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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 2 | 2 | 2 | 8 | 20 | 20 | 24 | 24 | 30 | 30 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 48 | 48 | 48 | 60 | 60 | 60 | 60 | 60 | 80 | 96 | 96 | 120 | 160 | 160 | 240 |
| order | 1 | 2 | 4 | 8 | 8 | 4 | 3 | 6 | 5 | 10 | 2 | 4 | 12 | 16 | 16 | 24 | 24 | 48 | 48 | 48 | 48 | 20 | 40 | 40 | 8 | 16 | 16 | 16 | 16 | 2 | 20 | 20 | 2 | 6 | 12 | 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 | 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 |
| χ3 | 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 |
| χ4 | 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 |
| χ5 | 2 | 2 | 2 | -2 | -2 | 0 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | -2 | -2 | 0 | 0 | 0 | 0 | 2 | -2 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ6 | 2 | 2 | -2 | 0 | 0 | 0 | 2 | 2 | 2 | 2 | -2 | 2 | -2 | 0 | 0 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ7 | 2 | 2 | -2 | 0 | 0 | 0 | 2 | 2 | 2 | 2 | -2 | 2 | -2 | 0 | 0 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ8 | 4 | 4 | 4 | 4 | 4 | 4 | 1 | 1 | -1 | -1 | 0 | 0 | 1 | 2 | 2 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 2 | -1 | -1 | 0 | -1 | 1 | 0 |
| χ9 | 4 | 4 | 4 | 4 | 4 | 4 | 1 | 1 | -1 | -1 | 0 | 0 | 1 | -2 | -2 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | -2 | -1 | -1 | 0 | 1 | 1 | 0 |
| χ10 | 4 | 4 | 4 | 4 | 4 | -4 | 1 | 1 | -1 | -1 | 0 | 0 | 1 | 2 | 2 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | -2 | 1 | 1 | 0 | 1 | -1 | 0 |
| χ11 | 4 | 4 | 4 | 4 | 4 | -4 | 1 | 1 | -1 | -1 | 0 | 0 | 1 | -2 | -2 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 2 | 1 | 1 | 0 | -1 | -1 | 0 |
| χ12 | 5 | 5 | 5 | 5 | 5 | 5 | -1 | -1 | 0 | 0 | 1 | 1 | -1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | -1 | -1 | -1 | -1 | 1 | 0 | 0 | 1 | 1 | -1 | -1 |
| χ13 | 5 | 5 | 5 | 5 | 5 | 5 | -1 | -1 | 0 | 0 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | -1 | 0 | 0 | 1 | -1 | -1 | 1 |
| χ14 | 5 | 5 | 5 | 5 | 5 | -5 | -1 | -1 | 0 | 0 | 1 | 1 | -1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | -1 | -1 | 1 | 1 |
| χ15 | 5 | 5 | 5 | 5 | 5 | -5 | -1 | -1 | 0 | 0 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | -1 | 1 | 1 | -1 |
| χ16 | 6 | 6 | 6 | 6 | 6 | 6 | 0 | 0 | 1 | 1 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | -2 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | -2 | 0 | 0 | 0 |
| χ17 | 6 | 6 | 6 | 6 | 6 | -6 | 0 | 0 | 1 | 1 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | -2 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | 2 | 0 | 0 | 0 |
| χ18 | 6 | 6 | 6 | -6 | -6 | 0 | 0 | 0 | 1 | 1 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | -1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
| χ19 | 6 | 6 | 6 | -6 | -6 | 0 | 0 | 0 | 1 | 1 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | -1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
| χ20 | 8 | 8 | 8 | -8 | -8 | 0 | 2 | 2 | -2 | -2 | 0 | 0 | 2 | 0 | 0 | -2 | -2 | 0 | 0 | 0 | 0 | -2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ21 | 8 | 8 | -8 | 0 | 0 | 0 | 2 | 2 | -2 | -2 | 0 | 0 | -2 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||
| χ22 | 8 | 8 | -8 | 0 | 0 | 0 | 2 | 2 | -2 | -2 | 0 | 0 | -2 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||
| χ23 | 8 | -8 | 0 | 0 | 2 | -2 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | ζ31−ζ41−ζ47+ζ73+ζ79−ζ89+ζ121+ζ127−ζ137−ζ143+ζ169−ζ191+ζ217+ζ223−ζ233−ζ239 | −ζ31+ζ41+ζ47−ζ73−ζ79+ζ89−ζ121−ζ127+ζ137+ζ143−ζ169+ζ191−ζ217−ζ223+ζ233+ζ239 | −ζ11+ζ13−ζ29+ζ43−ζ59+ζ61−ζ77+ζ91−ζ107+ζ109+ζ139+ζ157−ζ173+ζ187−ζ203−ζ221 | ζ11−ζ13+ζ29−ζ43+ζ59−ζ61+ζ77−ζ91+ζ107−ζ109−ζ139−ζ157+ζ173−ζ187+ζ203+ζ221 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||
| χ24 | 8 | -8 | 0 | 0 | 2 | -2 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | −ζ31+ζ41+ζ47−ζ73−ζ79+ζ89−ζ121−ζ127+ζ137+ζ143−ζ169+ζ191−ζ217−ζ223+ζ233+ζ239 | ζ31−ζ41−ζ47+ζ73+ζ79−ζ89+ζ121+ζ127−ζ137−ζ143+ζ169−ζ191+ζ217+ζ223−ζ233−ζ239 | ζ11−ζ13+ζ29−ζ43+ζ59−ζ61+ζ77−ζ91+ζ107−ζ109−ζ139−ζ157+ζ173−ζ187+ζ203+ζ221 | −ζ11+ζ13−ζ29+ζ43−ζ59+ζ61−ζ77+ζ91−ζ107+ζ109+ζ139+ζ157−ζ173+ζ187−ζ203−ζ221 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||
| χ25 | 8 | -8 | 0 | 0 | -4 | 4 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||
| χ26 | 8 | -8 | 0 | 0 | 2 | -2 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | −ζ11+ζ13−ζ29+ζ43−ζ59+ζ61−ζ77+ζ91−ζ107+ζ109+ζ139+ζ157−ζ173+ζ187−ζ203−ζ221 | ζ11−ζ13+ζ29−ζ43+ζ59−ζ61+ζ77−ζ91+ζ107−ζ109−ζ139−ζ157+ζ173−ζ187+ζ203+ζ221 | −ζ31+ζ41+ζ47−ζ73−ζ79+ζ89−ζ121−ζ127+ζ137+ζ143−ζ169+ζ191−ζ217−ζ223+ζ233+ζ239 | ζ31−ζ41−ζ47+ζ73+ζ79−ζ89+ζ121+ζ127−ζ137−ζ143+ζ169−ζ191+ζ217+ζ223−ζ233−ζ239 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||
| χ27 | 8 | -8 | 0 | 0 | 2 | -2 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | ζ11−ζ13+ζ29−ζ43+ζ59−ζ61+ζ77−ζ91+ζ107−ζ109−ζ139−ζ157+ζ173−ζ187+ζ203+ζ221 | −ζ11+ζ13−ζ29+ζ43−ζ59+ζ61−ζ77+ζ91−ζ107+ζ109+ζ139+ζ157−ζ173+ζ187−ζ203−ζ221 | ζ31−ζ41−ζ47+ζ73+ζ79−ζ89+ζ121+ζ127−ζ137−ζ143+ζ169−ζ191+ζ217+ζ223−ζ233−ζ239 | −ζ31+ζ41+ζ47−ζ73−ζ79+ζ89−ζ121−ζ127+ζ137+ζ143−ζ169+ζ191−ζ217−ζ223+ζ233+ζ239 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||
| χ28 | 8 | -8 | 0 | 0 | -4 | 4 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||
| χ29 | 10 | 10 | 10 | -10 | -10 | 0 | -2 | -2 | 0 | 0 | 2 | 2 | -2 | 0 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ30 | 10 | 10 | -10 | 0 | 0 | 0 | -2 | -2 | 0 | 0 | -2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ31 | 10 | 10 | -10 | 0 | 0 | 0 | -2 | -2 | 0 | 0 | -2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ32 | 12 | 12 | -12 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 4 | -4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ33 | 12 | -12 | 0 | 0 | 0 | 0 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ11−ζ13−ζ29+ζ31−ζ41+ζ43+ζ47+ζ59−ζ61−ζ73−ζ77+ζ79−ζ89+ζ91+ζ107−ζ109−ζ121+ζ127−ζ137+ζ139+ζ143−ζ157−ζ169−ζ173+ζ187+ζ191+ζ203−ζ217−ζ221+ζ223−ζ233+ζ239 | −ζ11+ζ13+ζ29−ζ31+ζ41−ζ43−ζ47−ζ59+ζ61+ζ73+ζ77−ζ79+ζ89−ζ91−ζ107+ζ109+ζ121−ζ127+ζ137−ζ139−ζ143+ζ157+ζ169+ζ173−ζ187−ζ191−ζ203+ζ217+ζ221−ζ223+ζ233−ζ239 | −ζ11+ζ13+ζ29+ζ31−ζ41−ζ43+ζ47−ζ59+ζ61−ζ73+ζ77+ζ79−ζ89−ζ91−ζ107+ζ109−ζ121+ζ127−ζ137−ζ139+ζ143+ζ157−ζ169+ζ173−ζ187+ζ191−ζ203−ζ217+ζ221+ζ223−ζ233+ζ239 | ζ11−ζ13−ζ29−ζ31+ζ41+ζ43−ζ47+ζ59−ζ61+ζ73−ζ77−ζ79+ζ89+ζ91+ζ107−ζ109+ζ121−ζ127+ζ137+ζ139−ζ143−ζ157+ζ169−ζ173+ζ187−ζ191+ζ203+ζ217−ζ221−ζ223+ζ233−ζ239 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ34 | 12 | -12 | 0 | 0 | 0 | 0 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | −ζ11+ζ13+ζ29−ζ31+ζ41−ζ43−ζ47−ζ59+ζ61+ζ73+ζ77−ζ79+ζ89−ζ91−ζ107+ζ109+ζ121−ζ127+ζ137−ζ139−ζ143+ζ157+ζ169+ζ173−ζ187−ζ191−ζ203+ζ217+ζ221−ζ223+ζ233−ζ239 | ζ11−ζ13−ζ29+ζ31−ζ41+ζ43+ζ47+ζ59−ζ61−ζ73−ζ77+ζ79−ζ89+ζ91+ζ107−ζ109−ζ121+ζ127−ζ137+ζ139+ζ143−ζ157−ζ169−ζ173+ζ187+ζ191+ζ203−ζ217−ζ221+ζ223−ζ233+ζ239 | ζ11−ζ13−ζ29−ζ31+ζ41+ζ43−ζ47+ζ59−ζ61+ζ73−ζ77−ζ79+ζ89+ζ91+ζ107−ζ109+ζ121−ζ127+ζ137+ζ139−ζ143−ζ157+ζ169−ζ173+ζ187−ζ191+ζ203+ζ217−ζ221−ζ223+ζ233−ζ239 | −ζ11+ζ13+ζ29+ζ31−ζ41−ζ43+ζ47−ζ59+ζ61−ζ73+ζ77+ζ79−ζ89−ζ91−ζ107+ζ109−ζ121+ζ127−ζ137−ζ139+ζ143+ζ157−ζ169+ζ173−ζ187+ζ191−ζ203−ζ217+ζ221+ζ223−ζ233+ζ239 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ35 | 12 | -12 | 0 | 0 | 0 | 0 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | −ζ11+ζ13+ζ29+ζ31−ζ41−ζ43+ζ47−ζ59+ζ61−ζ73+ζ77+ζ79−ζ89−ζ91−ζ107+ζ109−ζ121+ζ127−ζ137−ζ139+ζ143+ζ157−ζ169+ζ173−ζ187+ζ191−ζ203−ζ217+ζ221+ζ223−ζ233+ζ239 | ζ11−ζ13−ζ29−ζ31+ζ41+ζ43−ζ47+ζ59−ζ61+ζ73−ζ77−ζ79+ζ89+ζ91+ζ107−ζ109+ζ121−ζ127+ζ137+ζ139−ζ143−ζ157+ζ169−ζ173+ζ187−ζ191+ζ203+ζ217−ζ221−ζ223+ζ233−ζ239 | −ζ11+ζ13+ζ29−ζ31+ζ41−ζ43−ζ47−ζ59+ζ61+ζ73+ζ77−ζ79+ζ89−ζ91−ζ107+ζ109+ζ121−ζ127+ζ137−ζ139−ζ143+ζ157+ζ169+ζ173−ζ187−ζ191−ζ203+ζ217+ζ221−ζ223+ζ233−ζ239 | ζ11−ζ13−ζ29+ζ31−ζ41+ζ43+ζ47+ζ59−ζ61−ζ73−ζ77+ζ79−ζ89+ζ91+ζ107−ζ109−ζ121+ζ127−ζ137+ζ139+ζ143−ζ157−ζ169−ζ173+ζ187+ζ191+ζ203−ζ217−ζ221+ζ223−ζ233+ζ239 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ36 | 12 | -12 | 0 | 0 | 0 | 0 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ11−ζ13−ζ29−ζ31+ζ41+ζ43−ζ47+ζ59−ζ61+ζ73−ζ77−ζ79+ζ89+ζ91+ζ107−ζ109+ζ121−ζ127+ζ137+ζ139−ζ143−ζ157+ζ169−ζ173+ζ187−ζ191+ζ203+ζ217−ζ221−ζ223+ζ233−ζ239 | −ζ11+ζ13+ζ29+ζ31−ζ41−ζ43+ζ47−ζ59+ζ61−ζ73+ζ77+ζ79−ζ89−ζ91−ζ107+ζ109−ζ121+ζ127−ζ137−ζ139+ζ143+ζ157−ζ169+ζ173−ζ187+ζ191−ζ203−ζ217+ζ221+ζ223−ζ233+ζ239 | ζ11−ζ13−ζ29+ζ31−ζ41+ζ43+ζ47+ζ59−ζ61−ζ73−ζ77+ζ79−ζ89+ζ91+ζ107−ζ109−ζ121+ζ127−ζ137+ζ139+ζ143−ζ157−ζ169−ζ173+ζ187+ζ191+ζ203−ζ217−ζ221+ζ223−ζ233+ζ239 | −ζ11+ζ13+ζ29−ζ31+ζ41−ζ43−ζ47−ζ59+ζ61+ζ73+ζ77−ζ79+ζ89−ζ91−ζ107+ζ109+ζ121−ζ127+ζ137−ζ139−ζ143+ζ157+ζ169+ζ173−ζ187−ζ191−ζ203+ζ217+ζ221−ζ223+ζ233−ζ239 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 240 (ζ240 = 1).