Finite Group Databasebeta

← Group #13088633

Character table — Group #13088633

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111144445555555555552222888810101010101010101010101033331212121215151515151515151515151511114444555555555555222288881010101010101010101010103333121212121515151515151515151515151111444455555555555522228888101010101010101010101010333312121212151515151515151515151515
order12445102020224488888888361212153060606612122424242424242424224410102020224488888888361212153060606612122424242424242424361212153060606612122424242424242424661212303060606612122424242424242424361212153060606612122424242424242424361212153060606612122424242424242424661212303060606612122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i
χ411111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii
χ511-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i
χ611-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii
χ711-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ811-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1
χ91-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ101-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ111-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1i−i1-1i−i-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ121-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1i−i1-1i−i-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ131-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ141-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ151-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1−ii1-1−ii-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ161-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1−ii1-1−ii-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ174444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-1000000000000
χ1844-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-111000000000000
χ194-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii000000000000
χ204-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i000000000000
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ2311111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii
χ2411111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i
χ2511-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i-1-111-1-111-1-111−i−iii−i−iii11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i-1-111-1-111-1-111−i−iii−i−iii11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i-1-111-1-111-1-111−i−iii−i−iii
χ2611-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii-1-111-1-111-1-111ii−i−iii−i−i11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii-1-111-1-111-1-111ii−i−iii−i−i11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii-1-111-1-111-1-111ii−i−iii−i−i
χ2711-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1
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χ12811-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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χ1411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ142111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ14311111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14
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χ14711-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ14811-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
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χ17888-8-8-2-222000000000000-4-44411-1-100000000000000000000000000000000−4−4i3−4−4i34+4i34+4i31+i31+i3−1−i3−1−i30000000000002+2i32+2i3−2−2i3−2−2i3−1−i32−1−i321+i321+i3200000000000000000000000000000000−4+4i3−4+4i34−4i34−4i31−i31−i3−1+i3−1+i30000000000002−2i32−2i3−2+2i3−2+2i3−1+i32−1+i321−i321−i3200000000000000000000000000000000
χ1798-88i−8i-22−2i2i000000000000-44−4i4i1-1i−i00000000000000000000000000000000−4−4i34+4i38ζ22−8ζ221+i3−1−i3−2ζ222ζ220000000000002+2i3−2−2i3−4ζ224ζ22−1−i321+i32ζ22−ζ2200000000000000000000000000000000−4+4i34−4i38ζ14−8ζ141−i3−1+i3−2ζ142ζ140000000000002−2i3−2+2i3−4ζ144ζ14−1+i321−i32ζ14−ζ1400000000000000000000000000000000
χ1808-8−8i8i-222i−2i000000000000-444i−4i1-1−ii00000000000000000000000000000000−4−4i34+4i3−8ζ228ζ221+i3−1−i32ζ22−2ζ220000000000002+2i3−2−2i34ζ22−4ζ22−1−i321+i32−ζ22ζ2200000000000000000000000000000000−4+4i34−4i3−8ζ148ζ141−i3−1+i32ζ14−2ζ140000000000002−2i3−2+2i34ζ14−4ζ14−1+i321−i32−ζ14ζ1400000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.