Finite Group Databasebeta

← Group #4427

Character table — Group #4427

Order 189.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29
size11133333333333333333333212121212121
order133779921212121636363636363636363636363339999
χ111111111111111111111111111111
χ211111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ311111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ411111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ511111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i3211−1+i32
χ611111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1−i321
χ711111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ811111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1+i321
χ911111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1+i3211−1−i32
χ10333−1−i72−1+i7233−1−i72−1−i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72000000
χ11333−1−i72−1+i72−3+3i32−3−3i32−1−i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60000000
χ12333−1−i72−1+i72−3−3i32−3+3i32−1−i72−1−i72−1+i72−1+i72ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57000000
χ13333−1+i72−1−i7233−1+i72−1+i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72000000
χ14333−1+i72−1−i72−3+3i32−3−3i32−1+i72−1+i72−1−i72−1−i72ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33000000
χ15333−1+i72−1−i72−3−3i32−3+3i32−1+i72−1+i72−1−i72−1−i72ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48000000
χ163−3+3i32−3−3i323300−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000
χ173−3+3i32−3−3i32−1−i72−1+i7200ζ3+ζ12+ζ48ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ15+ζ51+ζ60ζ31+ζ34−ζ40−ζ61ζ13−ζ31−ζ52+ζ61−ζ13−ζ34+ζ40+ζ52−ζ4+ζ16+ζ22−ζ25−ζ22+ζ25−ζ43+ζ58ζ4−ζ16+ζ43−ζ58ζ26−ζ41+ζ59−ζ62ζ5−ζ17−ζ59+ζ62−ζ5+ζ17−ζ26+ζ41ζ8+ζ23−ζ32−ζ53−ζ8+ζ32+ζ44−ζ50−ζ23−ζ44+ζ50+ζ53000000
χ183−3+3i32−3−3i32−1−i72−1+i7200ζ3+ζ12+ζ48ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ15+ζ51+ζ60ζ13−ζ31−ζ52+ζ61−ζ13−ζ34+ζ40+ζ52ζ31+ζ34−ζ40−ζ61−ζ22+ζ25−ζ43+ζ58ζ4−ζ16+ζ43−ζ58−ζ4+ζ16+ζ22−ζ25−ζ5+ζ17−ζ26+ζ41ζ26−ζ41+ζ59−ζ62ζ5−ζ17−ζ59+ζ62−ζ8+ζ32+ζ44−ζ50−ζ23−ζ44+ζ50+ζ53ζ8+ζ23−ζ32−ζ53000000
χ193−3+3i32−3−3i32−1−i72−1+i7200ζ3+ζ12+ζ48ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ15+ζ51+ζ60−ζ13−ζ34+ζ40+ζ52ζ31+ζ34−ζ40−ζ61ζ13−ζ31−ζ52+ζ61ζ4−ζ16+ζ43−ζ58−ζ4+ζ16+ζ22−ζ25−ζ22+ζ25−ζ43+ζ58ζ5−ζ17−ζ59+ζ62−ζ5+ζ17−ζ26+ζ41ζ26−ζ41+ζ59−ζ62−ζ23−ζ44+ζ50+ζ53ζ8+ζ23−ζ32−ζ53−ζ8+ζ32+ζ44−ζ50000000
χ203−3+3i32−3−3i32−1+i72−1−i7200ζ30+ζ39+ζ57ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ6+ζ24+ζ33−ζ4+ζ16+ζ22−ζ25−ζ22+ζ25−ζ43+ζ58ζ4−ζ16+ζ43−ζ58−ζ13−ζ34+ζ40+ζ52ζ31+ζ34−ζ40−ζ61ζ13−ζ31−ζ52+ζ61−ζ23−ζ44+ζ50+ζ53−ζ8+ζ32+ζ44−ζ50ζ8+ζ23−ζ32−ζ53ζ26−ζ41+ζ59−ζ62−ζ5+ζ17−ζ26+ζ41ζ5−ζ17−ζ59+ζ62000000
χ213−3+3i32−3−3i32−1+i72−1−i7200ζ30+ζ39+ζ57ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ6+ζ24+ζ33−ζ22+ζ25−ζ43+ζ58ζ4−ζ16+ζ43−ζ58−ζ4+ζ16+ζ22−ζ25ζ31+ζ34−ζ40−ζ61ζ13−ζ31−ζ52+ζ61−ζ13−ζ34+ζ40+ζ52ζ8+ζ23−ζ32−ζ53−ζ23−ζ44+ζ50+ζ53−ζ8+ζ32+ζ44−ζ50−ζ5+ζ17−ζ26+ζ41ζ5−ζ17−ζ59+ζ62ζ26−ζ41+ζ59−ζ62000000
χ223−3+3i32−3−3i32−1+i72−1−i7200ζ30+ζ39+ζ57ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ6+ζ24+ζ33ζ4−ζ16+ζ43−ζ58−ζ4+ζ16+ζ22−ζ25−ζ22+ζ25−ζ43+ζ58ζ13−ζ31−ζ52+ζ61−ζ13−ζ34+ζ40+ζ52ζ31+ζ34−ζ40−ζ61−ζ8+ζ32+ζ44−ζ50ζ8+ζ23−ζ32−ζ53−ζ23−ζ44+ζ50+ζ53ζ5−ζ17−ζ59+ζ62ζ26−ζ41+ζ59−ζ62−ζ5+ζ17−ζ26+ζ41000000
χ233−3−3i32−3+3i323300−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000
χ243−3−3i32−3+3i32−1−i72−1+i7200ζ6+ζ24+ζ33ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ26−ζ41+ζ59−ζ62−ζ5+ζ17−ζ26+ζ41ζ5−ζ17−ζ59+ζ62−ζ23−ζ44+ζ50+ζ53ζ8+ζ23−ζ32−ζ53−ζ8+ζ32+ζ44−ζ50ζ31+ζ34−ζ40−ζ61−ζ13−ζ34+ζ40+ζ52ζ13−ζ31−ζ52+ζ61−ζ22+ζ25−ζ43+ζ58ζ4−ζ16+ζ43−ζ58−ζ4+ζ16+ζ22−ζ25000000
χ253−3−3i32−3+3i32−1−i72−1+i7200ζ6+ζ24+ζ33ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ5−ζ17−ζ59+ζ62ζ26−ζ41+ζ59−ζ62−ζ5+ζ17−ζ26+ζ41−ζ8+ζ32+ζ44−ζ50−ζ23−ζ44+ζ50+ζ53ζ8+ζ23−ζ32−ζ53−ζ13−ζ34+ζ40+ζ52ζ13−ζ31−ζ52+ζ61ζ31+ζ34−ζ40−ζ61−ζ4+ζ16+ζ22−ζ25−ζ22+ζ25−ζ43+ζ58ζ4−ζ16+ζ43−ζ58000000
χ263−3−3i32−3+3i32−1−i72−1+i7200ζ6+ζ24+ζ33ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ30+ζ39+ζ57−ζ5+ζ17−ζ26+ζ41ζ5−ζ17−ζ59+ζ62ζ26−ζ41+ζ59−ζ62ζ8+ζ23−ζ32−ζ53−ζ8+ζ32+ζ44−ζ50−ζ23−ζ44+ζ50+ζ53ζ13−ζ31−ζ52+ζ61ζ31+ζ34−ζ40−ζ61−ζ13−ζ34+ζ40+ζ52ζ4−ζ16+ζ43−ζ58−ζ4+ζ16+ζ22−ζ25−ζ22+ζ25−ζ43+ζ58000000
χ273−3−3i32−3+3i32−1+i72−1−i7200ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ3+ζ12+ζ48ζ8+ζ23−ζ32−ζ53−ζ8+ζ32+ζ44−ζ50−ζ23−ζ44+ζ50+ζ53ζ26−ζ41+ζ59−ζ62−ζ5+ζ17−ζ26+ζ41ζ5−ζ17−ζ59+ζ62−ζ22+ζ25−ζ43+ζ58−ζ4+ζ16+ζ22−ζ25ζ4−ζ16+ζ43−ζ58ζ13−ζ31−ζ52+ζ61−ζ13−ζ34+ζ40+ζ52ζ31+ζ34−ζ40−ζ61000000
χ283−3−3i32−3+3i32−1+i72−1−i7200ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ3+ζ12+ζ48−ζ8+ζ32+ζ44−ζ50−ζ23−ζ44+ζ50+ζ53ζ8+ζ23−ζ32−ζ53−ζ5+ζ17−ζ26+ζ41ζ5−ζ17−ζ59+ζ62ζ26−ζ41+ζ59−ζ62ζ4−ζ16+ζ43−ζ58−ζ22+ζ25−ζ43+ζ58−ζ4+ζ16+ζ22−ζ25−ζ13−ζ34+ζ40+ζ52ζ31+ζ34−ζ40−ζ61ζ13−ζ31−ζ52+ζ61000000
χ293−3−3i32−3+3i32−1+i72−1−i7200ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ3+ζ12+ζ48−ζ23−ζ44+ζ50+ζ53ζ8+ζ23−ζ32−ζ53−ζ8+ζ32+ζ44−ζ50ζ5−ζ17−ζ59+ζ62ζ26−ζ41+ζ59−ζ62−ζ5+ζ17−ζ26+ζ41−ζ4+ζ16+ζ22−ζ25ζ4−ζ16+ζ43−ζ58−ζ22+ζ25−ζ43+ζ58ζ31+ζ34−ζ40−ζ61ζ13−ζ31−ζ52+ζ61−ζ13−ζ34+ζ40+ζ52000000

Here ζ is a primitive root of unity of order 63 (ζ63 = 1); i = ζ15.