Order 392.
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 8 | 8 | 8 | 8 | 8 | 8 | 49 | 49 | 49 | 49 | 49 | 49 | 49 |
| order | 1 | 7 | 7 | 7 | 7 | 7 | 7 | 2 | 4 | 4 | 8 | 8 | 8 | 8 |
| χ1 | 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 |
| χ3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | ||||
| χ4 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | ||||
| χ5 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | −ζ15−ζ23−ζ31−ζ39−ζ47−ζ55 | ζ15+ζ23+ζ31+ζ39+ζ47+ζ55 | −ζ5−ζ13−ζ29−ζ37−ζ45−ζ53 | ζ5+ζ13+ζ29+ζ37+ζ45+ζ53 | ||
| χ6 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | ζ15+ζ23+ζ31+ζ39+ζ47+ζ55 | −ζ15−ζ23−ζ31−ζ39−ζ47−ζ55 | ζ5+ζ13+ζ29+ζ37+ζ45+ζ53 | −ζ5−ζ13−ζ29−ζ37−ζ45−ζ53 | ||
| χ7 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | −ζ5−ζ13−ζ29−ζ37−ζ45−ζ53 | ζ5+ζ13+ζ29+ζ37+ζ45+ζ53 | −ζ15−ζ23−ζ31−ζ39−ζ47−ζ55 | ζ15+ζ23+ζ31+ζ39+ζ47+ζ55 | ||
| χ8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | ζ5+ζ13+ζ29+ζ37+ζ45+ζ53 | −ζ5−ζ13−ζ29−ζ37−ζ45−ζ53 | ζ15+ζ23+ζ31+ζ39+ζ47+ζ55 | −ζ15−ζ23−ζ31−ζ39−ζ47−ζ55 | ||
| χ9 | 8 | −2ζ4−2ζ12−2ζ44−2ζ52 | −2ζ4−2ζ20−2ζ36−2ζ52 | −2ζ12−2ζ20−2ζ36−2ζ44 | ζ12+2ζ20+2ζ36+ζ44 | ζ4+2ζ12+2ζ44+ζ52 | 2ζ4+ζ20+ζ36+2ζ52 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ10 | 8 | −2ζ4−2ζ20−2ζ36−2ζ52 | −2ζ12−2ζ20−2ζ36−2ζ44 | −2ζ4−2ζ12−2ζ44−2ζ52 | ζ4+2ζ12+2ζ44+ζ52 | 2ζ4+ζ20+ζ36+2ζ52 | ζ12+2ζ20+2ζ36+ζ44 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ11 | 8 | −2ζ12−2ζ20−2ζ36−2ζ44 | −2ζ4−2ζ12−2ζ44−2ζ52 | −2ζ4−2ζ20−2ζ36−2ζ52 | 2ζ4+ζ20+ζ36+2ζ52 | ζ12+2ζ20+2ζ36+ζ44 | ζ4+2ζ12+2ζ44+ζ52 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ12 | 8 | ζ12+2ζ20+2ζ36+ζ44 | ζ4+2ζ12+2ζ44+ζ52 | 2ζ4+ζ20+ζ36+2ζ52 | −2ζ12−2ζ20−2ζ36−2ζ44 | −2ζ4−2ζ12−2ζ44−2ζ52 | −2ζ4−2ζ20−2ζ36−2ζ52 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ13 | 8 | ζ4+2ζ12+2ζ44+ζ52 | 2ζ4+ζ20+ζ36+2ζ52 | ζ12+2ζ20+2ζ36+ζ44 | −2ζ4−2ζ12−2ζ44−2ζ52 | −2ζ4−2ζ20−2ζ36−2ζ52 | −2ζ12−2ζ20−2ζ36−2ζ44 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ14 | 8 | 2ζ4+ζ20+ζ36+2ζ52 | ζ12+2ζ20+2ζ36+ζ44 | ζ4+2ζ12+2ζ44+ζ52 | −2ζ4−2ζ20−2ζ36−2ζ52 | −2ζ12−2ζ20−2ζ36−2ζ44 | −2ζ4−2ζ12−2ζ44−2ζ52 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 56 (ζ56 = 1); i = ζ14.