Order 336.
| 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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 1 | 1 | 2 | 2 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
| order | 1 | 2 | 2 | 2 | 4 | 4 | 7 | 14 | 14 | 14 | 28 | 28 | 28 | 28 | 3 | 3 | 6 | 6 | 6 | 6 | 6 | 6 | 4 | 4 | 4 | 4 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 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 |
| 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 |
| 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 |
| 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 |
| 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 | 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 | ||||||||||||
| χ14 | 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 | ||||||||||||
| χ15 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | 1 | 1 | -1 | -1 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ||||||||||||||||
| χ16 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | 1 | 1 | -1 | -1 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | ||||||||||||||||
| χ17 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | 1 | 1 | -1 | -1 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ||||||||||||||||
| χ18 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | 1 | 1 | -1 | -1 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | ||||||||||||||||
| χ19 | 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 | ||||||||||||
| χ20 | 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 | ||||||||||||
| χ21 | 1 | -1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | 1 | -1 | -1 | 1 | 1 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | ||||||||||||||||
| χ22 | 1 | -1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | 1 | -1 | -1 | 1 | 1 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ||||||||||||||||
| χ23 | 1 | -1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | 1 | -1 | -1 | 1 | 1 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | ||||||||||||||||
| χ24 | 1 | -1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | 1 | -1 | -1 | 1 | 1 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | ζ19+ζ31+ζ43+ζ55+ζ67+ζ79 | −ζ19−ζ31−ζ43−ζ55−ζ67−ζ79 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | ζ11+ζ23+ζ47+ζ59+ζ71+ζ83 | −ζ11−ζ23−ζ47−ζ59−ζ71−ζ83 | ||||||||||||||||
| χ25 | 2 | 2 | -2 | -2 | 0 | 0 | 2 | 2 | -2 | -2 | 0 | 0 | 0 | 0 | 2 | 2 | 2 | 2 | -2 | -2 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ26 | 2 | 2 | -2 | -2 | 0 | 0 | 2 | 2 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ27 | 2 | 2 | -2 | -2 | 0 | 0 | 2 | 2 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ28 | 2 | -2 | -2 | 2 | 0 | 0 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 2 | 2 | -2 | -2 | -2 | -2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ29 | 2 | -2 | -2 | 2 | 0 | 0 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ30 | 2 | -2 | -2 | 2 | 0 | 0 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ31 | 6 | 6 | 6 | 6 | 6 | 6 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -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 |
| χ32 | 6 | 6 | 6 | 6 | -6 | -6 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 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 |
| χ33 | 6 | 6 | -6 | -6 | 0 | 0 | -1 | -1 | 1 | 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 | ||||
| χ34 | 6 | 6 | -6 | -6 | 0 | 0 | -1 | -1 | 1 | 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 | ||||
| χ35 | 6 | -6 | 6 | -6 | 6 | -6 | -1 | 1 | 1 | -1 | -1 | -1 | 1 | 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 |
| χ36 | 6 | -6 | 6 | -6 | -6 | 6 | -1 | 1 | 1 | -1 | 1 | 1 | -1 | -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 |
| χ37 | 6 | -6 | -6 | 6 | 0 | 0 | -1 | 1 | -1 | 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 | ||||
| χ38 | 6 | -6 | -6 | 6 | 0 | 0 | -1 | 1 | -1 | 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 |
Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.