Finite Group Databasebeta

← Group #13142800

Character table — Group #13142800

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size11112222333333336666666666669999999999991111222233333333666666666666999999999999222244446666666612121212121212121212121218181818181818181818181822224444666666661212121212121212121212121818181818181818181818182222444466666666121212121212121212121212181818181818181818181818
order124436121233661212121299918181836363636363688882424242424242424224466121266661212121218181818181836363636363688882424242424242424444412121212121212121212121236363636363636363636363688882424242424242424444412121212121212121212121236363636363636363636363688882424242424242424444412121212121212121212121236363636363636363636363688882424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ411111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ511111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ611111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ711-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i
χ811-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−iii
χ911-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ1411-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14
χ1011-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ1411-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14
χ1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ2211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22
χ1211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ2211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22
χ131-1i−i1-1i−i11-1-1i−ii−i111-1-1-1i−ii−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i11-1-1i−ii−i111-1-1-1i−ii−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i11-1-1i−ii−i111-1-1-1i−ii−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i11-1-1i−ii−i111-1-1-1i−ii−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i11-1-1i−ii−i111-1-1-1i−ii−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ141-1i−i1-1i−i11-1-1i−ii−i111-1-1-1i−ii−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i11-1-1i−ii−i111-1-1-1i−ii−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i11-1-1i−ii−i111-1-1-1i−ii−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i11-1-1i−ii−i111-1-1-1i−ii−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i11-1-1i−ii−i111-1-1-1i−ii−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ151-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ51-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ51-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ51-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ51-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5
χ161-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ51-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ51-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ51-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ51-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5
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χ551-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ51-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ51-1i−i1-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ141−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5-11−ii-11−ii1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14-11+i321−i321−1−i32−1+i32−ii−ζ22ζ22−ζ14ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5-11−ii-11−ii1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14-11+i321−i321−1−i32−1+i32−ii−ζ22ζ22−ζ14ζ14−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5
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χ571-1i−i1-1i−i−1+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ221−1+i32−1−i32-11−i321+i32i−iζ14−ζ14ζ22−ζ22ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ131-1i−i1-1i−i−1+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ221−1+i32−1−i32-11−i321+i32i−iζ14−ζ14ζ22−ζ22ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ131-1i−i1-1i−i−1+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ221−1+i32−1−i32-11−i321+i32i−iζ14−ζ14ζ22−ζ22ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13-11−ii-11−ii1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22-11−i321+i321−1+i32−1−i32−ii−ζ14ζ14−ζ22ζ22−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13-11−ii-11−ii1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22-11−i321+i321−1+i32−1−i32−ii−ζ14ζ14−ζ22ζ22−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13
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χ652222222222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000
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χ6722222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3200000000000022222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3200000000000022222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32000000000000-2-2-2-2-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i31−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000-2-2-2-2-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i31−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000
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χ1221111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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χ12511111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ12611111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.