Finite Group Databasebeta

← Group #10589562

Character table — Group #10589562

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111222222222444444444444444444666666888888888888888888121212121212121212161616161616161616161616
order12336648812122424242422666699999918181818181824661212363636363636727272727272727272727272448121212122424181818181818181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3111111111111111111111−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4111111111111111-1-1-1-1-1-1111111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111-1-1-1-1-1-1−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11-1-1-1-1111+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ6111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11-1-1-1-1111−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ71111111-1-111-1-1-1-11-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-1-1111-1-1-1
χ81111111-1-111-1-1-1-11-111-1-1−1−i32−1−i32−1−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+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-1-111-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ91111111-1-111-1-1-1-11-111-1-1−1+i32−1+i32−1+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−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-1-111-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ101111111-1-111-1-1-1-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1111-1-1-1111
χ111111111-1-111-1-1-1-1-11-1-111−1−i32−1−i32−1−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+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11-1-1-111-1-11+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ121111111-1-111-1-1-1-1-11-1-111−1+i32−1+i32−1+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−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11-1-1-111-1-11−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ1311−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ6811−1−i32−1+i32−1−i32−1+i32−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68−ζ4−ζ4−ζ52−ζ52ζ4+ζ52ζ4+ζ52−ζ44−ζ44ζ44+ζ68ζ44+ζ68−ζ68−ζ68111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−ζ4−ζ52ζ4+ζ52−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68−ζ44ζ44+ζ68−ζ68
χ1411−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ6811−1−i32−1+i32−1−i32−1+i32−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68−ζ52−ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ4−ζ68−ζ68−ζ44−ζ44ζ44+ζ68ζ44+ζ68111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−ζ52ζ4+ζ52−ζ4−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68−ζ68−ζ44ζ44+ζ68
χ1511−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ44ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ4411−1−i32−1+i32−1−i32−1+i32ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ44ζ4+ζ52ζ4+ζ52−ζ4−ζ4−ζ52−ζ52ζ44+ζ68ζ44+ζ68−ζ68−ζ68−ζ44−ζ44111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32ζ4+ζ52−ζ4−ζ52ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ44ζ44+ζ68−ζ68−ζ44
χ1611−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ6811−1−i32−1+i32−1−i32−1+i32−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68−ζ4−ζ4−ζ52−ζ52ζ4+ζ52ζ4+ζ52−ζ44−ζ44ζ44+ζ68ζ44+ζ68−ζ68−ζ68-1-111+i321−i321+i321−i32−1−i32−1+i32ζ4ζ52−ζ4−ζ52ζ4ζ52−ζ4−ζ52ζ44−ζ44−ζ68ζ68ζ44−ζ44−ζ68ζ68
χ1711−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ6811−1−i32−1+i32−1−i32−1+i32−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68−ζ52−ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ4−ζ68−ζ68−ζ44−ζ44ζ44+ζ68ζ44+ζ68-1-111+i321−i321+i321−i32−1−i32−1+i32ζ52−ζ4−ζ52ζ4ζ52−ζ4−ζ52ζ4ζ68ζ44−ζ44−ζ68ζ68ζ44−ζ44−ζ68
χ1811−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ44ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ4411−1−i32−1+i32−1−i32−1+i32ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ44ζ4+ζ52ζ4+ζ52−ζ4−ζ4−ζ52−ζ52ζ44+ζ68ζ44+ζ68−ζ68−ζ68−ζ44−ζ44-1-111+i321−i321+i321−i32−1−i32−1+i32−ζ4−ζ52ζ4ζ52−ζ4−ζ52ζ4ζ52−ζ44−ζ68ζ68ζ44−ζ44−ζ68ζ68ζ44
χ1911−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i321-1−1−i32−1+i321+i321−i32−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ6811−1−i32−1+i32−1−i32−1+i32−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68ζ4ζ4ζ52ζ52−ζ4−ζ52−ζ4−ζ52ζ44ζ44−ζ44−ζ68−ζ44−ζ68ζ68ζ681-1-1−1−i32−1+i321+i321−i321+i321−i32−ζ4−ζ52ζ4+ζ52ζ4ζ52−ζ4−ζ52−ζ44ζ44+ζ68−ζ68ζ44−ζ44−ζ68ζ68
χ2011−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i321-1−1−i32−1+i321+i321−i32−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ6811−1−i32−1+i32−1−i32−1+i32−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68ζ52ζ52−ζ4−ζ52−ζ4−ζ52ζ4ζ4ζ68ζ68ζ44ζ44−ζ44−ζ68−ζ44−ζ681-1-1−1−i32−1+i321+i321−i321+i321−i32−ζ52ζ4+ζ52−ζ4ζ52−ζ4−ζ52ζ4−ζ68−ζ44ζ44+ζ68ζ68ζ44−ζ44−ζ68
χ2111−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i321-1−1−i32−1+i321+i321−i32ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ44ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ4411−1−i32−1+i32−1−i32−1+i32ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ44−ζ4−ζ52−ζ4−ζ52ζ4ζ4ζ52ζ52−ζ44−ζ68−ζ44−ζ68ζ68ζ68ζ44ζ441-1-1−1−i32−1+i321+i321−i321+i321−i32ζ4+ζ52−ζ4−ζ52−ζ4−ζ52ζ4ζ52ζ44+ζ68−ζ68−ζ44−ζ44−ζ68ζ68ζ44
χ2211−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i32-111+i321−i32−1−i32−1+i32−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ6811−1−i32−1+i32−1−i32−1+i32−ζ4−ζ52ζ4+ζ52−ζ44ζ44+ζ68−ζ68ζ4ζ4ζ52ζ52−ζ4−ζ52−ζ4−ζ52ζ44ζ44−ζ44−ζ68−ζ44−ζ68ζ68ζ68-11-11+i321−i32−1−i32−1+i321+i321−i32ζ4ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ44−ζ44−ζ68ζ68−ζ44ζ44+ζ68−ζ68
χ2311−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i32-111+i321−i32−1−i32−1+i32−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ6811−1−i32−1+i32−1−i32−1+i32−ζ52ζ4+ζ52−ζ4−ζ68−ζ44ζ44+ζ68ζ52ζ52−ζ4−ζ52−ζ4−ζ52ζ4ζ4ζ68ζ68ζ44ζ44−ζ44−ζ68−ζ44−ζ68-11-11+i321−i32−1−i32−1+i321+i321−i32ζ52−ζ4−ζ52ζ4−ζ52ζ4+ζ52−ζ4ζ68ζ44−ζ44−ζ68−ζ68−ζ44ζ44+ζ68
χ2411−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321+i321−i321−i32-111+i321−i32−1−i32−1+i32ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ44ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ4411−1−i32−1+i32−1−i32−1+i32ζ4+ζ52−ζ4−ζ52ζ44+ζ68−ζ68−ζ44−ζ4−ζ52−ζ4−ζ52ζ4ζ4ζ52ζ52−ζ44−ζ68−ζ44−ζ68ζ68ζ68ζ44ζ44-11-11+i321−i32−1−i32−1+i321+i321−i32−ζ4−ζ52ζ4ζ52ζ4+ζ52−ζ4−ζ52−ζ44−ζ68ζ68ζ44ζ44+ζ68−ζ68−ζ44
χ2511−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ52−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ5211−1+i32−1−i32−1+i32−1−i32−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ52−ζ44−ζ44−ζ68−ζ68ζ44+ζ68ζ44+ζ68−ζ52−ζ52−ζ4−ζ4ζ4+ζ52ζ4+ζ52111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−ζ44−ζ68ζ44+ζ68−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ52−ζ52−ζ4ζ4+ζ52
χ2611−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ52ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ5211−1+i32−1−i32−1+i32−1−i32ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ52ζ44+ζ68ζ44+ζ68−ζ44−ζ44−ζ68−ζ68−ζ4−ζ4ζ4+ζ52ζ4+ζ52−ζ52−ζ52111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32ζ44+ζ68−ζ44−ζ68ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ52−ζ4ζ4+ζ52−ζ52
χ2711−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ4−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ411−1+i32−1−i32−1+i32−1−i32−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ4−ζ68−ζ68ζ44+ζ68ζ44+ζ68−ζ44−ζ44ζ4+ζ52ζ4+ζ52−ζ52−ζ52−ζ4−ζ4111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−ζ68ζ44+ζ68−ζ44−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ4ζ4+ζ52−ζ52−ζ4
χ2811−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ52−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ5211−1+i32−1−i32−1+i32−1−i32−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ52−ζ44−ζ44−ζ68−ζ68ζ44+ζ68ζ44+ζ68−ζ52−ζ52−ζ4−ζ4ζ4+ζ52ζ4+ζ52-1-111−i321+i321−i321+i32−1+i32−1−i32ζ44ζ68−ζ44−ζ68ζ44ζ68−ζ44−ζ68ζ52ζ4−ζ4−ζ52ζ52ζ4−ζ4−ζ52
χ2911−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ52ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ5211−1+i32−1−i32−1+i32−1−i32ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ52ζ44+ζ68ζ44+ζ68−ζ44−ζ44−ζ68−ζ68−ζ4−ζ4ζ4+ζ52ζ4+ζ52−ζ52−ζ52-1-111−i321+i321−i321+i32−1+i32−1−i32−ζ44−ζ68ζ44ζ68−ζ44−ζ68ζ44ζ68ζ4−ζ4−ζ52ζ52ζ4−ζ4−ζ52ζ52
χ3011−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ4−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ411−1+i32−1−i32−1+i32−1−i32−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ4−ζ68−ζ68ζ44+ζ68ζ44+ζ68−ζ44−ζ44ζ4+ζ52ζ4+ζ52−ζ52−ζ52−ζ4−ζ4-1-111−i321+i321−i321+i32−1+i32−1−i32ζ68−ζ44−ζ68ζ44ζ68−ζ44−ζ68ζ44−ζ4−ζ52ζ52ζ4−ζ4−ζ52ζ52ζ4
χ3111−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i321-1−1+i32−1−i321−i321+i32−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ52−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ5211−1+i32−1−i32−1+i32−1−i32−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ52ζ44ζ44ζ68ζ68−ζ44−ζ68−ζ44−ζ68ζ52ζ52ζ4ζ4−ζ4−ζ52−ζ4−ζ521-1-1−1+i32−1−i321−i321+i321−i321+i32−ζ44−ζ68ζ44+ζ68ζ44ζ68−ζ44−ζ68−ζ52−ζ4ζ4+ζ52ζ52ζ4−ζ4−ζ52
χ3211−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i321-1−1+i32−1−i321−i321+i32ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ52ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ5211−1+i32−1−i32−1+i32−1−i32ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ52−ζ44−ζ68−ζ44−ζ68ζ44ζ44ζ68ζ68ζ4ζ4−ζ4−ζ52−ζ4−ζ52ζ52ζ521-1-1−1+i32−1−i321−i321+i321−i321+i32ζ44+ζ68−ζ44−ζ68−ζ44−ζ68ζ44ζ68−ζ4ζ4+ζ52−ζ52ζ4−ζ4−ζ52ζ52
χ3311−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i321-1−1+i32−1−i321−i321+i32−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ4−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ411−1+i32−1−i32−1+i32−1−i32−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ4ζ68ζ68−ζ44−ζ68−ζ44−ζ68ζ44ζ44−ζ4−ζ52−ζ4−ζ52ζ52ζ52ζ4ζ41-1-1−1+i32−1−i321−i321+i321−i321+i32−ζ68ζ44+ζ68−ζ44ζ68−ζ44−ζ68ζ44ζ4+ζ52−ζ52−ζ4−ζ4−ζ52ζ52ζ4
χ3411−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i32-111−i321+i32−1+i32−1−i32−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ52−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ5211−1+i32−1−i32−1+i32−1−i32−ζ44−ζ68ζ44+ζ68−ζ52−ζ4ζ4+ζ52ζ44ζ44ζ68ζ68−ζ44−ζ68−ζ44−ζ68ζ52ζ52ζ4ζ4−ζ4−ζ52−ζ4−ζ52-11-11−i321+i32−1+i32−1−i321−i321+i32ζ44ζ68−ζ44−ζ68−ζ44−ζ68ζ44+ζ68ζ52ζ4−ζ4−ζ52−ζ52−ζ4ζ4+ζ52
χ3511−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i32-111−i321+i32−1+i32−1−i32ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ52ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ5211−1+i32−1−i32−1+i32−1−i32ζ44+ζ68−ζ44−ζ68−ζ4ζ4+ζ52−ζ52−ζ44−ζ68−ζ44−ζ68ζ44ζ44ζ68ζ68ζ4ζ4−ζ4−ζ52−ζ4−ζ52ζ52ζ52-11-11−i321+i32−1+i32−1−i321−i321+i32−ζ44−ζ68ζ44ζ68ζ44+ζ68−ζ44−ζ68ζ4−ζ4−ζ52ζ52−ζ4ζ4+ζ52−ζ52
χ3611−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321−i321+i321+i32-111−i321+i32−1+i32−1−i32−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ4−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ411−1+i32−1−i32−1+i32−1−i32−ζ68ζ44+ζ68−ζ44ζ4+ζ52−ζ52−ζ4ζ68ζ68−ζ44−ζ68−ζ44−ζ68ζ44ζ44−ζ4−ζ52−ζ4−ζ52ζ52ζ52ζ4ζ4-11-11−i321+i32−1+i32−1−i321−i321+i32ζ68−ζ44−ζ68ζ44−ζ68ζ44+ζ68−ζ44−ζ4−ζ52ζ52ζ4ζ4+ζ52−ζ52−ζ4
χ37222222-200-2-20000000000222222222222-22-2-222-2-2-2-2-2-2000000000000000000000000000000000
χ38222222-200-2-20000000000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-22-2-2221+i31+i31+i31−i31−i31−i3000000000000000000000000000000000
χ39222222-200-2-20000000000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-22-2-2221−i31−i31−i31+i31+i31+i3000000000000000000000000000000000
χ4022−1−i3−1+i3−1−i3−1+i3-2001+i31−i30000000000−2ζ4−2ζ522ζ4+2ζ52−2ζ442ζ44+2ζ68−2ζ68−2ζ4−2ζ522ζ4+2ζ52−2ζ442ζ44+2ζ68−2ζ68-221+i31−i3−1−i3−1+i32ζ42ζ52−2ζ4−2ζ522ζ44−2ζ44−2ζ682ζ68000000000000000000000000000000000
χ4122−1−i3−1+i3−1−i3−1+i3-2001+i31−i30000000000−2ζ522ζ4+2ζ52−2ζ4−2ζ68−2ζ442ζ44+2ζ68−2ζ522ζ4+2ζ52−2ζ4−2ζ68−2ζ442ζ44+2ζ68-221+i31−i3−1−i3−1+i32ζ52−2ζ4−2ζ522ζ42ζ682ζ44−2ζ44−2ζ68000000000000000000000000000000000
χ4222−1−i3−1+i3−1−i3−1+i3-2001+i31−i300000000002ζ4+2ζ52−2ζ4−2ζ522ζ44+2ζ68−2ζ68−2ζ442ζ4+2ζ52−2ζ4−2ζ522ζ44+2ζ68−2ζ68−2ζ44-221+i31−i3−1−i3−1+i3−2ζ4−2ζ522ζ42ζ52−2ζ44−2ζ682ζ682ζ44000000000000000000000000000000000
χ4322−1+i3−1−i3−1+i3−1−i3-2001−i31+i30000000000−2ζ44−2ζ682ζ44+2ζ68−2ζ52−2ζ42ζ4+2ζ52−2ζ44−2ζ682ζ44+2ζ68−2ζ52−2ζ42ζ4+2ζ52-221−i31+i3−1+i3−1−i32ζ442ζ68−2ζ44−2ζ682ζ522ζ4−2ζ4−2ζ52000000000000000000000000000000000
χ4422−1+i3−1−i3−1+i3−1−i3-2001−i31+i300000000002ζ44+2ζ68−2ζ44−2ζ68−2ζ42ζ4+2ζ52−2ζ522ζ44+2ζ68−2ζ44−2ζ68−2ζ42ζ4+2ζ52−2ζ52-221−i31+i3−1+i3−1−i3−2ζ44−2ζ682ζ442ζ682ζ4−2ζ4−2ζ522ζ52000000000000000000000000000000000
χ4522−1+i3−1−i3−1+i3−1−i3-2001−i31+i30000000000−2ζ682ζ44+2ζ68−2ζ442ζ4+2ζ52−2ζ52−2ζ4−2ζ682ζ44+2ζ68−2ζ442ζ4+2ζ52−2ζ52−2ζ4-221−i31+i3−1+i3−1−i32ζ68−2ζ44−2ζ682ζ44−2ζ4−2ζ522ζ522ζ4000000000000000000000000000000000
χ46333333333333333333333000000000000-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1-1-1-1000000000000
χ47333333333333333-3-3-3-3-3-3000000000000-1-1-1-1-1-100000000000000000011-11111-1-1000000000000
χ483333333-3-333-3-3-3-33-333-3-3000000000000-1-1-1-1-1-1000000000000000000-111-1-11111000000000000
χ493333333-3-333-3-3-3-3-33-3-333000000000000-1-1-1-1-1-10000000000000000001-1111-1-111000000000000
χ5033−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32000000000000-1-11+i321−i321+i321−i32000000000000000000-1-1-11+i321−i321+i321−i321+i321−i32000000000000
χ5133−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-3-33+3i323−3i323+3i323−3i32000000000000-1-11+i321−i321+i321−i3200000000000000000011-1−1−i32−1+i32−1−i32−1+i321+i321−i32000000000000
χ5233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i323-3−3−3i32−3+3i323+3i323−3i32000000000000-1-11+i321−i321+i321−i32000000000000000000-1111+i321−i32−1−i32−1+i32−1−i32−1+i32000000000000
χ5333−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i32-333+3i323−3i32−3−3i32−3+3i32000000000000-1-11+i321−i321+i321−i320000000000000000001-11−1−i32−1+i321+i321−i32−1−i32−1+i32000000000000
χ5433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32000000000000-1-11−i321+i321−i321+i32000000000000000000-1-1-11−i321+i321−i321+i321−i321+i32000000000000
χ5533−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-3-33−3i323+3i323−3i323+3i32000000000000-1-11−i321+i321−i321+i3200000000000000000011-1−1+i32−1−i32−1+i32−1−i321−i321+i32000000000000
χ5633−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i323-3−3+3i32−3−3i323−3i323+3i32000000000000-1-11−i321+i321−i321+i32000000000000000000-1111−i321+i32−1+i32−1−i32−1+i32−1−i32000000000000
χ5733−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i32-333−3i323+3i32−3+3i32−3−3i32000000000000-1-11−i321+i321−i321+i320000000000000000001-11−1+i32−1−i321−i321+i32−1+i32−1−i32000000000000
χ584-444-4-4022−220022−2222−22000000-2-2-2-2-2-22222220000000000002−22−22−22−22−22−2000000000000000000000
χ594-444-4-4022−220022−2222−220000001+i31+i31+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000−ζ21+ζ39ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ21+ζ39ζ21−ζ39ζ15−ζ69−ζ15+ζ69ζ15−ζ69−ζ15+ζ69ζ15−ζ69−ζ15+ζ69000000000000000000000
χ604-444-4-4022−220022−2222−220000001−i31−i31−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000ζ15−ζ69−ζ15+ζ69ζ15−ζ69−ζ15+ζ69ζ15−ζ69−ζ15+ζ69−ζ21+ζ39ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ21+ζ39ζ21−ζ39000000000000000000000
χ614-444-4-40−222200−2222−2222000000-2-2-2-2-2-2222222000000000000−22−22−22−22−22−22000000000000000000000
χ624-444-4-40−222200−2222−22220000001+i31+i31+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ21+ζ39−ζ15+ζ69ζ15−ζ69−ζ15+ζ69ζ15−ζ69−ζ15+ζ69ζ15−ζ69000000000000000000000
χ634-444-4-40−222200−2222−22220000001−i31−i31−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000−ζ15+ζ69ζ15−ζ69−ζ15+ζ69ζ15−ζ69−ζ15+ζ69ζ15−ζ69ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ21+ζ39ζ21−ζ39−ζ21+ζ39000000000000000000000
χ644-4−2−2i3−2+2i32+2i32−2i3022−2200−2ζ21+2ζ392ζ21−2ζ392ζ15−2ζ69−2ζ15+2ζ690000002ζ42ζ52−2ζ4−2ζ522ζ44−2ζ44−2ζ682ζ68−2ζ4−2ζ522ζ4+2ζ52−2ζ442ζ44+2ζ68−2ζ68000000000000−ζ13+ζ31ζ13−ζ31ζ7−ζ61−ζ7+ζ61−ζ7+ζ13−ζ31+ζ61ζ7−ζ13+ζ31−ζ61−ζ53+ζ71ζ53−ζ71ζ5−ζ23+ζ53−ζ71−ζ5+ζ23−ζ53+ζ71−ζ5+ζ23ζ5−ζ23000000000000000000000
χ654-4−2−2i3−2+2i32+2i32−2i3022−2200−2ζ21+2ζ392ζ21−2ζ392ζ15−2ζ69−2ζ15+2ζ690000002ζ52−2ζ4−2ζ522ζ42ζ682ζ44−2ζ44−2ζ68−2ζ522ζ4+2ζ52−2ζ4−2ζ68−2ζ442ζ44+2ζ68000000000000ζ7−ζ61−ζ7+ζ61−ζ7+ζ13−ζ31+ζ61ζ7−ζ13+ζ31−ζ61−ζ13+ζ31ζ13−ζ31−ζ5+ζ23ζ5−ζ23−ζ53+ζ71ζ53−ζ71ζ5−ζ23+ζ53−ζ71−ζ5+ζ23−ζ53+ζ71000000000000000000000
χ664-4−2−2i3−2+2i32+2i32−2i3022−2200−2ζ21+2ζ392ζ21−2ζ392ζ15−2ζ69−2ζ15+2ζ69000000−2ζ4−2ζ522ζ42ζ52−2ζ44−2ζ682ζ682ζ442ζ4+2ζ52−2ζ4−2ζ522ζ44+2ζ68−2ζ68−2ζ44000000000000−ζ7+ζ13−ζ31+ζ61ζ7−ζ13+ζ31−ζ61−ζ13+ζ31ζ13−ζ31ζ7−ζ61−ζ7+ζ61ζ5−ζ23+ζ53−ζ71−ζ5+ζ23−ζ53+ζ71−ζ5+ζ23ζ5−ζ23−ζ53+ζ71ζ53−ζ71000000000000000000000
χ674-4−2−2i3−2+2i32+2i32−2i30−2222002ζ21−2ζ39−2ζ21+2ζ39−2ζ15+2ζ692ζ15−2ζ690000002ζ42ζ52−2ζ4−2ζ522ζ44−2ζ44−2ζ682ζ68−2ζ4−2ζ522ζ4+2ζ52−2ζ442ζ44+2ζ68−2ζ68000000000000ζ13−ζ31−ζ13+ζ31−ζ7+ζ61ζ7−ζ61ζ7−ζ13+ζ31−ζ61−ζ7+ζ13−ζ31+ζ61ζ53−ζ71−ζ53+ζ71−ζ5+ζ23−ζ53+ζ71ζ5−ζ23+ζ53−ζ71ζ5−ζ23−ζ5+ζ23000000000000000000000
χ684-4−2−2i3−2+2i32+2i32−2i30−2222002ζ21−2ζ39−2ζ21+2ζ39−2ζ15+2ζ692ζ15−2ζ690000002ζ52−2ζ4−2ζ522ζ42ζ682ζ44−2ζ44−2ζ68−2ζ522ζ4+2ζ52−2ζ4−2ζ68−2ζ442ζ44+2ζ68000000000000−ζ7+ζ61ζ7−ζ61ζ7−ζ13+ζ31−ζ61−ζ7+ζ13−ζ31+ζ61ζ13−ζ31−ζ13+ζ31ζ5−ζ23−ζ5+ζ23ζ53−ζ71−ζ53+ζ71−ζ5+ζ23−ζ53+ζ71ζ5−ζ23+ζ53−ζ71000000000000000000000
χ694-4−2−2i3−2+2i32+2i32−2i30−2222002ζ21−2ζ39−2ζ21+2ζ39−2ζ15+2ζ692ζ15−2ζ69000000−2ζ4−2ζ522ζ42ζ52−2ζ44−2ζ682ζ682ζ442ζ4+2ζ52−2ζ4−2ζ522ζ44+2ζ68−2ζ68−2ζ44000000000000ζ7−ζ13+ζ31−ζ61−ζ7+ζ13−ζ31+ζ61ζ13−ζ31−ζ13+ζ31−ζ7+ζ61ζ7−ζ61−ζ5+ζ23−ζ53+ζ71ζ5−ζ23+ζ53−ζ71ζ5−ζ23−ζ5+ζ23ζ53−ζ71−ζ53+ζ71000000000000000000000
χ704-4−2+2i3−2−2i32−2i32+2i3022−22002ζ15−2ζ69−2ζ15+2ζ69−2ζ21+2ζ392ζ21−2ζ390000002ζ442ζ68−2ζ44−2ζ682ζ522ζ4−2ζ4−2ζ52−2ζ44−2ζ682ζ44+2ζ68−2ζ52−2ζ42ζ4+2ζ52000000000000−ζ53+ζ71ζ53−ζ71−ζ5+ζ23ζ5−ζ23ζ5−ζ23+ζ53−ζ71−ζ5+ζ23−ζ53+ζ71ζ7−ζ61−ζ7+ζ61−ζ13+ζ31ζ13−ζ31−ζ7+ζ13−ζ31+ζ61ζ7−ζ13+ζ31−ζ61000000000000000000000
χ714-4−2+2i3−2−2i32−2i32+2i3022−22002ζ15−2ζ69−2ζ15+2ζ69−2ζ21+2ζ392ζ21−2ζ39000000−2ζ44−2ζ682ζ442ζ682ζ4−2ζ4−2ζ522ζ522ζ44+2ζ68−2ζ44−2ζ68−2ζ42ζ4+2ζ52−2ζ52000000000000ζ5−ζ23+ζ53−ζ71−ζ5+ζ23−ζ53+ζ71−ζ53+ζ71ζ53−ζ71−ζ5+ζ23ζ5−ζ23−ζ13+ζ31ζ13−ζ31−ζ7+ζ13−ζ31+ζ61ζ7−ζ13+ζ31−ζ61ζ7−ζ61−ζ7+ζ61000000000000000000000
χ724-4−2+2i3−2−2i32−2i32+2i3022−22002ζ15−2ζ69−2ζ15+2ζ69−2ζ21+2ζ392ζ21−2ζ390000002ζ68−2ζ44−2ζ682ζ44−2ζ4−2ζ522ζ522ζ4−2ζ682ζ44+2ζ68−2ζ442ζ4+2ζ52−2ζ52−2ζ4000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23+ζ53−ζ71−ζ5+ζ23−ζ53+ζ71−ζ53+ζ71ζ53−ζ71−ζ7+ζ13−ζ31+ζ61ζ7−ζ13+ζ31−ζ61ζ7−ζ61−ζ7+ζ61−ζ13+ζ31ζ13−ζ31000000000000000000000
χ734-4−2+2i3−2−2i32−2i32+2i30−222200−2ζ15+2ζ692ζ15−2ζ692ζ21−2ζ39−2ζ21+2ζ390000002ζ442ζ68−2ζ44−2ζ682ζ522ζ4−2ζ4−2ζ52−2ζ44−2ζ682ζ44+2ζ68−2ζ52−2ζ42ζ4+2ζ52000000000000ζ53−ζ71−ζ53+ζ71ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ53+ζ71ζ5−ζ23+ζ53−ζ71−ζ7+ζ61ζ7−ζ61ζ13−ζ31−ζ13+ζ31ζ7−ζ13+ζ31−ζ61−ζ7+ζ13−ζ31+ζ61000000000000000000000
χ744-4−2+2i3−2−2i32−2i32+2i30−222200−2ζ15+2ζ692ζ15−2ζ692ζ21−2ζ39−2ζ21+2ζ39000000−2ζ44−2ζ682ζ442ζ682ζ4−2ζ4−2ζ522ζ522ζ44+2ζ68−2ζ44−2ζ68−2ζ42ζ4+2ζ52−2ζ52000000000000−ζ5+ζ23−ζ53+ζ71ζ5−ζ23+ζ53−ζ71ζ53−ζ71−ζ53+ζ71ζ5−ζ23−ζ5+ζ23ζ13−ζ31−ζ13+ζ31ζ7−ζ13+ζ31−ζ61−ζ7+ζ13−ζ31+ζ61−ζ7+ζ61ζ7−ζ61000000000000000000000
χ754-4−2+2i3−2−2i32−2i32+2i30−222200−2ζ15+2ζ692ζ15−2ζ692ζ21−2ζ39−2ζ21+2ζ390000002ζ68−2ζ44−2ζ682ζ44−2ζ4−2ζ522ζ522ζ4−2ζ682ζ44+2ζ68−2ζ442ζ4+2ζ52−2ζ52−2ζ4000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ53+ζ71ζ5−ζ23+ζ53−ζ71ζ53−ζ71−ζ53+ζ71ζ7−ζ13+ζ31−ζ61−ζ7+ζ13−ζ31+ζ61−ζ7+ζ61ζ7−ζ61ζ13−ζ31−ζ13+ζ31000000000000000000000
χ76666666-600-6-600000000000000000000002-222-2-2000000000000000000000000000000000000000
χ7766−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i300000000000000000000002-2−1−i3−1+i31+i31−i3000000000000000000000000000000000000000
χ7866−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i300000000000000000000002-2−1+i3−1−i31−i31+i3000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.