Finite Group Databasebeta

← Group #11721505

Character table — Group #11721505

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111222222222222222222222233333333666666666666666666666666666666666666666666666666666666666666363636363636363636363636
order1244234666888812121212242424242424242433661212121233366666666666121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244666612121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ411111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ511111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ611111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ71111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-1
χ81111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11
χ91111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ101111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ121111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ1311-1-1-111-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ1411-1-1-111-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ1511-1-1-111-1-1111-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ1611-1-1-111-1-1111-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ1711-1-1-111-1-1111-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ1811-1-1-111-1-1111-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ1911-1-1-111-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-111-11-1-11-11
χ2011-1-1-111-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-111-1-11-111-11-1
χ2111-1-1-111-1-11-1-111-1-111-1-1-1-11111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ2211-1-1-111-1-11-1-111-1-111-1-1-1-11111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ2311-1-1-111-1-11-1-111-1-111-1-1-1-11111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ2411-1-1-111-1-11-1-111-1-111-1-1-1-11111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ252222222222222222222222222222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ2622222222222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000000000
χ2722222222222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000000000
χ282222222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-111111111-2-21111-2-21111-2-21111-2-21111000000000000
χ292222222222-2-2-2-22222-2-2-2-2-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32111111111+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000000000
χ302222222222-2-2-2-22222-2-2-2-2-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32111111111−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000000000
χ312222-22-2-2-22000022-2-20000000022222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ322222-22-2-2-22000022-2-20000000022222222-1-1-1-2-2111111-1-1-1-1-1-1-1-1-1-2-211111133−3−333−3−30033−3−30033−3−30033−3−30033−3−3000000000000
χ332222-22-2-2-22000022-2-20000000022222222-1-1-1-2-2111111-1-1-1-1-1-1-1-1-1-2-2111111−3−333−3−33300−3−33300−3−33300−3−33300−3−333000000000000
χ342222-22-2-2-22000022-2-200000000−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32−1−i3−1+i31+i31−i3-2-21+i31+i31−i31−i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i31+i31−i3-2-21+i31+i31−i31−i300000000000000000000000000000000000000000000
χ352222-22-2-2-22000022-2-200000000−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32-11+i321−i32-1-11+i321+i321−i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i3233−3−333−3−3002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000000000
χ362222-22-2-2-22000022-2-200000000−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32-11+i321−i32-1-11+i321+i321−i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32−3−333−3−33300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000000000
χ372222-22-2-2-22000022-2-200000000−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32−1+i3−1−i31−i31+i3-2-21−i31−i31+i31+i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i31−i31+i3-2-21−i31−i31+i31+i300000000000000000000000000000000000000000000
χ382222-22-2-2-22000022-2-200000000−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32-11−i321+i32-1-11−i321−i321+i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i3233−3−333−3−300−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000000000
χ392222-22-2-2-22000022-2-200000000−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32-11−i321+i32-1-11−i321−i321+i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32−3−333−3−33300ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000000000000
χ4022-2-222-22220000-2-2-2-2000000002222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ4122-2-222-22220000-2-2-2-2000000002222-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-1111111-2-211111133−3−3−3−3330033−3−300−3−3330033−3−300−3−333000000000000
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χ4422-2-222-22220000-2-2-2-200000000−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i3233−3−3−3−333002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000000000
χ4522-2-222-22220000-2-2-2-200000000−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i32−3−33333−3−300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000000000
χ4622-2-222-22220000-2-2-2-200000000−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i3-2-21−i31−i31+i31+i31−i31+i3-2-21−i31−i31+i31+i300000000000000000000000000000000000000000000
χ4722-2-222-22220000-2-2-2-200000000−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i3233−3−3−3−33300−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000000000000
χ4822-2-222-22220000-2-2-2-200000000−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i32−3−33333−3−300ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000000000
χ4922-2-2-222-2-2222-2-2-2-2222222-2-2-2-22222-2-2-2-2-1-1-1-2-2111111-1-1-111111122-1-1-1-1-1-1-1-1-1-1111122-1-1-1-1-2-2111122-1-1-1-1-2-21111000000000000
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χ572-22i−2i02000-22−2−i2i22i−2i0022−2−2−i2−i2i2i222-2-22i−2i2i−2i-1-1-100i3−i3i3−i3i3−i3111−ii−ii−ii00−33−33−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ582-22i−2i02000-22−2−i2i22i−2i0022−2−2−i2−i2i2i2−1−i3−1+i31+i31−i32ζ22−2ζ222ζ14−2ζ142−1−i3−1+i300000000-21+i31−i32i−2i2ζ22−2ζ222ζ14−2ζ14000000002−22−2−i2i2−i2i2−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.