Order 88.
| 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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 11 | 11 | 11 | 11 |
| order | 1 | 2 | 4 | 4 | 11 | 11 | 11 | 11 | 11 | 22 | 22 | 22 | 22 | 22 | 44 | 44 | 44 | 44 | 44 | 44 | 44 | 44 | 44 | 44 | 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 | 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 |
| 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 | ||||
| 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 | ||||
| χ5 | 1 | -1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | ζ7+ζ15+ζ23+ζ31+ζ39+ζ47+ζ63+ζ71+ζ79+ζ87 | −ζ7−ζ15−ζ23−ζ31−ζ39−ζ47−ζ63−ζ71−ζ79−ζ87 | ζ5+ζ13+ζ21+ζ29+ζ37+ζ45+ζ53+ζ61+ζ69+ζ85 | −ζ5−ζ13−ζ21−ζ29−ζ37−ζ45−ζ53−ζ61−ζ69−ζ85 | ||||||||||||
| χ6 | 1 | -1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | −ζ7−ζ15−ζ23−ζ31−ζ39−ζ47−ζ63−ζ71−ζ79−ζ87 | ζ7+ζ15+ζ23+ζ31+ζ39+ζ47+ζ63+ζ71+ζ79+ζ87 | −ζ5−ζ13−ζ21−ζ29−ζ37−ζ45−ζ53−ζ61−ζ69−ζ85 | ζ5+ζ13+ζ21+ζ29+ζ37+ζ45+ζ53+ζ61+ζ69+ζ85 | ||||||||||||
| χ7 | 1 | -1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | ζ5+ζ13+ζ21+ζ29+ζ37+ζ45+ζ53+ζ61+ζ69+ζ85 | −ζ5−ζ13−ζ21−ζ29−ζ37−ζ45−ζ53−ζ61−ζ69−ζ85 | ζ7+ζ15+ζ23+ζ31+ζ39+ζ47+ζ63+ζ71+ζ79+ζ87 | −ζ7−ζ15−ζ23−ζ31−ζ39−ζ47−ζ63−ζ71−ζ79−ζ87 | ||||||||||||
| χ8 | 1 | -1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | −ζ5−ζ13−ζ21−ζ29−ζ37−ζ45−ζ53−ζ61−ζ69−ζ85 | ζ5+ζ13+ζ21+ζ29+ζ37+ζ45+ζ53+ζ61+ζ69+ζ85 | −ζ7−ζ15−ζ23−ζ31−ζ39−ζ47−ζ63−ζ71−ζ79−ζ87 | ζ7+ζ15+ζ23+ζ31+ζ39+ζ47+ζ63+ζ71+ζ79+ζ87 | ||||||||||||
| χ9 | 2 | 2 | 2 | 2 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ4−ζ84 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ4−ζ84 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ4−ζ84 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ4−ζ84 | 0 | 0 | 0 | 0 |
| χ10 | 2 | 2 | 2 | 2 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ28−ζ60 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ28−ζ60 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ28−ζ60 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ28−ζ60 | 0 | 0 | 0 | 0 |
| χ11 | 2 | 2 | 2 | 2 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ36−ζ52 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ36−ζ52 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ36−ζ52 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ36−ζ52 | 0 | 0 | 0 | 0 |
| χ12 | 2 | 2 | 2 | 2 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ12−ζ76 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ12−ζ76 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ12−ζ76 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ12−ζ76 | 0 | 0 | 0 | 0 |
| χ13 | 2 | 2 | 2 | 2 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ20−ζ68 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ20−ζ68 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ20−ζ68 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ20−ζ68 | 0 | 0 | 0 | 0 |
| χ14 | 2 | 2 | -2 | -2 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ4−ζ84 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ4−ζ84 | ζ36+ζ52 | ζ12+ζ76 | ζ28+ζ60 | ζ20+ζ68 | ζ4+ζ84 | ζ36+ζ52 | ζ12+ζ76 | ζ28+ζ60 | ζ20+ζ68 | ζ4+ζ84 | 0 | 0 | 0 | 0 |
| χ15 | 2 | 2 | -2 | -2 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ28−ζ60 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ28−ζ60 | ζ12+ζ76 | ζ4+ζ84 | ζ20+ζ68 | ζ36+ζ52 | ζ28+ζ60 | ζ12+ζ76 | ζ4+ζ84 | ζ20+ζ68 | ζ36+ζ52 | ζ28+ζ60 | 0 | 0 | 0 | 0 |
| χ16 | 2 | 2 | -2 | -2 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ36−ζ52 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ36−ζ52 | ζ28+ζ60 | ζ20+ζ68 | ζ12+ζ76 | ζ4+ζ84 | ζ36+ζ52 | ζ28+ζ60 | ζ20+ζ68 | ζ12+ζ76 | ζ4+ζ84 | ζ36+ζ52 | 0 | 0 | 0 | 0 |
| χ17 | 2 | 2 | -2 | -2 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ12−ζ76 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ12−ζ76 | ζ20+ζ68 | ζ36+ζ52 | ζ4+ζ84 | ζ28+ζ60 | ζ12+ζ76 | ζ20+ζ68 | ζ36+ζ52 | ζ4+ζ84 | ζ28+ζ60 | ζ12+ζ76 | 0 | 0 | 0 | 0 |
| χ18 | 2 | 2 | -2 | -2 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ20−ζ68 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ20−ζ68 | ζ4+ζ84 | ζ28+ζ60 | ζ36+ζ52 | ζ12+ζ76 | ζ20+ζ68 | ζ4+ζ84 | ζ28+ζ60 | ζ36+ζ52 | ζ12+ζ76 | ζ20+ζ68 | 0 | 0 | 0 | 0 |
| χ19 | 2 | -2 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ4−ζ84 | ζ36+ζ52 | ζ12+ζ76 | ζ28+ζ60 | ζ20+ζ68 | ζ4+ζ84 | ζ14+ζ30 | ζ54+ζ78 | ζ6+ζ38 | ζ46+ζ86 | ζ62+ζ70 | −ζ14−ζ30 | −ζ54−ζ78 | −ζ6−ζ38 | −ζ46−ζ86 | −ζ62−ζ70 | 0 | 0 | 0 | 0 | ||
| χ20 | 2 | -2 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ28−ζ60 | ζ12+ζ76 | ζ4+ζ84 | ζ20+ζ68 | ζ36+ζ52 | ζ28+ζ60 | ζ54+ζ78 | ζ62+ζ70 | ζ46+ζ86 | ζ14+ζ30 | ζ6+ζ38 | −ζ54−ζ78 | −ζ62−ζ70 | −ζ46−ζ86 | −ζ14−ζ30 | −ζ6−ζ38 | 0 | 0 | 0 | 0 | ||
| χ21 | 2 | -2 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ36−ζ52 | ζ28+ζ60 | ζ20+ζ68 | ζ12+ζ76 | ζ4+ζ84 | ζ36+ζ52 | ζ6+ζ38 | ζ46+ζ86 | ζ54+ζ78 | ζ62+ζ70 | ζ14+ζ30 | −ζ6−ζ38 | −ζ46−ζ86 | −ζ54−ζ78 | −ζ62−ζ70 | −ζ14−ζ30 | 0 | 0 | 0 | 0 | ||
| χ22 | 2 | -2 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ12−ζ76 | ζ20+ζ68 | ζ36+ζ52 | ζ4+ζ84 | ζ28+ζ60 | ζ12+ζ76 | ζ46+ζ86 | ζ14+ζ30 | ζ62+ζ70 | ζ6+ζ38 | ζ54+ζ78 | −ζ46−ζ86 | −ζ14−ζ30 | −ζ62−ζ70 | −ζ6−ζ38 | −ζ54−ζ78 | 0 | 0 | 0 | 0 | ||
| χ23 | 2 | -2 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ20−ζ68 | ζ4+ζ84 | ζ28+ζ60 | ζ36+ζ52 | ζ12+ζ76 | ζ20+ζ68 | ζ62+ζ70 | ζ6+ζ38 | ζ14+ζ30 | ζ54+ζ78 | ζ46+ζ86 | −ζ62−ζ70 | −ζ6−ζ38 | −ζ14−ζ30 | −ζ54−ζ78 | −ζ46−ζ86 | 0 | 0 | 0 | 0 | ||
| χ24 | 2 | -2 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ4−ζ84 | ζ36+ζ52 | ζ12+ζ76 | ζ28+ζ60 | ζ20+ζ68 | ζ4+ζ84 | −ζ14−ζ30 | −ζ54−ζ78 | −ζ6−ζ38 | −ζ46−ζ86 | −ζ62−ζ70 | ζ14+ζ30 | ζ54+ζ78 | ζ6+ζ38 | ζ46+ζ86 | ζ62+ζ70 | 0 | 0 | 0 | 0 | ||
| χ25 | 2 | -2 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ28−ζ60 | ζ12+ζ76 | ζ4+ζ84 | ζ20+ζ68 | ζ36+ζ52 | ζ28+ζ60 | −ζ54−ζ78 | −ζ62−ζ70 | −ζ46−ζ86 | −ζ14−ζ30 | −ζ6−ζ38 | ζ54+ζ78 | ζ62+ζ70 | ζ46+ζ86 | ζ14+ζ30 | ζ6+ζ38 | 0 | 0 | 0 | 0 | ||
| χ26 | 2 | -2 | −ζ28−ζ60 | −ζ20−ζ68 | −ζ12−ζ76 | −ζ4−ζ84 | −ζ36−ζ52 | ζ28+ζ60 | ζ20+ζ68 | ζ12+ζ76 | ζ4+ζ84 | ζ36+ζ52 | −ζ6−ζ38 | −ζ46−ζ86 | −ζ54−ζ78 | −ζ62−ζ70 | −ζ14−ζ30 | ζ6+ζ38 | ζ46+ζ86 | ζ54+ζ78 | ζ62+ζ70 | ζ14+ζ30 | 0 | 0 | 0 | 0 | ||
| χ27 | 2 | -2 | −ζ20−ζ68 | −ζ36−ζ52 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ12−ζ76 | ζ20+ζ68 | ζ36+ζ52 | ζ4+ζ84 | ζ28+ζ60 | ζ12+ζ76 | −ζ46−ζ86 | −ζ14−ζ30 | −ζ62−ζ70 | −ζ6−ζ38 | −ζ54−ζ78 | ζ46+ζ86 | ζ14+ζ30 | ζ62+ζ70 | ζ6+ζ38 | ζ54+ζ78 | 0 | 0 | 0 | 0 | ||
| χ28 | 2 | -2 | −ζ4−ζ84 | −ζ28−ζ60 | −ζ36−ζ52 | −ζ12−ζ76 | −ζ20−ζ68 | ζ4+ζ84 | ζ28+ζ60 | ζ36+ζ52 | ζ12+ζ76 | ζ20+ζ68 | −ζ62−ζ70 | −ζ6−ζ38 | −ζ14−ζ30 | −ζ54−ζ78 | −ζ46−ζ86 | ζ62+ζ70 | ζ6+ζ38 | ζ14+ζ30 | ζ54+ζ78 | ζ46+ζ86 | 0 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 88 (ζ88 = 1); i = ζ22.