Order 48.
| 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 | C45 | C46 | C47 | C48 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 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 | 1 | 1 | 1 | 1 |
| order | 1 | 16 | 8 | 16 | 4 | 16 | 8 | 16 | 2 | 16 | 8 | 16 | 4 | 16 | 8 | 16 | 3 | 48 | 24 | 48 | 12 | 48 | 24 | 48 | 6 | 48 | 24 | 48 | 12 | 48 | 24 | 48 | 3 | 48 | 24 | 48 | 12 | 48 | 24 | 48 | 6 | 48 | 24 | 48 | 12 | 48 | 24 | 48 |
| 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 | 1 | 1 | 1 | 1 |
| χ2 | 1 | ζ11+ζ43 | ζ14+ζ46 | −ζ25−ζ41 | −ζ31−ζ47 | ζ10+ζ26 | ζ13+ζ29 | -1 | −ζ11−ζ43 | −ζ14−ζ46 | ζ25+ζ41 | ζ31+ζ47 | −ζ10−ζ26 | −ζ13−ζ29 | 1 | ζ11+ζ43 | ζ14+ζ46 | −ζ25−ζ41 | −ζ31−ζ47 | ζ10+ζ26 | ζ13+ζ29 | -1 | −ζ11−ζ43 | −ζ14−ζ46 | ζ25+ζ41 | ζ31+ζ47 | −ζ10−ζ26 | −ζ13−ζ29 | 1 | ζ11+ζ43 | ζ14+ζ46 | −ζ25−ζ41 | −ζ31−ζ47 | ζ10+ζ26 | ζ13+ζ29 | -1 | −ζ11−ζ43 | −ζ14−ζ46 | ζ25+ζ41 | ζ31+ζ47 | −ζ10−ζ26 | −ζ13−ζ29 | ||||||
| χ3 | 1 | ζ14+ζ46 | ζ10+ζ26 | -1 | −ζ14−ζ46 | −ζ10−ζ26 | 1 | ζ14+ζ46 | ζ10+ζ26 | -1 | −ζ14−ζ46 | −ζ10−ζ26 | 1 | ζ14+ζ46 | ζ10+ζ26 | -1 | −ζ14−ζ46 | −ζ10−ζ26 | 1 | ζ14+ζ46 | ζ10+ζ26 | -1 | −ζ14−ζ46 | −ζ10−ζ26 | 1 | ζ14+ζ46 | ζ10+ζ26 | -1 | −ζ14−ζ46 | −ζ10−ζ26 | 1 | ζ14+ζ46 | ζ10+ζ26 | -1 | −ζ14−ζ46 | −ζ10−ζ26 | ||||||||||||
| χ4 | 1 | −ζ25−ζ41 | ζ10+ζ26 | −ζ11−ζ43 | −ζ13−ζ29 | ζ14+ζ46 | −ζ31−ζ47 | -1 | ζ25+ζ41 | −ζ10−ζ26 | ζ11+ζ43 | ζ13+ζ29 | −ζ14−ζ46 | ζ31+ζ47 | 1 | −ζ25−ζ41 | ζ10+ζ26 | −ζ11−ζ43 | −ζ13−ζ29 | ζ14+ζ46 | −ζ31−ζ47 | -1 | ζ25+ζ41 | −ζ10−ζ26 | ζ11+ζ43 | ζ13+ζ29 | −ζ14−ζ46 | ζ31+ζ47 | 1 | −ζ25−ζ41 | ζ10+ζ26 | −ζ11−ζ43 | −ζ13−ζ29 | ζ14+ζ46 | −ζ31−ζ47 | -1 | ζ25+ζ41 | −ζ10−ζ26 | ζ11+ζ43 | ζ13+ζ29 | −ζ14−ζ46 | ζ31+ζ47 | ||||||
| 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 | ||||||||||||||||||||||||
| χ6 | 1 | −ζ31−ζ47 | −ζ14−ζ46 | −ζ13−ζ29 | −ζ11−ζ43 | −ζ10−ζ26 | −ζ25−ζ41 | -1 | ζ31+ζ47 | ζ14+ζ46 | ζ13+ζ29 | ζ11+ζ43 | ζ10+ζ26 | ζ25+ζ41 | 1 | −ζ31−ζ47 | −ζ14−ζ46 | −ζ13−ζ29 | −ζ11−ζ43 | −ζ10−ζ26 | −ζ25−ζ41 | -1 | ζ31+ζ47 | ζ14+ζ46 | ζ13+ζ29 | ζ11+ζ43 | ζ10+ζ26 | ζ25+ζ41 | 1 | −ζ31−ζ47 | −ζ14−ζ46 | −ζ13−ζ29 | −ζ11−ζ43 | −ζ10−ζ26 | −ζ25−ζ41 | -1 | ζ31+ζ47 | ζ14+ζ46 | ζ13+ζ29 | ζ11+ζ43 | ζ10+ζ26 | ζ25+ζ41 | ||||||
| χ7 | 1 | ζ10+ζ26 | ζ14+ζ46 | -1 | −ζ10−ζ26 | −ζ14−ζ46 | 1 | ζ10+ζ26 | ζ14+ζ46 | -1 | −ζ10−ζ26 | −ζ14−ζ46 | 1 | ζ10+ζ26 | ζ14+ζ46 | -1 | −ζ10−ζ26 | −ζ14−ζ46 | 1 | ζ10+ζ26 | ζ14+ζ46 | -1 | −ζ10−ζ26 | −ζ14−ζ46 | 1 | ζ10+ζ26 | ζ14+ζ46 | -1 | −ζ10−ζ26 | −ζ14−ζ46 | 1 | ζ10+ζ26 | ζ14+ζ46 | -1 | −ζ10−ζ26 | −ζ14−ζ46 | ||||||||||||
| χ8 | 1 | ζ13+ζ29 | −ζ10−ζ26 | −ζ31−ζ47 | −ζ25−ζ41 | −ζ14−ζ46 | ζ11+ζ43 | -1 | −ζ13−ζ29 | ζ10+ζ26 | ζ31+ζ47 | ζ25+ζ41 | ζ14+ζ46 | −ζ11−ζ43 | 1 | ζ13+ζ29 | −ζ10−ζ26 | −ζ31−ζ47 | −ζ25−ζ41 | −ζ14−ζ46 | ζ11+ζ43 | -1 | −ζ13−ζ29 | ζ10+ζ26 | ζ31+ζ47 | ζ25+ζ41 | ζ14+ζ46 | −ζ11−ζ43 | 1 | ζ13+ζ29 | −ζ10−ζ26 | −ζ31−ζ47 | −ζ25−ζ41 | −ζ14−ζ46 | ζ11+ζ43 | -1 | −ζ13−ζ29 | ζ10+ζ26 | ζ31+ζ47 | ζ25+ζ41 | ζ14+ζ46 | −ζ11−ζ43 | ||||||
| χ9 | 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 | 1 | -1 | 1 | -1 |
| χ10 | 1 | −ζ11−ζ43 | ζ14+ζ46 | ζ25+ζ41 | ζ31+ζ47 | ζ10+ζ26 | −ζ13−ζ29 | -1 | ζ11+ζ43 | −ζ14−ζ46 | −ζ25−ζ41 | −ζ31−ζ47 | −ζ10−ζ26 | ζ13+ζ29 | 1 | −ζ11−ζ43 | ζ14+ζ46 | ζ25+ζ41 | ζ31+ζ47 | ζ10+ζ26 | −ζ13−ζ29 | -1 | ζ11+ζ43 | −ζ14−ζ46 | −ζ25−ζ41 | −ζ31−ζ47 | −ζ10−ζ26 | ζ13+ζ29 | 1 | −ζ11−ζ43 | ζ14+ζ46 | ζ25+ζ41 | ζ31+ζ47 | ζ10+ζ26 | −ζ13−ζ29 | -1 | ζ11+ζ43 | −ζ14−ζ46 | −ζ25−ζ41 | −ζ31−ζ47 | −ζ10−ζ26 | ζ13+ζ29 | ||||||
| χ11 | 1 | −ζ14−ζ46 | −ζ10−ζ26 | -1 | ζ14+ζ46 | ζ10+ζ26 | 1 | −ζ14−ζ46 | −ζ10−ζ26 | -1 | ζ14+ζ46 | ζ10+ζ26 | 1 | −ζ14−ζ46 | −ζ10−ζ26 | -1 | ζ14+ζ46 | ζ10+ζ26 | 1 | −ζ14−ζ46 | −ζ10−ζ26 | -1 | ζ14+ζ46 | ζ10+ζ26 | 1 | −ζ14−ζ46 | −ζ10−ζ26 | -1 | ζ14+ζ46 | ζ10+ζ26 | 1 | −ζ14−ζ46 | −ζ10−ζ26 | -1 | ζ14+ζ46 | ζ10+ζ26 | ||||||||||||
| χ12 | 1 | ζ25+ζ41 | ζ10+ζ26 | ζ11+ζ43 | ζ13+ζ29 | ζ14+ζ46 | ζ31+ζ47 | -1 | −ζ25−ζ41 | −ζ10−ζ26 | −ζ11−ζ43 | −ζ13−ζ29 | −ζ14−ζ46 | −ζ31−ζ47 | 1 | ζ25+ζ41 | ζ10+ζ26 | ζ11+ζ43 | ζ13+ζ29 | ζ14+ζ46 | ζ31+ζ47 | -1 | −ζ25−ζ41 | −ζ10−ζ26 | −ζ11−ζ43 | −ζ13−ζ29 | −ζ14−ζ46 | −ζ31−ζ47 | 1 | ζ25+ζ41 | ζ10+ζ26 | ζ11+ζ43 | ζ13+ζ29 | ζ14+ζ46 | ζ31+ζ47 | -1 | −ζ25−ζ41 | −ζ10−ζ26 | −ζ11−ζ43 | −ζ13−ζ29 | −ζ14−ζ46 | −ζ31−ζ47 | ||||||
| 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 | ||||||||||||||||||||||||
| χ14 | 1 | ζ31+ζ47 | −ζ14−ζ46 | ζ13+ζ29 | ζ11+ζ43 | −ζ10−ζ26 | ζ25+ζ41 | -1 | −ζ31−ζ47 | ζ14+ζ46 | −ζ13−ζ29 | −ζ11−ζ43 | ζ10+ζ26 | −ζ25−ζ41 | 1 | ζ31+ζ47 | −ζ14−ζ46 | ζ13+ζ29 | ζ11+ζ43 | −ζ10−ζ26 | ζ25+ζ41 | -1 | −ζ31−ζ47 | ζ14+ζ46 | −ζ13−ζ29 | −ζ11−ζ43 | ζ10+ζ26 | −ζ25−ζ41 | 1 | ζ31+ζ47 | −ζ14−ζ46 | ζ13+ζ29 | ζ11+ζ43 | −ζ10−ζ26 | ζ25+ζ41 | -1 | −ζ31−ζ47 | ζ14+ζ46 | −ζ13−ζ29 | −ζ11−ζ43 | ζ10+ζ26 | −ζ25−ζ41 | ||||||
| χ15 | 1 | −ζ10−ζ26 | −ζ14−ζ46 | -1 | ζ10+ζ26 | ζ14+ζ46 | 1 | −ζ10−ζ26 | −ζ14−ζ46 | -1 | ζ10+ζ26 | ζ14+ζ46 | 1 | −ζ10−ζ26 | −ζ14−ζ46 | -1 | ζ10+ζ26 | ζ14+ζ46 | 1 | −ζ10−ζ26 | −ζ14−ζ46 | -1 | ζ10+ζ26 | ζ14+ζ46 | 1 | −ζ10−ζ26 | −ζ14−ζ46 | -1 | ζ10+ζ26 | ζ14+ζ46 | 1 | −ζ10−ζ26 | −ζ14−ζ46 | -1 | ζ10+ζ26 | ζ14+ζ46 | ||||||||||||
| χ16 | 1 | −ζ13−ζ29 | −ζ10−ζ26 | ζ31+ζ47 | ζ25+ζ41 | −ζ14−ζ46 | −ζ11−ζ43 | -1 | ζ13+ζ29 | ζ10+ζ26 | −ζ31−ζ47 | −ζ25−ζ41 | ζ14+ζ46 | ζ11+ζ43 | 1 | −ζ13−ζ29 | −ζ10−ζ26 | ζ31+ζ47 | ζ25+ζ41 | −ζ14−ζ46 | −ζ11−ζ43 | -1 | ζ13+ζ29 | ζ10+ζ26 | −ζ31−ζ47 | −ζ25−ζ41 | ζ14+ζ46 | ζ11+ζ43 | 1 | −ζ13−ζ29 | −ζ10−ζ26 | ζ31+ζ47 | ζ25+ζ41 | −ζ14−ζ46 | −ζ11−ζ43 | -1 | ζ13+ζ29 | ζ10+ζ26 | −ζ31−ζ47 | −ζ25−ζ41 | ζ14+ζ46 | ζ11+ζ43 | ||||||
| χ17 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||||||||||||||||||||||||||||||||
| χ18 | 1 | ζ11+ζ43 | ζ14+ζ46 | −ζ25−ζ41 | −ζ31−ζ47 | ζ10+ζ26 | ζ13+ζ29 | -1 | −ζ11−ζ43 | −ζ14−ζ46 | ζ25+ζ41 | ζ31+ζ47 | −ζ10−ζ26 | −ζ13−ζ29 | −ζ43 | −ζ46 | ζ25 | ζ28 | ζ31 | −ζ10 | −ζ13 | ζ43 | ζ46 | −ζ25 | −ζ28 | −ζ31 | ζ10 | ζ13 | −ζ11 | −ζ14 | ζ41 | ζ44 | ζ47 | −ζ26 | −ζ29 | ζ11 | ζ14 | −ζ41 | −ζ44 | −ζ47 | ζ26 | ζ29 | ||||||
| χ19 | 1 | ζ14+ζ46 | ζ10+ζ26 | -1 | −ζ14−ζ46 | −ζ10−ζ26 | 1 | ζ14+ζ46 | ζ10+ζ26 | -1 | −ζ14−ζ46 | −ζ10−ζ26 | −ζ46 | ζ28 | −ζ10 | ζ46 | −ζ28 | ζ10 | −ζ46 | ζ28 | −ζ10 | ζ46 | −ζ28 | ζ10 | −ζ14 | ζ44 | −ζ26 | ζ14 | −ζ44 | ζ26 | −ζ14 | ζ44 | −ζ26 | ζ14 | −ζ44 | ζ26 | ||||||||||||
| χ20 | 1 | −ζ25−ζ41 | ζ10+ζ26 | −ζ11−ζ43 | −ζ13−ζ29 | ζ14+ζ46 | −ζ31−ζ47 | -1 | ζ25+ζ41 | −ζ10−ζ26 | ζ11+ζ43 | ζ13+ζ29 | −ζ14−ζ46 | ζ31+ζ47 | ζ25 | −ζ10 | ζ43 | −ζ28 | ζ13 | −ζ46 | ζ31 | −ζ25 | ζ10 | −ζ43 | ζ28 | −ζ13 | ζ46 | −ζ31 | ζ41 | −ζ26 | ζ11 | −ζ44 | ζ29 | −ζ14 | ζ47 | −ζ41 | ζ26 | −ζ11 | ζ44 | −ζ29 | ζ14 | −ζ47 | ||||||
| χ21 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | ζ28 | −ζ28 | ζ28 | −ζ28 | ζ28 | −ζ28 | ζ28 | −ζ28 | ζ44 | −ζ44 | ζ44 | −ζ44 | ζ44 | −ζ44 | ζ44 | −ζ44 | ||||||||||||||||||||||||
| χ22 | 1 | −ζ31−ζ47 | −ζ14−ζ46 | −ζ13−ζ29 | −ζ11−ζ43 | −ζ10−ζ26 | −ζ25−ζ41 | -1 | ζ31+ζ47 | ζ14+ζ46 | ζ13+ζ29 | ζ11+ζ43 | ζ10+ζ26 | ζ25+ζ41 | ζ31 | ζ46 | ζ13 | ζ28 | ζ43 | ζ10 | ζ25 | −ζ31 | −ζ46 | −ζ13 | −ζ28 | −ζ43 | −ζ10 | −ζ25 | ζ47 | ζ14 | ζ29 | ζ44 | ζ11 | ζ26 | ζ41 | −ζ47 | −ζ14 | −ζ29 | −ζ44 | −ζ11 | −ζ26 | −ζ41 | ||||||
| χ23 | 1 | ζ10+ζ26 | ζ14+ζ46 | -1 | −ζ10−ζ26 | −ζ14−ζ46 | 1 | ζ10+ζ26 | ζ14+ζ46 | -1 | −ζ10−ζ26 | −ζ14−ζ46 | −ζ10 | −ζ28 | −ζ46 | ζ10 | ζ28 | ζ46 | −ζ10 | −ζ28 | −ζ46 | ζ10 | ζ28 | ζ46 | −ζ26 | −ζ44 | −ζ14 | ζ26 | ζ44 | ζ14 | −ζ26 | −ζ44 | −ζ14 | ζ26 | ζ44 | ζ14 | ||||||||||||
| χ24 | 1 | ζ13+ζ29 | −ζ10−ζ26 | −ζ31−ζ47 | −ζ25−ζ41 | −ζ14−ζ46 | ζ11+ζ43 | -1 | −ζ13−ζ29 | ζ10+ζ26 | ζ31+ζ47 | ζ25+ζ41 | ζ14+ζ46 | −ζ11−ζ43 | −ζ13 | ζ10 | ζ31 | −ζ28 | ζ25 | ζ46 | −ζ43 | ζ13 | −ζ10 | −ζ31 | ζ28 | −ζ25 | −ζ46 | ζ43 | −ζ29 | ζ26 | ζ47 | −ζ44 | ζ41 | ζ14 | −ζ11 | ζ29 | −ζ26 | −ζ47 | ζ44 | −ζ41 | −ζ14 | ζ11 | ||||||
| χ25 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | ||||||||||||||||||||||||||||||||
| χ26 | 1 | −ζ11−ζ43 | ζ14+ζ46 | ζ25+ζ41 | ζ31+ζ47 | ζ10+ζ26 | −ζ13−ζ29 | -1 | ζ11+ζ43 | −ζ14−ζ46 | −ζ25−ζ41 | −ζ31−ζ47 | −ζ10−ζ26 | ζ13+ζ29 | ζ43 | −ζ46 | −ζ25 | ζ28 | −ζ31 | −ζ10 | ζ13 | −ζ43 | ζ46 | ζ25 | −ζ28 | ζ31 | ζ10 | −ζ13 | ζ11 | −ζ14 | −ζ41 | ζ44 | −ζ47 | −ζ26 | ζ29 | −ζ11 | ζ14 | ζ41 | −ζ44 | ζ47 | ζ26 | −ζ29 | ||||||
| χ27 | 1 | −ζ14−ζ46 | −ζ10−ζ26 | -1 | ζ14+ζ46 | ζ10+ζ26 | 1 | −ζ14−ζ46 | −ζ10−ζ26 | -1 | ζ14+ζ46 | ζ10+ζ26 | ζ46 | ζ28 | ζ10 | −ζ46 | −ζ28 | −ζ10 | ζ46 | ζ28 | ζ10 | −ζ46 | −ζ28 | −ζ10 | ζ14 | ζ44 | ζ26 | −ζ14 | −ζ44 | −ζ26 | ζ14 | ζ44 | ζ26 | −ζ14 | −ζ44 | −ζ26 | ||||||||||||
| χ28 | 1 | ζ25+ζ41 | ζ10+ζ26 | ζ11+ζ43 | ζ13+ζ29 | ζ14+ζ46 | ζ31+ζ47 | -1 | −ζ25−ζ41 | −ζ10−ζ26 | −ζ11−ζ43 | −ζ13−ζ29 | −ζ14−ζ46 | −ζ31−ζ47 | −ζ25 | −ζ10 | −ζ43 | −ζ28 | −ζ13 | −ζ46 | −ζ31 | ζ25 | ζ10 | ζ43 | ζ28 | ζ13 | ζ46 | ζ31 | −ζ41 | −ζ26 | −ζ11 | −ζ44 | −ζ29 | −ζ14 | −ζ47 | ζ41 | ζ26 | ζ11 | ζ44 | ζ29 | ζ14 | ζ47 | ||||||
| χ29 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | −ζ28 | ζ28 | −ζ28 | ζ28 | −ζ28 | ζ28 | −ζ28 | ζ28 | −ζ44 | ζ44 | −ζ44 | ζ44 | −ζ44 | ζ44 | −ζ44 | ζ44 | ||||||||||||||||||||||||
| χ30 | 1 | ζ31+ζ47 | −ζ14−ζ46 | ζ13+ζ29 | ζ11+ζ43 | −ζ10−ζ26 | ζ25+ζ41 | -1 | −ζ31−ζ47 | ζ14+ζ46 | −ζ13−ζ29 | −ζ11−ζ43 | ζ10+ζ26 | −ζ25−ζ41 | −ζ31 | ζ46 | −ζ13 | ζ28 | −ζ43 | ζ10 | −ζ25 | ζ31 | −ζ46 | ζ13 | −ζ28 | ζ43 | −ζ10 | ζ25 | −ζ47 | ζ14 | −ζ29 | ζ44 | −ζ11 | ζ26 | −ζ41 | ζ47 | −ζ14 | ζ29 | −ζ44 | ζ11 | −ζ26 | ζ41 | ||||||
| χ31 | 1 | −ζ10−ζ26 | −ζ14−ζ46 | -1 | ζ10+ζ26 | ζ14+ζ46 | 1 | −ζ10−ζ26 | −ζ14−ζ46 | -1 | ζ10+ζ26 | ζ14+ζ46 | ζ10 | −ζ28 | ζ46 | −ζ10 | ζ28 | −ζ46 | ζ10 | −ζ28 | ζ46 | −ζ10 | ζ28 | −ζ46 | ζ26 | −ζ44 | ζ14 | −ζ26 | ζ44 | −ζ14 | ζ26 | −ζ44 | ζ14 | −ζ26 | ζ44 | −ζ14 | ||||||||||||
| χ32 | 1 | −ζ13−ζ29 | −ζ10−ζ26 | ζ31+ζ47 | ζ25+ζ41 | −ζ14−ζ46 | −ζ11−ζ43 | -1 | ζ13+ζ29 | ζ10+ζ26 | −ζ31−ζ47 | −ζ25−ζ41 | ζ14+ζ46 | ζ11+ζ43 | ζ13 | ζ10 | −ζ31 | −ζ28 | −ζ25 | ζ46 | ζ43 | −ζ13 | −ζ10 | ζ31 | ζ28 | ζ25 | −ζ46 | −ζ43 | ζ29 | ζ26 | −ζ47 | −ζ44 | −ζ41 | ζ14 | ζ11 | −ζ29 | −ζ26 | ζ47 | ζ44 | ζ41 | −ζ14 | −ζ11 | ||||||
| χ33 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||||||||||||||||||||||||||||||||
| χ34 | 1 | ζ11+ζ43 | ζ14+ζ46 | −ζ25−ζ41 | −ζ31−ζ47 | ζ10+ζ26 | ζ13+ζ29 | -1 | −ζ11−ζ43 | −ζ14−ζ46 | ζ25+ζ41 | ζ31+ζ47 | −ζ10−ζ26 | −ζ13−ζ29 | −ζ11 | −ζ14 | ζ41 | ζ44 | ζ47 | −ζ26 | −ζ29 | ζ11 | ζ14 | −ζ41 | −ζ44 | −ζ47 | ζ26 | ζ29 | −ζ43 | −ζ46 | ζ25 | ζ28 | ζ31 | −ζ10 | −ζ13 | ζ43 | ζ46 | −ζ25 | −ζ28 | −ζ31 | ζ10 | ζ13 | ||||||
| χ35 | 1 | ζ14+ζ46 | ζ10+ζ26 | -1 | −ζ14−ζ46 | −ζ10−ζ26 | 1 | ζ14+ζ46 | ζ10+ζ26 | -1 | −ζ14−ζ46 | −ζ10−ζ26 | −ζ14 | ζ44 | −ζ26 | ζ14 | −ζ44 | ζ26 | −ζ14 | ζ44 | −ζ26 | ζ14 | −ζ44 | ζ26 | −ζ46 | ζ28 | −ζ10 | ζ46 | −ζ28 | ζ10 | −ζ46 | ζ28 | −ζ10 | ζ46 | −ζ28 | ζ10 | ||||||||||||
| χ36 | 1 | −ζ25−ζ41 | ζ10+ζ26 | −ζ11−ζ43 | −ζ13−ζ29 | ζ14+ζ46 | −ζ31−ζ47 | -1 | ζ25+ζ41 | −ζ10−ζ26 | ζ11+ζ43 | ζ13+ζ29 | −ζ14−ζ46 | ζ31+ζ47 | ζ41 | −ζ26 | ζ11 | −ζ44 | ζ29 | −ζ14 | ζ47 | −ζ41 | ζ26 | −ζ11 | ζ44 | −ζ29 | ζ14 | −ζ47 | ζ25 | −ζ10 | ζ43 | −ζ28 | ζ13 | −ζ46 | ζ31 | −ζ25 | ζ10 | −ζ43 | ζ28 | −ζ13 | ζ46 | −ζ31 | ||||||
| χ37 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | ζ44 | −ζ44 | ζ44 | −ζ44 | ζ44 | −ζ44 | ζ44 | −ζ44 | ζ28 | −ζ28 | ζ28 | −ζ28 | ζ28 | −ζ28 | ζ28 | −ζ28 | ||||||||||||||||||||||||
| χ38 | 1 | −ζ31−ζ47 | −ζ14−ζ46 | −ζ13−ζ29 | −ζ11−ζ43 | −ζ10−ζ26 | −ζ25−ζ41 | -1 | ζ31+ζ47 | ζ14+ζ46 | ζ13+ζ29 | ζ11+ζ43 | ζ10+ζ26 | ζ25+ζ41 | ζ47 | ζ14 | ζ29 | ζ44 | ζ11 | ζ26 | ζ41 | −ζ47 | −ζ14 | −ζ29 | −ζ44 | −ζ11 | −ζ26 | −ζ41 | ζ31 | ζ46 | ζ13 | ζ28 | ζ43 | ζ10 | ζ25 | −ζ31 | −ζ46 | −ζ13 | −ζ28 | −ζ43 | −ζ10 | −ζ25 | ||||||
| χ39 | 1 | ζ10+ζ26 | ζ14+ζ46 | -1 | −ζ10−ζ26 | −ζ14−ζ46 | 1 | ζ10+ζ26 | ζ14+ζ46 | -1 | −ζ10−ζ26 | −ζ14−ζ46 | −ζ26 | −ζ44 | −ζ14 | ζ26 | ζ44 | ζ14 | −ζ26 | −ζ44 | −ζ14 | ζ26 | ζ44 | ζ14 | −ζ10 | −ζ28 | −ζ46 | ζ10 | ζ28 | ζ46 | −ζ10 | −ζ28 | −ζ46 | ζ10 | ζ28 | ζ46 | ||||||||||||
| χ40 | 1 | ζ13+ζ29 | −ζ10−ζ26 | −ζ31−ζ47 | −ζ25−ζ41 | −ζ14−ζ46 | ζ11+ζ43 | -1 | −ζ13−ζ29 | ζ10+ζ26 | ζ31+ζ47 | ζ25+ζ41 | ζ14+ζ46 | −ζ11−ζ43 | −ζ29 | ζ26 | ζ47 | −ζ44 | ζ41 | ζ14 | −ζ11 | ζ29 | −ζ26 | −ζ47 | ζ44 | −ζ41 | −ζ14 | ζ11 | −ζ13 | ζ10 | ζ31 | −ζ28 | ζ25 | ζ46 | −ζ43 | ζ13 | −ζ10 | −ζ31 | ζ28 | −ζ25 | −ζ46 | ζ43 | ||||||
| χ41 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | ||||||||||||||||||||||||||||||||
| χ42 | 1 | −ζ11−ζ43 | ζ14+ζ46 | ζ25+ζ41 | ζ31+ζ47 | ζ10+ζ26 | −ζ13−ζ29 | -1 | ζ11+ζ43 | −ζ14−ζ46 | −ζ25−ζ41 | −ζ31−ζ47 | −ζ10−ζ26 | ζ13+ζ29 | ζ11 | −ζ14 | −ζ41 | ζ44 | −ζ47 | −ζ26 | ζ29 | −ζ11 | ζ14 | ζ41 | −ζ44 | ζ47 | ζ26 | −ζ29 | ζ43 | −ζ46 | −ζ25 | ζ28 | −ζ31 | −ζ10 | ζ13 | −ζ43 | ζ46 | ζ25 | −ζ28 | ζ31 | ζ10 | −ζ13 | ||||||
| χ43 | 1 | −ζ14−ζ46 | −ζ10−ζ26 | -1 | ζ14+ζ46 | ζ10+ζ26 | 1 | −ζ14−ζ46 | −ζ10−ζ26 | -1 | ζ14+ζ46 | ζ10+ζ26 | ζ14 | ζ44 | ζ26 | −ζ14 | −ζ44 | −ζ26 | ζ14 | ζ44 | ζ26 | −ζ14 | −ζ44 | −ζ26 | ζ46 | ζ28 | ζ10 | −ζ46 | −ζ28 | −ζ10 | ζ46 | ζ28 | ζ10 | −ζ46 | −ζ28 | −ζ10 | ||||||||||||
| χ44 | 1 | ζ25+ζ41 | ζ10+ζ26 | ζ11+ζ43 | ζ13+ζ29 | ζ14+ζ46 | ζ31+ζ47 | -1 | −ζ25−ζ41 | −ζ10−ζ26 | −ζ11−ζ43 | −ζ13−ζ29 | −ζ14−ζ46 | −ζ31−ζ47 | −ζ41 | −ζ26 | −ζ11 | −ζ44 | −ζ29 | −ζ14 | −ζ47 | ζ41 | ζ26 | ζ11 | ζ44 | ζ29 | ζ14 | ζ47 | −ζ25 | −ζ10 | −ζ43 | −ζ28 | −ζ13 | −ζ46 | −ζ31 | ζ25 | ζ10 | ζ43 | ζ28 | ζ13 | ζ46 | ζ31 | ||||||
| χ45 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | −ζ44 | ζ44 | −ζ44 | ζ44 | −ζ44 | ζ44 | −ζ44 | ζ44 | −ζ28 | ζ28 | −ζ28 | ζ28 | −ζ28 | ζ28 | −ζ28 | ζ28 | ||||||||||||||||||||||||
| χ46 | 1 | ζ31+ζ47 | −ζ14−ζ46 | ζ13+ζ29 | ζ11+ζ43 | −ζ10−ζ26 | ζ25+ζ41 | -1 | −ζ31−ζ47 | ζ14+ζ46 | −ζ13−ζ29 | −ζ11−ζ43 | ζ10+ζ26 | −ζ25−ζ41 | −ζ47 | ζ14 | −ζ29 | ζ44 | −ζ11 | ζ26 | −ζ41 | ζ47 | −ζ14 | ζ29 | −ζ44 | ζ11 | −ζ26 | ζ41 | −ζ31 | ζ46 | −ζ13 | ζ28 | −ζ43 | ζ10 | −ζ25 | ζ31 | −ζ46 | ζ13 | −ζ28 | ζ43 | −ζ10 | ζ25 | ||||||
| χ47 | 1 | −ζ10−ζ26 | −ζ14−ζ46 | -1 | ζ10+ζ26 | ζ14+ζ46 | 1 | −ζ10−ζ26 | −ζ14−ζ46 | -1 | ζ10+ζ26 | ζ14+ζ46 | ζ26 | −ζ44 | ζ14 | −ζ26 | ζ44 | −ζ14 | ζ26 | −ζ44 | ζ14 | −ζ26 | ζ44 | −ζ14 | ζ10 | −ζ28 | ζ46 | −ζ10 | ζ28 | −ζ46 | ζ10 | −ζ28 | ζ46 | −ζ10 | ζ28 | −ζ46 | ||||||||||||
| χ48 | 1 | −ζ13−ζ29 | −ζ10−ζ26 | ζ31+ζ47 | ζ25+ζ41 | −ζ14−ζ46 | −ζ11−ζ43 | -1 | ζ13+ζ29 | ζ10+ζ26 | −ζ31−ζ47 | −ζ25−ζ41 | ζ14+ζ46 | ζ11+ζ43 | ζ29 | ζ26 | −ζ47 | −ζ44 | −ζ41 | ζ14 | ζ11 | −ζ29 | −ζ26 | ζ47 | ζ44 | ζ41 | −ζ14 | −ζ11 | ζ13 | ζ10 | −ζ31 | −ζ28 | −ζ25 | ζ46 | ζ43 | −ζ13 | −ζ10 | ζ31 | ζ28 | ζ25 | −ζ46 | −ζ43 |
Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.