Order 272.
| 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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 17 | 17 | 34 | 34 | 34 | 34 | 34 |
| order | 1 | 2 | 4 | 17 | 17 | 17 | 17 | 34 | 34 | 34 | 34 | 68 | 68 | 68 | 68 | 68 | 68 | 68 | 68 | 4 | 4 | 2 | 8 | 8 | 8 | 8 |
| 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 |
| 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 |
| χ3 | 1 | 1 | 1 | 1 | 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 | 1 | -1 | -1 | -1 | ||||
| χ5 | 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 |
| χ6 | 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 |
| χ7 | 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 | ||||
| χ9 | 2 | -2 | 0 | 2 | 2 | 2 | 2 | -2 | -2 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
| χ10 | 2 | -2 | 0 | 2 | 2 | 2 | 2 | -2 | -2 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
| χ11 | 4 | 4 | 4 | −ζ18−ζ30−ζ38−ζ50 | −ζ6−ζ10−ζ58−ζ62 | −ζ14−ζ22−ζ46−ζ54 | −ζ2−ζ26−ζ42−ζ66 | −ζ18−ζ30−ζ38−ζ50 | −ζ6−ζ10−ζ58−ζ62 | −ζ14−ζ22−ζ46−ζ54 | −ζ2−ζ26−ζ42−ζ66 | −ζ18−ζ30−ζ38−ζ50 | −ζ18−ζ30−ζ38−ζ50 | −ζ6−ζ10−ζ58−ζ62 | −ζ6−ζ10−ζ58−ζ62 | −ζ14−ζ22−ζ46−ζ54 | −ζ14−ζ22−ζ46−ζ54 | −ζ2−ζ26−ζ42−ζ66 | −ζ2−ζ26−ζ42−ζ66 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ12 | 4 | 4 | 4 | −ζ6−ζ10−ζ58−ζ62 | −ζ2−ζ26−ζ42−ζ66 | −ζ18−ζ30−ζ38−ζ50 | −ζ14−ζ22−ζ46−ζ54 | −ζ6−ζ10−ζ58−ζ62 | −ζ2−ζ26−ζ42−ζ66 | −ζ18−ζ30−ζ38−ζ50 | −ζ14−ζ22−ζ46−ζ54 | −ζ6−ζ10−ζ58−ζ62 | −ζ6−ζ10−ζ58−ζ62 | −ζ2−ζ26−ζ42−ζ66 | −ζ2−ζ26−ζ42−ζ66 | −ζ18−ζ30−ζ38−ζ50 | −ζ18−ζ30−ζ38−ζ50 | −ζ14−ζ22−ζ46−ζ54 | −ζ14−ζ22−ζ46−ζ54 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ13 | 4 | 4 | 4 | −ζ14−ζ22−ζ46−ζ54 | −ζ18−ζ30−ζ38−ζ50 | −ζ2−ζ26−ζ42−ζ66 | −ζ6−ζ10−ζ58−ζ62 | −ζ14−ζ22−ζ46−ζ54 | −ζ18−ζ30−ζ38−ζ50 | −ζ2−ζ26−ζ42−ζ66 | −ζ6−ζ10−ζ58−ζ62 | −ζ14−ζ22−ζ46−ζ54 | −ζ14−ζ22−ζ46−ζ54 | −ζ18−ζ30−ζ38−ζ50 | −ζ18−ζ30−ζ38−ζ50 | −ζ2−ζ26−ζ42−ζ66 | −ζ2−ζ26−ζ42−ζ66 | −ζ6−ζ10−ζ58−ζ62 | −ζ6−ζ10−ζ58−ζ62 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ14 | 4 | 4 | 4 | −ζ2−ζ26−ζ42−ζ66 | −ζ14−ζ22−ζ46−ζ54 | −ζ6−ζ10−ζ58−ζ62 | −ζ18−ζ30−ζ38−ζ50 | −ζ2−ζ26−ζ42−ζ66 | −ζ14−ζ22−ζ46−ζ54 | −ζ6−ζ10−ζ58−ζ62 | −ζ18−ζ30−ζ38−ζ50 | −ζ2−ζ26−ζ42−ζ66 | −ζ2−ζ26−ζ42−ζ66 | −ζ14−ζ22−ζ46−ζ54 | −ζ14−ζ22−ζ46−ζ54 | −ζ6−ζ10−ζ58−ζ62 | −ζ6−ζ10−ζ58−ζ62 | −ζ18−ζ30−ζ38−ζ50 | −ζ18−ζ30−ζ38−ζ50 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ15 | 4 | 4 | -4 | −ζ18−ζ30−ζ38−ζ50 | −ζ6−ζ10−ζ58−ζ62 | −ζ14−ζ22−ζ46−ζ54 | −ζ2−ζ26−ζ42−ζ66 | −ζ18−ζ30−ζ38−ζ50 | −ζ6−ζ10−ζ58−ζ62 | −ζ14−ζ22−ζ46−ζ54 | −ζ2−ζ26−ζ42−ζ66 | ζ18+ζ30+ζ38+ζ50 | ζ18+ζ30+ζ38+ζ50 | ζ6+ζ10+ζ58+ζ62 | ζ6+ζ10+ζ58+ζ62 | ζ14+ζ22+ζ46+ζ54 | ζ14+ζ22+ζ46+ζ54 | ζ2+ζ26+ζ42+ζ66 | ζ2+ζ26+ζ42+ζ66 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ16 | 4 | 4 | -4 | −ζ6−ζ10−ζ58−ζ62 | −ζ2−ζ26−ζ42−ζ66 | −ζ18−ζ30−ζ38−ζ50 | −ζ14−ζ22−ζ46−ζ54 | −ζ6−ζ10−ζ58−ζ62 | −ζ2−ζ26−ζ42−ζ66 | −ζ18−ζ30−ζ38−ζ50 | −ζ14−ζ22−ζ46−ζ54 | ζ6+ζ10+ζ58+ζ62 | ζ6+ζ10+ζ58+ζ62 | ζ2+ζ26+ζ42+ζ66 | ζ2+ζ26+ζ42+ζ66 | ζ18+ζ30+ζ38+ζ50 | ζ18+ζ30+ζ38+ζ50 | ζ14+ζ22+ζ46+ζ54 | ζ14+ζ22+ζ46+ζ54 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ17 | 4 | 4 | -4 | −ζ14−ζ22−ζ46−ζ54 | −ζ18−ζ30−ζ38−ζ50 | −ζ2−ζ26−ζ42−ζ66 | −ζ6−ζ10−ζ58−ζ62 | −ζ14−ζ22−ζ46−ζ54 | −ζ18−ζ30−ζ38−ζ50 | −ζ2−ζ26−ζ42−ζ66 | −ζ6−ζ10−ζ58−ζ62 | ζ14+ζ22+ζ46+ζ54 | ζ14+ζ22+ζ46+ζ54 | ζ18+ζ30+ζ38+ζ50 | ζ18+ζ30+ζ38+ζ50 | ζ2+ζ26+ζ42+ζ66 | ζ2+ζ26+ζ42+ζ66 | ζ6+ζ10+ζ58+ζ62 | ζ6+ζ10+ζ58+ζ62 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ18 | 4 | 4 | -4 | −ζ2−ζ26−ζ42−ζ66 | −ζ14−ζ22−ζ46−ζ54 | −ζ6−ζ10−ζ58−ζ62 | −ζ18−ζ30−ζ38−ζ50 | −ζ2−ζ26−ζ42−ζ66 | −ζ14−ζ22−ζ46−ζ54 | −ζ6−ζ10−ζ58−ζ62 | −ζ18−ζ30−ζ38−ζ50 | ζ2+ζ26+ζ42+ζ66 | ζ2+ζ26+ζ42+ζ66 | ζ14+ζ22+ζ46+ζ54 | ζ14+ζ22+ζ46+ζ54 | ζ6+ζ10+ζ58+ζ62 | ζ6+ζ10+ζ58+ζ62 | ζ18+ζ30+ζ38+ζ50 | ζ18+ζ30+ζ38+ζ50 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ19 | 4 | -4 | 0 | −ζ18−ζ30−ζ38−ζ50 | −ζ6−ζ10−ζ58−ζ62 | −ζ14−ζ22−ζ46−ζ54 | −ζ2−ζ26−ζ42−ζ66 | ζ18+ζ30+ζ38+ζ50 | ζ6+ζ10+ζ58+ζ62 | ζ14+ζ22+ζ46+ζ54 | ζ2+ζ26+ζ42+ζ66 | −ζ35+ζ47+ζ55−ζ67 | ζ35−ζ47−ζ55+ζ67 | ζ7−ζ11−ζ23+ζ27 | −ζ7+ζ11+ζ23−ζ27 | ζ3+ζ31−ζ39−ζ63 | −ζ3−ζ31+ζ39+ζ63 | ζ15+ζ19−ζ43−ζ59 | −ζ15−ζ19+ζ43+ζ59 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ20 | 4 | -4 | 0 | −ζ18−ζ30−ζ38−ζ50 | −ζ6−ζ10−ζ58−ζ62 | −ζ14−ζ22−ζ46−ζ54 | −ζ2−ζ26−ζ42−ζ66 | ζ18+ζ30+ζ38+ζ50 | ζ6+ζ10+ζ58+ζ62 | ζ14+ζ22+ζ46+ζ54 | ζ2+ζ26+ζ42+ζ66 | ζ35−ζ47−ζ55+ζ67 | −ζ35+ζ47+ζ55−ζ67 | −ζ7+ζ11+ζ23−ζ27 | ζ7−ζ11−ζ23+ζ27 | −ζ3−ζ31+ζ39+ζ63 | ζ3+ζ31−ζ39−ζ63 | −ζ15−ζ19+ζ43+ζ59 | ζ15+ζ19−ζ43−ζ59 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ21 | 4 | -4 | 0 | −ζ6−ζ10−ζ58−ζ62 | −ζ2−ζ26−ζ42−ζ66 | −ζ18−ζ30−ζ38−ζ50 | −ζ14−ζ22−ζ46−ζ54 | ζ6+ζ10+ζ58+ζ62 | ζ2+ζ26+ζ42+ζ66 | ζ18+ζ30+ζ38+ζ50 | ζ14+ζ22+ζ46+ζ54 | ζ7−ζ11−ζ23+ζ27 | −ζ7+ζ11+ζ23−ζ27 | −ζ15−ζ19+ζ43+ζ59 | ζ15+ζ19−ζ43−ζ59 | ζ35−ζ47−ζ55+ζ67 | −ζ35+ζ47+ζ55−ζ67 | −ζ3−ζ31+ζ39+ζ63 | ζ3+ζ31−ζ39−ζ63 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ22 | 4 | -4 | 0 | −ζ6−ζ10−ζ58−ζ62 | −ζ2−ζ26−ζ42−ζ66 | −ζ18−ζ30−ζ38−ζ50 | −ζ14−ζ22−ζ46−ζ54 | ζ6+ζ10+ζ58+ζ62 | ζ2+ζ26+ζ42+ζ66 | ζ18+ζ30+ζ38+ζ50 | ζ14+ζ22+ζ46+ζ54 | −ζ7+ζ11+ζ23−ζ27 | ζ7−ζ11−ζ23+ζ27 | ζ15+ζ19−ζ43−ζ59 | −ζ15−ζ19+ζ43+ζ59 | −ζ35+ζ47+ζ55−ζ67 | ζ35−ζ47−ζ55+ζ67 | ζ3+ζ31−ζ39−ζ63 | −ζ3−ζ31+ζ39+ζ63 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ23 | 4 | -4 | 0 | −ζ14−ζ22−ζ46−ζ54 | −ζ18−ζ30−ζ38−ζ50 | −ζ2−ζ26−ζ42−ζ66 | −ζ6−ζ10−ζ58−ζ62 | ζ14+ζ22+ζ46+ζ54 | ζ18+ζ30+ζ38+ζ50 | ζ2+ζ26+ζ42+ζ66 | ζ6+ζ10+ζ58+ζ62 | ζ3+ζ31−ζ39−ζ63 | −ζ3−ζ31+ζ39+ζ63 | ζ35−ζ47−ζ55+ζ67 | −ζ35+ζ47+ζ55−ζ67 | ζ15+ζ19−ζ43−ζ59 | −ζ15−ζ19+ζ43+ζ59 | ζ7−ζ11−ζ23+ζ27 | −ζ7+ζ11+ζ23−ζ27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ24 | 4 | -4 | 0 | −ζ14−ζ22−ζ46−ζ54 | −ζ18−ζ30−ζ38−ζ50 | −ζ2−ζ26−ζ42−ζ66 | −ζ6−ζ10−ζ58−ζ62 | ζ14+ζ22+ζ46+ζ54 | ζ18+ζ30+ζ38+ζ50 | ζ2+ζ26+ζ42+ζ66 | ζ6+ζ10+ζ58+ζ62 | −ζ3−ζ31+ζ39+ζ63 | ζ3+ζ31−ζ39−ζ63 | −ζ35+ζ47+ζ55−ζ67 | ζ35−ζ47−ζ55+ζ67 | −ζ15−ζ19+ζ43+ζ59 | ζ15+ζ19−ζ43−ζ59 | −ζ7+ζ11+ζ23−ζ27 | ζ7−ζ11−ζ23+ζ27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ25 | 4 | -4 | 0 | −ζ2−ζ26−ζ42−ζ66 | −ζ14−ζ22−ζ46−ζ54 | −ζ6−ζ10−ζ58−ζ62 | −ζ18−ζ30−ζ38−ζ50 | ζ2+ζ26+ζ42+ζ66 | ζ14+ζ22+ζ46+ζ54 | ζ6+ζ10+ζ58+ζ62 | ζ18+ζ30+ζ38+ζ50 | ζ15+ζ19−ζ43−ζ59 | −ζ15−ζ19+ζ43+ζ59 | −ζ3−ζ31+ζ39+ζ63 | ζ3+ζ31−ζ39−ζ63 | ζ7−ζ11−ζ23+ζ27 | −ζ7+ζ11+ζ23−ζ27 | ζ35−ζ47−ζ55+ζ67 | −ζ35+ζ47+ζ55−ζ67 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ26 | 4 | -4 | 0 | −ζ2−ζ26−ζ42−ζ66 | −ζ14−ζ22−ζ46−ζ54 | −ζ6−ζ10−ζ58−ζ62 | −ζ18−ζ30−ζ38−ζ50 | ζ2+ζ26+ζ42+ζ66 | ζ14+ζ22+ζ46+ζ54 | ζ6+ζ10+ζ58+ζ62 | ζ18+ζ30+ζ38+ζ50 | −ζ15−ζ19+ζ43+ζ59 | ζ15+ζ19−ζ43−ζ59 | ζ3+ζ31−ζ39−ζ63 | −ζ3−ζ31+ζ39+ζ63 | −ζ7+ζ11+ζ23−ζ27 | ζ7−ζ11−ζ23+ζ27 | −ζ35+ζ47+ζ55−ζ67 | ζ35−ζ47−ζ55+ζ67 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.