 | 2 | ζ2+ζ8 | ζ11+ζ14 | ζ7+ζ13 | ζ+ζ4 | ζ2+ζ8 | ζ11+ζ14 | ζ2+ζ8 | ζ2+ζ8 | ζ11+ζ14 | ζ11+ζ14 | ζ7+ζ13 | ζ+ζ4 | ζ7+ζ13 | ζ7+ζ13 | ζ+ζ4 | ζ+ζ4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ16 | 2 | 2 | 2 | 2 | 2 | 2 | ζ11+ζ14 | ζ2+ζ8 | ζ+ζ4 | ζ7+ζ13 | ζ11+ζ14 | ζ2+ζ8 | ζ11+ζ14 | ζ11+ζ14 | ζ2+ζ8 | ζ2+ζ8 | ζ+ζ4 | ζ7+ζ13 | ζ+ζ4 | ζ+ζ4 | ζ7+ζ13 | ζ7+ζ13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ17 | 2 | 2 | 2 | 2 | 2 | 2 | ζ7+ζ13 | ζ+ζ4 | ζ2+ζ8 | ζ11+ζ14 | ζ7+ζ13 | ζ+ζ4 | ζ7+ζ13 | ζ7+ζ13 | ζ+ζ4 | ζ+ζ4 | ζ2+ζ8 | ζ11+ζ14 | ζ2+ζ8 | ζ2+ζ8 | ζ11+ζ14 | ζ11+ζ14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ18 | 2 | 2 | 2 | 2 | 2 | 2 | ζ+ζ4 | ζ7+ζ13 | ζ11+ζ14 | ζ2+ζ8 | ζ+ζ4 | ζ7+ζ13 | ζ+ζ4 | ζ+ζ4 | ζ7+ζ13 | ζ7+ζ13 | ζ11+ζ14 | ζ2+ζ8 | ζ11+ζ14 | ζ11+ζ14 | ζ2+ζ8 | ζ2+ζ8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ19 | 2 | 2 | -2 | 2 | 2 | 2 | 2 | 2 | 2 | -2 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||||||||
| χ20 | 2 | 2 | -2 | 2 | 2 | 2 | 2 | 2 | 2 | -2 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||||||||
| χ21 | 2 | 2 | -2 | 2 | 2 | -2 | ζ2+ζ8 | ζ11+ζ14 | ζ7+ζ13 | ζ+ζ4 | ζ2+ζ8 | ζ11+ζ14 | −ζ2−ζ8 | −ζ2−ζ8 | −ζ11−ζ14 | −ζ11−ζ14 | ζ7+ζ13 | ζ+ζ4 | −ζ7−ζ13 | −ζ7−ζ13 | −ζ−ζ4 | −ζ−ζ4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ22 | 2 | 2 | -2 | 2 | 2 | -2 | ζ11+ζ14 | ζ2+ζ8 | ζ+ζ4 | ζ7+ζ13 | ζ11+ζ14 | ζ2+ζ8 | −ζ11−ζ14 | −ζ11−ζ14 | −ζ2−ζ8 | −ζ2−ζ8 | ζ+ζ4 | ζ7+ζ13 | −ζ−ζ4 | −ζ−ζ4 | −ζ7−ζ13 | −ζ7−ζ13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ23 | 2 | 2 | -2 | 2 | 2 | -2 | ζ7+ζ13 | ζ+ζ4 | ζ2+ζ8 | ζ11+ζ14 | ζ7+ζ13 | ζ+ζ4 | −ζ7−ζ13 | −ζ7−ζ13 | −ζ−ζ4 | −ζ−ζ4 | ζ2+ζ8 | ζ11+ζ14 | −ζ2−ζ8 | −ζ2−ζ8 | −ζ11−ζ14 | −ζ11−ζ14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ24 | 2 | 2 | -2 | 2 | 2 | -2 | ζ+ζ4 | ζ7+ζ13 | ζ11+ζ14 | ζ2+ζ8 | ζ+ζ4 | ζ7+ζ13 | −ζ−ζ4 | −ζ−ζ4 | −ζ7−ζ13 | −ζ7−ζ13 | ζ11+ζ14 | ζ2+ζ8 | −ζ11−ζ14 | −ζ11−ζ14 | −ζ2−ζ8 | −ζ2−ζ8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ25 | 2 | -2 | 0 | 2 | -2 | 2 | 2 | -2 | -2 | 0 | 2 | 2 | 0 | 0 | -2 | -2 | 0 | 0 | 0 | 0 | 2 | 2 | 2 | 2 | -2 | -2 | 0 | 0 | 0 | 0 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ26 | 2 | -2 | 0 | 2 | -2 | 2 | 2 | -2 | -2 | 0 | 0 | 0 | ζ2+ζ7−ζ8−ζ13 | −ζ2−ζ7+ζ8+ζ13 | −ζ+ζ4−ζ11+ζ14 | ζ−ζ4+ζ11−ζ14 | ζ2+ζ7−ζ8−ζ13 | −ζ2−ζ7+ζ8+ζ13 | −ζ+ζ4−ζ11+ζ14 | ζ−ζ4+ζ11−ζ14 | ζ2+ζ7−ζ8−ζ13 | −ζ2−ζ7+ζ8+ζ13 | −ζ+ζ4−ζ11+ζ14 | ζ−ζ4+ζ11−ζ14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ27 | 2 | -2 | 0 | 2 | -2 | 2 | 2 | -2 | -2 | 0 | 0 | 0 | −ζ2−ζ7+ζ8+ζ13 | ζ2+ζ7−ζ8−ζ13 | ζ−ζ4+ζ11−ζ14 | −ζ+ζ4−ζ11+ζ14 | −ζ2−ζ7+ζ8+ζ13 | ζ2+ζ7−ζ8−ζ13 | ζ−ζ4+ζ11−ζ14 | −ζ+ζ4−ζ11+ζ14 | −ζ2−ζ7+ζ8+ζ13 | ζ2+ζ7−ζ8−ζ13 | ζ−ζ4+ζ11−ζ14 | −ζ+ζ4−ζ11+ζ14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ28 | 2 | -2 | 0 | 2 | -2 | 2 | 2 | -2 | -2 | 0 | 0 | 0 | −ζ+ζ4−ζ11+ζ14 | ζ−ζ4+ζ11−ζ14 | −ζ2−ζ7+ζ8+ζ13 | ζ2+ζ7−ζ8−ζ13 | −ζ+ζ4−ζ11+ζ14 | ζ−ζ4+ζ11−ζ14 | −ζ2−ζ7+ζ8+ζ13 | ζ2+ζ7−ζ8−ζ13 | −ζ+ζ4−ζ11+ζ14 | ζ−ζ4+ζ11−ζ14 | −ζ2−ζ7+ζ8+ζ13 | ζ2+ζ7−ζ8−ζ13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ29 | 2 | -2 | 0 | 2 | -2 | 2 | 2 | -2 | -2 | 0 | 0 | 0 | ζ−ζ4+ζ11−ζ14 | −ζ+ζ4−ζ11+ζ14 | ζ2+ζ7−ζ8−ζ13 | −ζ2−ζ7+ζ8+ζ13 | ζ−ζ4+ζ11−ζ14 | −ζ+ζ4−ζ11+ζ14 | ζ2+ζ7−ζ8−ζ13 | −ζ2−ζ7+ζ8+ζ13 | ζ−ζ4+ζ11−ζ14 | −ζ+ζ4−ζ11+ζ14 | ζ2+ζ7−ζ8−ζ13 | −ζ2−ζ7+ζ8+ζ13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ30 | 2 | -2 | 0 | 2 | -2 | 0 | 2 | 2 | 0 | 0 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ31 | 2 | -2 | 0 | 2 | -2 | 0 | 0 | 0 | ζ2+ζ7−ζ8−ζ13 | −ζ2−ζ7+ζ8+ζ13 | −ζ+ζ4−ζ11+ζ14 | ζ−ζ4+ζ11−ζ14 | ζ2+ζ8 | ζ11+ζ14 | ζ7+ζ13 | ζ+ζ4 | −ζ2−ζ8 | −ζ11−ζ14 | −ζ2+ζ8 | ζ2−ζ8 | ζ11−ζ14 | −ζ11+ζ14 | −ζ7−ζ13 | −ζ−ζ4 | −ζ7+ζ13 | ζ7−ζ13 | ζ−ζ4 | −ζ+ζ4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ32 | 2 | -2 | 0 | 2 | -2 | 0 | 0 | 0 | −ζ2−ζ7+ζ8+ζ13 | ζ2+ζ7−ζ8−ζ13 | ζ−ζ4+ζ11−ζ14 | −ζ+ζ4−ζ11+ζ14 | ζ2+ζ8 | ζ11+ζ14 | ζ7+ζ13 | ζ+ζ4 | −ζ2−ζ8 | −ζ11−ζ14 | ζ2−ζ8 | −ζ2+ζ8 | −ζ11+ζ14 | ζ11−ζ14 | −ζ7−ζ13 | −ζ−ζ4 | ζ7−ζ13 | −ζ7+ζ13 | −ζ+ζ4 | ζ−ζ4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ33 | 2 | -2 | 0 | 2 | -2 | 0 | 0 | 0 | −ζ+ζ4−ζ11+ζ14 | ζ−ζ4+ζ11−ζ14 | −ζ2−ζ7+ζ8+ζ13 | ζ2+ζ7−ζ8−ζ13 | ζ11+ζ14 | ζ2+ζ8 | ζ+ζ4 | ζ7+ζ13 | −ζ11−ζ14 | −ζ2−ζ8 | ζ11−ζ14 | −ζ11+ζ14 | ζ2−ζ8 | −ζ2+ζ8 | −ζ−ζ4 | −ζ7−ζ13 | ζ−ζ4 | −ζ+ζ4 | ζ7−ζ13 | −ζ7+ζ13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ34 | 2 | -2 | 0 | 2 | -2 | 0 | 0 | 0 | ζ−ζ4+ζ11−ζ14 | −ζ+ζ4−ζ11+ζ14 | ζ2+ζ7−ζ8−ζ13 | −ζ2−ζ7+ζ8+ζ13 | ζ11+ζ14 | ζ2+ζ8 | ζ+ζ4 | ζ7+ζ13 | −ζ11−ζ14 | −ζ2−ζ8 | −ζ11+ζ14 | ζ11−ζ14 | −ζ2+ζ8 | ζ2−ζ8 | −ζ−ζ4 | −ζ7−ζ13 | −ζ+ζ4 | ζ−ζ4 | −ζ7+ζ13 | ζ7−ζ13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ35 | 2 | -2 | 0 | 2 | -2 | 0 | 2 | 2 | 0 | 0 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ36 | 2 | -2 | 0 | 2 | -2 | 0 | 0 | 0 | ζ2+ζ7−ζ8−ζ13 | −ζ2−ζ7+ζ8+ζ13 | −ζ+ζ4−ζ11+ζ14 | ζ−ζ4+ζ11−ζ14 | ζ7+ζ13 | ζ+ζ4 | ζ2+ζ8 | ζ11+ζ14 | −ζ7−ζ13 | −ζ−ζ4 | −ζ7+ζ13 | ζ7−ζ13 | ζ−ζ4 | −ζ+ζ4 | −ζ2−ζ8 | −ζ11−ζ14 | −ζ2+ζ8 | ζ2−ζ8 | ζ11−ζ14 | −ζ11+ζ14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ37 | 2 | -2 | 0 | 2 | -2 | 0 | 0 | 0 | −ζ2−ζ7+ζ8+ζ13 | ζ2+ζ7−ζ8−ζ13 | ζ−ζ4+ζ11−ζ14 | −ζ+ζ4−ζ11+ζ14 | ζ7+ζ13 | ζ+ζ4 | ζ2+ζ8 | ζ11+ζ14 | −ζ7−ζ13 | −ζ−ζ4 | ζ7−ζ13 | −ζ7+ζ13 | −ζ+ζ4 | ζ−ζ4 | −ζ2−ζ8 | −ζ11−ζ14 | ζ2−ζ8 | −ζ2+ζ8 | −ζ11+ζ14 | ζ11−ζ14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ38 | 2 | -2 | 0 | 2 | -2 | 0 | 0 | 0 | −ζ+ζ4−ζ11+ζ14 | ζ−ζ4+ζ11−ζ14 | −ζ2−ζ7+ζ8+ζ13 | ζ2+ζ7−ζ8−ζ13 | ζ+ζ4 | ζ7+ζ13 | ζ11+ζ14 | ζ2+ζ8 | −ζ−ζ4 | −ζ7−ζ13 | ζ−ζ4 | −ζ+ζ4 | ζ7−ζ13 | −ζ7+ζ13 | −ζ11−ζ14 | −ζ2−ζ8 | ζ11−ζ14 | −ζ11+ζ14 | ζ2−ζ8 | −ζ2+ζ8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ39 | 2 | -2 | 0 | 2 | -2 | 0 | 0 | 0 | ζ−ζ4+ζ11−ζ14 | −ζ+ζ4−ζ11+ζ14 | ζ2+ζ7−ζ8−ζ13 | −ζ2−ζ7+ζ8+ζ13 | ζ+ζ4 | ζ7+ζ13 | ζ11+ζ14 | ζ2+ζ8 | −ζ−ζ4 | −ζ7−ζ13 | −ζ+ζ4 | ζ−ζ4 | −ζ7+ζ13 | ζ7−ζ13 | −ζ11−ζ14 | −ζ2−ζ8 | −ζ11+ζ14 | ζ11−ζ14 | −ζ2+ζ8 | ζ2−ζ8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ40 | 15 | 15 | 15 | -1 | -1 | 0 | 0 | 0 | 0 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 3 | -1 | -1 | 0 | 0 | 0 | 0 |
| χ41 | 15 | 15 | 15 | -1 | -1 | 0 | 0 | 0 | 0 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -3 | -3 | 1 | 1 | 0 | 0 | 0 | 0 |
| χ42 | 15 | 15 | -15 | -1 | -1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | -3 | -1 | 1 | 0 | 0 | 0 | 0 |
| χ43 | 15 | 15 | -15 | -1 | -1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -3 | 3 | 1 | -1 | 0 | 0 | 0 | 0 |
| χ44 | 30 | -30 | 0 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.