Finite Group Databasebeta

← Group #72254908

Character table — Group #72254908

Order 3402.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1233666666771414181818181818181818181821212121424242424242545454545454126126126126126126189189189189189189189189189
order133379992121333339921216363636363633333999999212163636363339999266666666
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ41111111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i32
χ51111111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ61111111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i32
χ722222222222222-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ82222222222−1+i3−1−i3−1+i3−1−i3-1-1-122222222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321+i321−i321−i321+i321+i32000000000
χ92222222222−1−i3−1+i3−1−i3−1+i3-1-1-122222222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321−i321+i321+i321−i321−i32000000000
χ1022222-1-1-12222222-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-122-1-1-1-1000000000
χ1122222-1-1-1222222-12-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12-12-1000000000
χ1222222-1-1-1222222-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-12-12000000000
χ1322222-1-1-122−1+i3−1−i3−1+i3−1−i32-1-122-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321−i321+i321+i321+i3222-1-1-1-1−1+i3−1−i31−i321−i321+i321+i32000000000
χ1422222-1-1-122−1+i3−1−i3−1+i3−1−i3-12-122-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321−i321+i321+i321+i32-1-122-1-11−i321+i32−1+i31−i32−1−i31+i32000000000
χ1522222-1-1-122−1+i3−1−i3−1+i3−1−i3-1-1222-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321−i321+i321+i321+i32-1-1-1-1221−i321+i321−i32−1+i31+i32−1−i3000000000
χ1622222-1-1-122−1−i3−1+i3−1−i3−1+i32-1-122-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321+i321−i321−i321−i3222-1-1-1-1−1−i3−1+i31+i321+i321−i321−i32000000000
χ1722222-1-1-122−1−i3−1+i3−1−i3−1+i3-12-122-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321+i321−i321−i321−i32-1-122-1-11+i321−i32−1−i31+i32−1+i31−i32000000000
χ1822222-1-1-122−1−i3−1+i3−1−i3−1+i3-1-1222-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321+i321−i321−i321−i32-1-1-1-1221+i321−i321+i32−1−i31−i32−1+i3000000000
χ1933−3+3i32−3−3i323000333333000−3+3i32−3−3i32000000−3+3i32−3−3i32−3+3i32−3−3i320000000000000000001−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ2033−3+3i32−3−3i323000333333000−3+3i32−3−3i32000000−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000-11−i321+i32-1-11−i321+i321−i321+i32
χ2133−3+3i32−3−3i32300033−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i32000000−3−3i3233−3+3i320000000000000000001−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32
χ2233−3+3i32−3−3i32300033−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i32000000−3−3i3233−3+3i32000000000000000000-11−i321+i321−i321+i321+i32-1-11−i32
χ2333−3+3i32−3−3i32300033−3−3i32−3+3i32−3−3i32−3+3i32000−3+3i32−3−3i320000003−3+3i32−3−3i3230000000000000000001−1+i32−1−i32−1−i32−1+i321−1+i32−1−i321
χ2433−3+3i32−3−3i32300033−3−3i32−3+3i32−3−3i32−3+3i32000−3+3i32−3−3i320000003−3+3i32−3−3i323000000000000000000-11−i321+i321+i321−i32-11−i321+i32-1
χ2533−3−3i32−3+3i323000333333000−3−3i32−3+3i32000000−3−3i32−3+3i32−3−3i32−3+3i320000000000000000001−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ2633−3−3i32−3+3i323000333333000−3−3i32−3+3i32000000−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000-11+i321−i32-1-11+i321−i321+i321−i32
χ2733−3−3i32−3+3i32300033−3+3i32−3−3i32−3+3i32−3−3i32000−3−3i32−3+3i320000003−3−3i32−3+3i3230000000000000000001−1−i32−1+i32−1+i32−1−i321−1−i32−1+i321
χ2833−3−3i32−3+3i32300033−3+3i32−3−3i32−3+3i32−3−3i32000−3−3i32−3+3i320000003−3−3i32−3+3i323000000000000000000-11+i321−i321−i321+i32-11+i321−i32-1
χ2933−3−3i32−3+3i32300033−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i32000000−3+3i3233−3−3i320000000000000000001−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32
χ3033−3−3i32−3+3i32300033−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i32000000−3+3i3233−3−3i32000000000000000000-11+i321−i321+i321−i321−i32-1-11+i32
χ316666-1666-1-10000666-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1000000000000000
χ326666-1666-1-10000-3-3-3-1-1-1-1-1-1-1-100000000001−2121+2121−2121+2121−2121+212000000000000000
χ336666-1666-1-10000-3-3-3-1-1-1-1-1-1-1-100000000001+2121−2121+2121−2121+2121−212000000000000000
χ346666-1-3-3-3-1-100006-3-3-1-11−2121−2121−2121+2121+2121+2120000000000-1-11−2121+2121+2121−212000000000000000
χ356666-1-3-3-3-1-100006-3-3-1-11+2121+2121+2121−2121−2121−2120000000000-1-11+2121−2121−2121+212000000000000000
χ366666-1-3-3-3-1-10000-36-3-1-11−2121−2121−2121+2121+2121+21200000000001+2121−212-1-11−2121+212000000000000000
χ376666-1-3-3-3-1-10000-36-3-1-11+2121+2121+2121−2121−2121−21200000000001−2121+212-1-11+2121−212000000000000000
χ386666-1-3-3-3-1-10000-3-36-1-11−2121−2121−2121+2121+2121+21200000000001−2121+2121+2121−212-1-1000000000000000
χ396666-1-3-3-3-1-10000-3-36-1-11+2121+2121+2121−2121−2121−21200000000001+2121−2121−2121+212-1-1000000000000000
χ406-3006ζ4+2ζ5+ζ8+ζ13−ζ16+ζ17+ζ22+2ζ23−ζ25+ζ26+ζ31+2ζ32−ζ34+ζ40+2ζ41−ζ43+ζ44+2ζ50−ζ52+ζ53+ζ58+2ζ59−ζ61+ζ62ζ4−ζ5−2ζ8+ζ13+2ζ16−2ζ17+ζ22−ζ23+2ζ25−2ζ26+ζ31−ζ32+2ζ34+ζ40−ζ41+2ζ43−2ζ44−ζ50+2ζ52−2ζ53+ζ58−ζ59+2ζ61−2ζ62−2ζ4−ζ5+ζ8−2ζ13−ζ16+ζ17−2ζ22−ζ23−ζ25+ζ26−2ζ31−ζ32−ζ34−2ζ40−ζ41−ζ43+ζ44−ζ50−ζ52+ζ53−2ζ58−ζ59−ζ61+ζ62-3-366-3-300000ζ4+2ζ5+ζ8+ζ13−ζ16+ζ17+ζ22+2ζ23−ζ25+ζ26+ζ31+2ζ32−ζ34+ζ40+2ζ41−ζ43+ζ44+2ζ50−ζ52+ζ53+ζ58+2ζ59−ζ61+ζ62ζ4−ζ5−2ζ8+ζ13+2ζ16−2ζ17+ζ22−ζ23+2ζ25−2ζ26+ζ31−ζ32+2ζ34+ζ40−ζ41+2ζ43−2ζ44−ζ50+2ζ52−2ζ53+ζ58−ζ59+2ζ61−2ζ62−2ζ4−ζ5+ζ8−2ζ13−ζ16+ζ17−2ζ22−ζ23−ζ25+ζ26−2ζ31−ζ32−ζ34−2ζ40−ζ41−ζ43+ζ44−ζ50−ζ52+ζ53−2ζ58−ζ59−ζ61+ζ62ζ4+2ζ5+ζ8+ζ13−ζ16+ζ17+ζ22+2ζ23−ζ25+ζ26+ζ31+2ζ32−ζ34+ζ40+2ζ41−ζ43+ζ44+2ζ50−ζ52+ζ53+ζ58+2ζ59−ζ61+ζ62ζ4−ζ5−2ζ8+ζ13+2ζ16−2ζ17+ζ22−ζ23+2ζ25−2ζ26+ζ31−ζ32+2ζ34+ζ40−ζ41+2ζ43−2ζ44−ζ50+2ζ52−2ζ53+ζ58−ζ59+2ζ61−2ζ62−2ζ4−ζ5+ζ8−2ζ13−ζ16+ζ17−2ζ22−ζ23−ζ25+ζ26−2ζ31−ζ32−ζ34−2ζ40−ζ41−ζ43+ζ44−ζ50−ζ52+ζ53−2ζ58−ζ59−ζ61+ζ620000ζ4+2ζ5+ζ8+ζ13−ζ16+ζ17+ζ22+2ζ23−ζ25+ζ26+ζ31+2ζ32−ζ34+ζ40+2ζ41−ζ43+ζ44+2ζ50−ζ52+ζ53+ζ58+2ζ59−ζ61+ζ62ζ4−ζ5−2ζ8+ζ13+2ζ16−2ζ17+ζ22−ζ23+2ζ25−2ζ26+ζ31−ζ32+2ζ34+ζ40−ζ41+2ζ43−2ζ44−ζ50+2ζ52−2ζ53+ζ58−ζ59+2ζ61−2ζ62−2ζ4−ζ5+ζ8−2ζ13−ζ16+ζ17−2ζ22−ζ23−ζ25+ζ26−2ζ31−ζ32−ζ34−2ζ40−ζ41−ζ43+ζ44−ζ50−ζ52+ζ53−2ζ58−ζ59−ζ61+ζ62ζ4+2ζ5+ζ8+ζ13−ζ16+ζ17+ζ22+2ζ23−ζ25+ζ26+ζ31+2ζ32−ζ34+ζ40+2ζ41−ζ43+ζ44+2ζ50−ζ52+ζ53+ζ58+2ζ59−ζ61+ζ62ζ4−ζ5−2ζ8+ζ13+2ζ16−2ζ17+ζ22−ζ23+2ζ25−2ζ26+ζ31−ζ32+2ζ34+ζ40−ζ41+2ζ43−2ζ44−ζ50+2ζ52−2ζ53+ζ58−ζ59+2ζ61−2ζ62−2ζ4−ζ5+ζ8−2ζ13−ζ16+ζ17−2ζ22−ζ23−ζ25+ζ26−2ζ31−ζ32−ζ34−2ζ40−ζ41−ζ43+ζ44−ζ50−ζ52+ζ53−2ζ58−ζ59−ζ61+ζ62000000000000000000000
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χ5418-900-33ζ4−3ζ5−6ζ8+3ζ13+6ζ16−6ζ17+3ζ22−3ζ23+6ζ25−6ζ26+3ζ31−3ζ32+6ζ34+3ζ40−3ζ41+6ζ43−6ζ44−3ζ50+6ζ52−6ζ53+3ζ58−3ζ59+6ζ61−6ζ62−6ζ4−3ζ5+3ζ8−6ζ13−3ζ16+3ζ17−6ζ22−3ζ23−3ζ25+3ζ26−6ζ31−3ζ32−3ζ34−6ζ40−3ζ41−3ζ43+3ζ44−3ζ50−3ζ52+3ζ53−6ζ58−3ζ59−3ζ61+3ζ623ζ4+6ζ5+3ζ8+3ζ13−3ζ16+3ζ17+3ζ22+6ζ23−3ζ25+3ζ26+3ζ31+6ζ32−3ζ34+3ζ40+6ζ41−3ζ43+3ζ44+6ζ50−3ζ52+3ζ53+3ζ58+6ζ59−3ζ61+3ζ623+32123−3212000000000−ζ4+ζ5−2ζ16+2ζ17−ζ22−2ζ25+2ζ26+ζ41−2ζ43−ζ58+ζ59+2ζ622ζ4+ζ5+ζ16−ζ17+2ζ22+ζ25−ζ26+ζ41+ζ43+2ζ58+ζ59−ζ62−ζ4−2ζ5+ζ16−ζ17−ζ22+ζ25−ζ26−2ζ41+ζ43−ζ58−2ζ59−ζ622ζ8−ζ13+ζ23−ζ31+ζ32−2ζ34−ζ40+2ζ44+ζ50−2ζ52+2ζ53−2ζ61−ζ8+2ζ13+ζ23+2ζ31+ζ32+ζ34+2ζ40−ζ44+ζ50+ζ52−ζ53+ζ61−ζ8−ζ13−2ζ23−ζ31−2ζ32+ζ34−ζ40−ζ44−2ζ50+ζ52−ζ53+ζ610000000000000000000000000000000
χ5518-900-3−6ζ4−3ζ5+3ζ8−6ζ13−3ζ16+3ζ17−6ζ22−3ζ23−3ζ25+3ζ26−6ζ31−3ζ32−3ζ34−6ζ40−3ζ41−3ζ43+3ζ44−3ζ50−3ζ52+3ζ53−6ζ58−3ζ59−3ζ61+3ζ623ζ4+6ζ5+3ζ8+3ζ13−3ζ16+3ζ17+3ζ22+6ζ23−3ζ25+3ζ26+3ζ31+6ζ32−3ζ34+3ζ40+6ζ41−3ζ43+3ζ44+6ζ50−3ζ52+3ζ53+3ζ58+6ζ59−3ζ61+3ζ623ζ4−3ζ5−6ζ8+3ζ13+6ζ16−6ζ17+3ζ22−3ζ23+6ζ25−6ζ26+3ζ31−3ζ32+6ζ34+3ζ40−3ζ41+6ζ43−6ζ44−3ζ50+6ζ52−6ζ53+3ζ58−3ζ59+6ζ61−6ζ623−32123+3212000000000−ζ8+2ζ13+ζ23+2ζ31+ζ32+ζ34+2ζ40−ζ44+ζ50+ζ52−ζ53+ζ61−ζ8−ζ13−2ζ23−ζ31−2ζ32+ζ34−ζ40−ζ44−2ζ50+ζ52−ζ53+ζ612ζ8−ζ13+ζ23−ζ31+ζ32−2ζ34−ζ40+2ζ44+ζ50−2ζ52+2ζ53−2ζ612ζ4+ζ5+ζ16−ζ17+2ζ22+ζ25−ζ26+ζ41+ζ43+2ζ58+ζ59−ζ62−ζ4−2ζ5+ζ16−ζ17−ζ22+ζ25−ζ26−2ζ41+ζ43−ζ58−2ζ59−ζ62−ζ4+ζ5−2ζ16+2ζ17−ζ22−2ζ25+2ζ26+ζ41−2ζ43−ζ58+ζ59+2ζ620000000000000000000000000000000
χ5618-900-3−6ζ4−3ζ5+3ζ8−6ζ13−3ζ16+3ζ17−6ζ22−3ζ23−3ζ25+3ζ26−6ζ31−3ζ32−3ζ34−6ζ40−3ζ41−3ζ43+3ζ44−3ζ50−3ζ52+3ζ53−6ζ58−3ζ59−3ζ61+3ζ623ζ4+6ζ5+3ζ8+3ζ13−3ζ16+3ζ17+3ζ22+6ζ23−3ζ25+3ζ26+3ζ31+6ζ32−3ζ34+3ζ40+6ζ41−3ζ43+3ζ44+6ζ50−3ζ52+3ζ53+3ζ58+6ζ59−3ζ61+3ζ623ζ4−3ζ5−6ζ8+3ζ13+6ζ16−6ζ17+3ζ22−3ζ23+6ζ25−6ζ26+3ζ31−3ζ32+6ζ34+3ζ40−3ζ41+6ζ43−6ζ44−3ζ50+6ζ52−6ζ53+3ζ58−3ζ59+6ζ61−6ζ623+32123−32120000000002ζ4+ζ5+ζ16−ζ17+2ζ22+ζ25−ζ26+ζ41+ζ43+2ζ58+ζ59−ζ62−ζ4−2ζ5+ζ16−ζ17−ζ22+ζ25−ζ26−2ζ41+ζ43−ζ58−2ζ59−ζ62−ζ4+ζ5−2ζ16+2ζ17−ζ22−2ζ25+2ζ26+ζ41−2ζ43−ζ58+ζ59+2ζ62−ζ8+2ζ13+ζ23+2ζ31+ζ32+ζ34+2ζ40−ζ44+ζ50+ζ52−ζ53+ζ61−ζ8−ζ13−2ζ23−ζ31−2ζ32+ζ34−ζ40−ζ44−2ζ50+ζ52−ζ53+ζ612ζ8−ζ13+ζ23−ζ31+ζ32−2ζ34−ζ40+2ζ44+ζ50−2ζ52+2ζ53−2ζ610000000000000000000000000000000

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