Finite Group Databasebeta

← Group #4428

Character table — Group #4428

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+ζ60ζ13−ζ40+ζ52−ζ61−ζ31+ζ34+ζ40−ζ52−ζ13+ζ31−ζ34+ζ61ζ4+ζ16−ζ22−ζ43−ζ16+ζ22+ζ25−ζ58−ζ4−ζ25+ζ43+ζ58ζ5+ζ17−ζ41−ζ62−ζ5−ζ26+ζ59+ζ62−ζ17+ζ26+ζ41−ζ59ζ8−ζ23+ζ32−ζ44−ζ8+ζ23−ζ50+ζ53−ζ32+ζ44+ζ50−ζ53000000
χ183−3+3i32−3−3i32−1−i72−1+i7200ζ3+ζ12+ζ48ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ15+ζ51+ζ60−ζ31+ζ34+ζ40−ζ52−ζ13+ζ31−ζ34+ζ61ζ13−ζ40+ζ52−ζ61−ζ16+ζ22+ζ25−ζ58−ζ4−ζ25+ζ43+ζ58ζ4+ζ16−ζ22−ζ43−ζ5−ζ26+ζ59+ζ62−ζ17+ζ26+ζ41−ζ59ζ5+ζ17−ζ41−ζ62−ζ32+ζ44+ζ50−ζ53ζ8−ζ23+ζ32−ζ44−ζ8+ζ23−ζ50+ζ53000000
χ193−3+3i32−3−3i32−1−i72−1+i7200ζ3+ζ12+ζ48ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ15+ζ51+ζ60−ζ13+ζ31−ζ34+ζ61ζ13−ζ40+ζ52−ζ61−ζ31+ζ34+ζ40−ζ52−ζ4−ζ25+ζ43+ζ58ζ4+ζ16−ζ22−ζ43−ζ16+ζ22+ζ25−ζ58−ζ17+ζ26+ζ41−ζ59ζ5+ζ17−ζ41−ζ62−ζ5−ζ26+ζ59+ζ62−ζ8+ζ23−ζ50+ζ53−ζ32+ζ44+ζ50−ζ53ζ8−ζ23+ζ32−ζ44000000
χ203−3+3i32−3−3i32−1+i72−1−i7200ζ30+ζ39+ζ57ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ6+ζ24+ζ33ζ4+ζ16−ζ22−ζ43−ζ16+ζ22+ζ25−ζ58−ζ4−ζ25+ζ43+ζ58−ζ31+ζ34+ζ40−ζ52−ζ13+ζ31−ζ34+ζ61ζ13−ζ40+ζ52−ζ61−ζ32+ζ44+ζ50−ζ53−ζ8+ζ23−ζ50+ζ53ζ8−ζ23+ζ32−ζ44ζ5+ζ17−ζ41−ζ62−ζ17+ζ26+ζ41−ζ59−ζ5−ζ26+ζ59+ζ62000000
χ213−3+3i32−3−3i32−1+i72−1−i7200ζ30+ζ39+ζ57ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ6+ζ24+ζ33−ζ16+ζ22+ζ25−ζ58−ζ4−ζ25+ζ43+ζ58ζ4+ζ16−ζ22−ζ43−ζ13+ζ31−ζ34+ζ61ζ13−ζ40+ζ52−ζ61−ζ31+ζ34+ζ40−ζ52−ζ8+ζ23−ζ50+ζ53ζ8−ζ23+ζ32−ζ44−ζ32+ζ44+ζ50−ζ53−ζ5−ζ26+ζ59+ζ62ζ5+ζ17−ζ41−ζ62−ζ17+ζ26+ζ41−ζ59000000
χ223−3+3i32−3−3i32−1+i72−1−i7200ζ30+ζ39+ζ57ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ6+ζ24+ζ33−ζ4−ζ25+ζ43+ζ58ζ4+ζ16−ζ22−ζ43−ζ16+ζ22+ζ25−ζ58ζ13−ζ40+ζ52−ζ61−ζ31+ζ34+ζ40−ζ52−ζ13+ζ31−ζ34+ζ61ζ8−ζ23+ζ32−ζ44−ζ32+ζ44+ζ50−ζ53−ζ8+ζ23−ζ50+ζ53−ζ17+ζ26+ζ41−ζ59−ζ5−ζ26+ζ59+ζ62ζ5+ζ17−ζ41−ζ62000000
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+ζ57ζ5+ζ17−ζ41−ζ62−ζ5−ζ26+ζ59+ζ62−ζ17+ζ26+ζ41−ζ59−ζ32+ζ44+ζ50−ζ53−ζ8+ζ23−ζ50+ζ53ζ8−ζ23+ζ32−ζ44−ζ13+ζ31−ζ34+ζ61ζ13−ζ40+ζ52−ζ61−ζ31+ζ34+ζ40−ζ52−ζ16+ζ22+ζ25−ζ58ζ4+ζ16−ζ22−ζ43−ζ4−ζ25+ζ43+ζ58000000
χ253−3−3i32−3+3i32−1−i72−1+i7200ζ6+ζ24+ζ33ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ30+ζ39+ζ57−ζ5−ζ26+ζ59+ζ62−ζ17+ζ26+ζ41−ζ59ζ5+ζ17−ζ41−ζ62−ζ8+ζ23−ζ50+ζ53ζ8−ζ23+ζ32−ζ44−ζ32+ζ44+ζ50−ζ53ζ13−ζ40+ζ52−ζ61−ζ31+ζ34+ζ40−ζ52−ζ13+ζ31−ζ34+ζ61−ζ4−ζ25+ζ43+ζ58−ζ16+ζ22+ζ25−ζ58ζ4+ζ16−ζ22−ζ43000000
χ263−3−3i32−3+3i32−1−i72−1+i7200ζ6+ζ24+ζ33ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ30+ζ39+ζ57−ζ17+ζ26+ζ41−ζ59ζ5+ζ17−ζ41−ζ62−ζ5−ζ26+ζ59+ζ62ζ8−ζ23+ζ32−ζ44−ζ32+ζ44+ζ50−ζ53−ζ8+ζ23−ζ50+ζ53−ζ31+ζ34+ζ40−ζ52−ζ13+ζ31−ζ34+ζ61ζ13−ζ40+ζ52−ζ61ζ4+ζ16−ζ22−ζ43−ζ4−ζ25+ζ43+ζ58−ζ16+ζ22+ζ25−ζ58000000
χ273−3−3i32−3+3i32−1+i72−1−i7200ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ3+ζ12+ζ48ζ8−ζ23+ζ32−ζ44−ζ32+ζ44+ζ50−ζ53−ζ8+ζ23−ζ50+ζ53ζ5+ζ17−ζ41−ζ62−ζ5−ζ26+ζ59+ζ62−ζ17+ζ26+ζ41−ζ59−ζ16+ζ22+ζ25−ζ58−ζ4−ζ25+ζ43+ζ58ζ4+ζ16−ζ22−ζ43−ζ31+ζ34+ζ40−ζ52ζ13−ζ40+ζ52−ζ61−ζ13+ζ31−ζ34+ζ61000000
χ283−3−3i32−3+3i32−1+i72−1−i7200ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ3+ζ12+ζ48−ζ8+ζ23−ζ50+ζ53ζ8−ζ23+ζ32−ζ44−ζ32+ζ44+ζ50−ζ53−ζ17+ζ26+ζ41−ζ59ζ5+ζ17−ζ41−ζ62−ζ5−ζ26+ζ59+ζ62ζ4+ζ16−ζ22−ζ43−ζ16+ζ22+ζ25−ζ58−ζ4−ζ25+ζ43+ζ58ζ13−ζ40+ζ52−ζ61−ζ13+ζ31−ζ34+ζ61−ζ31+ζ34+ζ40−ζ52000000
χ293−3−3i32−3+3i32−1+i72−1−i7200ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ3+ζ12+ζ48−ζ32+ζ44+ζ50−ζ53−ζ8+ζ23−ζ50+ζ53ζ8−ζ23+ζ32−ζ44−ζ5−ζ26+ζ59+ζ62−ζ17+ζ26+ζ41−ζ59ζ5+ζ17−ζ41−ζ62−ζ4−ζ25+ζ43+ζ58ζ4+ζ16−ζ22−ζ43−ζ16+ζ22+ζ25−ζ58−ζ13+ζ31−ζ34+ζ61−ζ31+ζ34+ζ40−ζ52ζ13−ζ40+ζ52−ζ61000000

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