Finite Group Databasebeta

← Group #11720756

Character table — Group #11720756

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111333333333333333161616161616222666666666666666323232323232333999999999999999484848484848
order1332444466121212121212121299999933361212121266121212121212121299999926624444661212121212121212181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ3111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ41−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34
χ51−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34
χ61−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22
χ71−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14
χ81−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26
χ91−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26
χ103333-1-1-1-133-1-1-1-1-1-1-1-10000003333-1-1-1-133-1-1-1-1-1-1-1-10000003333-1-1-1-133-1-1-1-1-1-1-1-1000000
χ11333-111−1+2i−1−2i-1-111−1+2i−1−2i11−1+2i−1−2i000000333-111−1+2i−1−2i-1-111−1+2i−1−2i11−1+2i−1−2i000000333-111−1+2i−1−2i-1-111−1+2i−1−2i11−1+2i−1−2i000000
χ12333-111−1−2i−1+2i-1-111−1−2i−1+2i11−1−2i−1+2i000000333-111−1−2i−1+2i-1-111−1−2i−1+2i11−1−2i−1+2i000000333-111−1−2i−1+2i-1-111−1−2i−1+2i11−1−2i−1+2i000000
χ13333-1−1+2i−1−2i11-1-1−1+2i−1−2i11−1+2i−1−2i11000000333-1−1+2i−1−2i11-1-1−1+2i−1−2i11−1+2i−1−2i11000000333-1−1+2i−1−2i11-1-1−1+2i−1−2i11−1+2i−1−2i11000000
χ14333-1−1−2i−1+2i11-1-1−1−2i−1+2i11−1−2i−1+2i11000000333-1−1−2i−1+2i11-1-1−1−2i−1+2i11−1−2i−1+2i11000000333-1−1−2i−1+2i11-1-1−1−2i−1+2i11−1−2i−1+2i11000000
χ153−3−3i32−3+3i323-1-1-1-1−3−3i32−3+3i321+i321+i321+i321+i321−i321−i321−i321−i320000003−3−3i32−3+3i323-1-1-1-1−3−3i32−3+3i321+i321+i321+i321+i321−i321−i321−i321−i320000003−3−3i32−3+3i323-1-1-1-1−3−3i32−3+3i321+i321+i321+i321+i321−i321−i321−i321−i32000000
χ163−3−3i32−3+3i32-111−1+2i−1−2i1+i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ300000003−3−3i32−3+3i32-111−1+2i−1−2i1+i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ300000003−3−3i32−3+3i32-111−1+2i−1−2i1+i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000
χ173−3−3i32−3+3i32-111−1−2i−1+2i1+i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ300000003−3−3i32−3+3i32-111−1−2i−1+2i1+i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ300000003−3−3i32−3+3i32-111−1−2i−1+2i1+i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30000000
χ183−3−3i32−3+3i32-1−1+2i−1−2i111+i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i320000003−3−3i32−3+3i32-1−1+2i−1−2i111+i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i320000003−3−3i32−3+3i32-1−1+2i−1−2i111+i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32000000
χ193−3−3i32−3+3i32-1−1−2i−1+2i111+i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i320000003−3−3i32−3+3i32-1−1−2i−1+2i111+i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i320000003−3−3i32−3+3i32-1−1−2i−1+2i111+i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32000000
χ203−3+3i32−3−3i323-1-1-1-1−3+3i32−3−3i321−i321−i321−i321−i321+i321+i321+i321+i320000003−3+3i32−3−3i323-1-1-1-1−3+3i32−3−3i321−i321−i321−i321−i321+i321+i321+i321+i320000003−3+3i32−3−3i323-1-1-1-1−3+3i32−3−3i321−i321−i321−i321−i321+i321+i321+i321+i32000000
χ213−3+3i32−3−3i32-111−1+2i−1−2i1−i321+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ150000003−3+3i32−3−3i32-111−1+2i−1−2i1−i321+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ150000003−3+3i32−3−3i32-111−1+2i−1−2i1−i321+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15000000
χ223−3+3i32−3−3i32-111−1−2i−1+2i1−i321+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ150000003−3+3i32−3−3i32-111−1−2i−1+2i1−i321+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ150000003−3+3i32−3−3i32-111−1−2i−1+2i1−i321+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15000000
χ233−3+3i32−3−3i32-1−1+2i−1−2i111−i321+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i320000003−3+3i32−3−3i32-1−1+2i−1−2i111−i321+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i320000003−3+3i32−3−3i32-1−1+2i−1−2i111−i321+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32000000
χ243−3+3i32−3−3i32-1−1−2i−1+2i111−i321+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i320000003−3+3i32−3−3i32-1−1−2i−1+2i111−i321+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i320000003−3+3i32−3−3i32-1−1−2i−1+2i111−i321+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32000000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32
χ27111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32
χ281−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34-11+i321−i32-1-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34
χ291−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34-11+i321−i32-1-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34
χ301−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22-11+i321−i32-1-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22
χ311−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14-11−i321+i32-1-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14
χ321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26-11−i321+i32-1-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26
χ331−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26-11−i321+i32-1-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26
χ343333-1-1-1-133-1-1-1-1-1-1-1-10000003333-1-1-1-133-1-1-1-1-1-1-1-1000000-3-3-3-31111-3-311111111000000
χ35333-111−1+2i−1−2i-1-111−1+2i−1−2i11−1+2i−1−2i000000333-111−1+2i−1−2i-1-111−1+2i−1−2i11−1+2i−1−2i000000-3-3-31-1-11−2i1+2i11-1-11−2i1+2i-1-11−2i1+2i000000
χ36333-111−1−2i−1+2i-1-111−1−2i−1+2i11−1−2i−1+2i000000333-111−1−2i−1+2i-1-111−1−2i−1+2i11−1−2i−1+2i000000-3-3-31-1-11+2i1−2i11-1-11+2i1−2i-1-11+2i1−2i000000
χ37333-1−1+2i−1−2i11-1-1−1+2i−1−2i11−1+2i−1−2i11000000333-1−1+2i−1−2i11-1-1−1+2i−1−2i11−1+2i−1−2i11000000-3-3-311−2i1+2i-1-1111−2i1+2i-1-11−2i1+2i-1-1000000
χ38333-1−1−2i−1+2i11-1-1−1−2i−1+2i11−1−2i−1+2i11000000333-1−1−2i−1+2i11-1-1−1−2i−1+2i11−1−2i−1+2i11000000-3-3-311+2i1−2i-1-1111+2i1−2i-1-11+2i1−2i-1-1000000
χ393−3−3i32−3+3i323-1-1-1-1−3−3i32−3+3i321+i321+i321+i321+i321−i321−i321−i321−i320000003−3−3i32−3+3i323-1-1-1-1−3−3i32−3+3i321+i321+i321+i321+i321−i321−i321−i321−i32000000-33+3i323−3i32-311113+3i323−3i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000
χ403−3−3i32−3+3i32-111−1+2i−1−2i1+i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ300000003−3−3i32−3+3i32-111−1+2i−1−2i1+i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000-33+3i323−3i321-1-11−2i1+2i−1−i32−1+i321+i321+i32−ζ6+2ζ15−ζ6−2ζ151−i321−i322ζ3−ζ30−2ζ3−ζ30000000
χ413−3−3i32−3+3i32-111−1−2i−1+2i1+i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ300000003−3−3i32−3+3i32-111−1−2i−1+2i1+i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30000000-33+3i323−3i321-1-11+2i1−2i−1−i32−1+i321+i321+i32−ζ6−2ζ15−ζ6+2ζ151−i321−i32−2ζ3−ζ302ζ3−ζ30000000
χ423−3−3i32−3+3i32-1−1+2i−1−2i111+i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i320000003−3−3i32−3+3i32-1−1+2i−1−2i111+i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32000000-33+3i323−3i3211−2i1+2i-1-1−1−i32−1+i32−ζ6+2ζ15−ζ6−2ζ151+i321+i322ζ3−ζ30−2ζ3−ζ301−i321−i32000000
χ433−3−3i32−3+3i32-1−1−2i−1+2i111+i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i320000003−3−3i32−3+3i32-1−1−2i−1+2i111+i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32000000-33+3i323−3i3211+2i1−2i-1-1−1−i32−1+i32−ζ6−2ζ15−ζ6+2ζ151+i321+i32−2ζ3−ζ302ζ3−ζ301−i321−i32000000
χ443−3+3i32−3−3i323-1-1-1-1−3+3i32−3−3i321−i321−i321−i321−i321+i321+i321+i321+i320000003−3+3i32−3−3i323-1-1-1-1−3+3i32−3−3i321−i321−i321−i321−i321+i321+i321+i321+i32000000-33−3i323+3i32-311113−3i323+3i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000
χ453−3+3i32−3−3i32-111−1+2i−1−2i1−i321+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ150000003−3+3i32−3−3i32-111−1+2i−1−2i1−i321+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15000000-33−3i323+3i321-1-11−2i1+2i−1+i32−1−i321−i321−i322ζ3−ζ30−2ζ3−ζ301+i321+i32−ζ6+2ζ15−ζ6−2ζ15000000
χ463−3+3i32−3−3i32-111−1−2i−1+2i1−i321+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ150000003−3+3i32−3−3i32-111−1−2i−1+2i1−i321+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15000000-33−3i323+3i321-1-11+2i1−2i−1+i32−1−i321−i321−i32−2ζ3−ζ302ζ3−ζ301+i321+i32−ζ6−2ζ15−ζ6+2ζ15000000
χ473−3+3i32−3−3i32-1−1+2i−1−2i111−i321+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i320000003−3+3i32−3−3i32-1−1+2i−1−2i111−i321+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32000000-33−3i323+3i3211−2i1+2i-1-1−1+i32−1−i322ζ3−ζ30−2ζ3−ζ301−i321−i32−ζ6+2ζ15−ζ6−2ζ151+i321+i32000000
χ483−3+3i32−3−3i32-1−1−2i−1+2i111−i321+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i320000003−3+3i32−3−3i32-1−1−2i−1+2i111−i321+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32000000-33−3i323+3i3211+2i1−2i-1-1−1+i32−1−i32−2ζ3−ζ302ζ3−ζ301−i321−i32−ζ6−2ζ15−ζ6+2ζ151+i321+i32000000
χ49222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ50222222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000
χ51222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000
χ522−1−i3−1+i322222−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32ζ14+2ζ26−2ζ26−2ζ14−2ζ222ζ22+2ζ34−2ζ34-11+i321−i32-1-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34000000000000000000000000
χ532−1−i3−1+i322222−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−2ζ26−2ζ142ζ14+2ζ26−2ζ34−2ζ222ζ22+2ζ34-11+i321−i32-1-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34000000000000000000000000
χ542−1−i3−1+i322222−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−2ζ142ζ14+2ζ26−2ζ262ζ22+2ζ34−2ζ34−2ζ22-11+i321−i32-1-1-1-1-11+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22000000000000000000000000
χ552−1+i3−1−i322222−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ14-11−i321+i32-1-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14000000000000000000000000
χ562−1+i3−1−i322222−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32ζ22+2ζ34−2ζ22−2ζ342ζ14+2ζ26−2ζ14−2ζ26-11−i321+i32-1-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26000000000000000000000000
χ572−1+i3−1−i322222−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ26-11−i321+i32-1-1-1-1-11−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26000000000000000000000000
χ586666-2-2-2-266-2-2-2-2-2-2-2-2000000-3-3-3-31111-3-311111111000000000000000000000000000000
χ59666-222−2+4i−2−4i-2-222−2+4i−2−4i22−2+4i−2−4i000000-3-3-31-1-11−2i1+2i11-1-11−2i1+2i-1-11−2i1+2i000000000000000000000000000000
χ60666-222−2−4i−2+4i-2-222−2−4i−2+4i22−2−4i−2+4i000000-3-3-31-1-11+2i1−2i11-1-11+2i1−2i-1-11+2i1−2i000000000000000000000000000000
χ61666-2−2+4i−2−4i22-2-2−2+4i−2−4i22−2+4i−2−4i22000000-3-3-311−2i1+2i-1-1111−2i1+2i-1-11−2i1+2i-1-1000000000000000000000000000000
χ62666-2−2−4i−2+4i22-2-2−2−4i−2+4i22−2−4i−2+4i22000000-3-3-311+2i1−2i-1-1111+2i1−2i-1-11+2i1−2i-1-1000000000000000000000000000000
χ636−3−3i3−3+3i36-2-2-2-2−3−3i3−3+3i31+i31+i31+i31+i31−i31−i31−i31−i3000000-33+3i323−3i32-311113+3i323−3i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000000
χ646−3−3i3−3+3i3-222−2+4i−2−4i1+i31−i3−1−i3−1−i32ζ6−4ζ152ζ6+4ζ15−1+i3−1+i3−4ζ3+2ζ304ζ3+2ζ30000000-33+3i323−3i321-1-11−2i1+2i−1−i32−1+i321+i321+i32−ζ6+2ζ15−ζ6−2ζ151−i321−i322ζ3−ζ30−2ζ3−ζ30000000000000000000000000000000
χ656−3−3i3−3+3i3-222−2−4i−2+4i1+i31−i3−1−i3−1−i32ζ6+4ζ152ζ6−4ζ15−1+i3−1+i34ζ3+2ζ30−4ζ3+2ζ30000000-33+3i323−3i321-1-11+2i1−2i−1−i32−1+i321+i321+i32−ζ6−2ζ15−ζ6+2ζ151−i321−i32−2ζ3−ζ302ζ3−ζ30000000000000000000000000000000
χ666−3−3i3−3+3i3-2−2+4i−2−4i221+i31−i32ζ6−4ζ152ζ6+4ζ15−1−i3−1−i3−4ζ3+2ζ304ζ3+2ζ30−1+i3−1+i3000000-33+3i323−3i3211−2i1+2i-1-1−1−i32−1+i32−ζ6+2ζ15−ζ6−2ζ151+i321+i322ζ3−ζ30−2ζ3−ζ301−i321−i32000000000000000000000000000000
χ676−3−3i3−3+3i3-2−2−4i−2+4i221+i31−i32ζ6+4ζ152ζ6−4ζ15−1−i3−1−i34ζ3+2ζ30−4ζ3+2ζ30−1+i3−1+i3000000-33+3i323−3i3211+2i1−2i-1-1−1−i32−1+i32−ζ6−2ζ15−ζ6+2ζ151+i321+i32−2ζ3−ζ302ζ3−ζ301−i321−i32000000000000000000000000000000
χ686−3+3i3−3−3i36-2-2-2-2−3+3i3−3−3i31−i31−i31−i31−i31+i31+i31+i31+i3000000-33−3i323+3i32-311113−3i323+3i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000000000
χ696−3+3i3−3−3i3-222−2+4i−2−4i1−i31+i3−1+i3−1+i3−4ζ3+2ζ304ζ3+2ζ30−1−i3−1−i32ζ6−4ζ152ζ6+4ζ15000000-33−3i323+3i321-1-11−2i1+2i−1+i32−1−i321−i321−i322ζ3−ζ30−2ζ3−ζ301+i321+i32−ζ6+2ζ15−ζ6−2ζ15000000000000000000000000000000
χ706−3+3i3−3−3i3-222−2−4i−2+4i1−i31+i3−1+i3−1+i34ζ3+2ζ30−4ζ3+2ζ30−1−i3−1−i32ζ6+4ζ152ζ6−4ζ15000000-33−3i323+3i321-1-11+2i1−2i−1+i32−1−i321−i321−i32−2ζ3−ζ302ζ3−ζ301+i321+i32−ζ6−2ζ15−ζ6+2ζ15000000000000000000000000000000
χ716−3+3i3−3−3i3-2−2+4i−2−4i221−i31+i3−4ζ3+2ζ304ζ3+2ζ30−1+i3−1+i32ζ6−4ζ152ζ6+4ζ15−1−i3−1−i3000000-33−3i323+3i3211−2i1+2i-1-1−1+i32−1−i322ζ3−ζ30−2ζ3−ζ301−i321−i32−ζ6+2ζ15−ζ6−2ζ151+i321+i32000000000000000000000000000000
χ726−3+3i3−3−3i3-2−2−4i−2+4i221−i31+i34ζ3+2ζ30−4ζ3+2ζ30−1+i3−1+i32ζ6+4ζ152ζ6−4ζ15−1−i3−1−i3000000-33−3i323+3i3211+2i1−2i-1-1−1+i32−1−i32−2ζ3−ζ302ζ3−ζ301−i321−i32−ζ6−2ζ15−ζ6+2ζ151+i321+i32000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.