Finite Group Databasebeta

← Group #13154882

Character table — Group #13154882

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111114444444444444444121212121212121212121212121212121212121212121212181818181818181818181818111111114444444444444444121212121212121212121212121212121212121212121212181818181818181818181818111111114444444444444444121212121212121212121212121212121212121212121212181818181818181818181818
order122244443366666612121212121212124444888812121212121212122424242424242424444488888888366612121212336666661212121212121212121212122424242412121212121212122424242424242424121212122424242424242424366612121212336666661212121212121212121212122424242412121212121212122424242424242424121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i
χ61111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii
χ71111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−i−i−iiiii
χ81111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii11-1-1iiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii11-1-1iiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii11-1-1iiii−i−i−i−i
χ91-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ101-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ111-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ121-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-11-1i−ii−i111-1-1-11-1iii−i−i−ii−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ131-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ141-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ151-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ161-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-11-1−ii−ii111-1-1-11-1−i−i−iiii−ii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ17222222222222222222222222000000000000000000000000-2-2-2-200000000222222222222222222222222000000000000000000000000-2-2-2-200000000222222222222222222222222000000000000000000000000-2-2-2-200000000
χ182222-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-222000000002222-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-222000000002222-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-22200000000
χ1922-2-222-2-222-2-222-2-222-222-2-2-200000000000000000000000000002−22−22−22−222-2-222-2-222-2-222-2-222-222-2-2-200000000000000000000000000002−22−22−22−222-2-222-2-222-2-222-2-222-222-2-2-200000000000000000000000000002−22−22−22−2
χ2022-2-222-2-222-2-222-2-222-222-2-2-20000000000000000000000000000−22−22−22−2222-2-222-2-222-2-222-2-222-222-2-2-20000000000000000000000000000−22−22−22−2222-2-222-2-222-2-222-2-222-222-2-2-20000000000000000000000000000−22−22−22−22
χ2122-2-2-2-22222-2-222-2-2-2-22-2-22220000000000000000000000000000−i2i2−i2i2i2−i2i2−i222-2-2-2-22222-2-222-2-2-2-22-2-22220000000000000000000000000000−i2i2−i2i2i2−i2i2−i222-2-2-2-22222-2-222-2-2-2-22-2-22220000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ2222-2-2-2-22222-2-222-2-2-2-22-2-22220000000000000000000000000000i2−i2i2−i2−i2i2−i2i222-2-2-2-22222-2-222-2-2-2-22-2-22220000000000000000000000000000i2−i2i2−i2−i2i2−i2i222-2-2-2-22222-2-222-2-2-2-22-2-22220000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ232-22-22i−2i2i−2i222-2-2-22-22i2i2i−2i−2i−2i2i−2i000000000000000000000000-22−2i2i000000002-22-22i−2i2i−2i222-2-2-22-22i2i2i−2i−2i−2i2i−2i000000000000000000000000-22−2i2i000000002-22-22i−2i2i−2i222-2-2-22-22i2i2i−2i−2i−2i2i−2i000000000000000000000000-22−2i2i00000000
χ242-22-2−2i2i−2i2i222-2-2-22-2−2i−2i−2i2i2i2i−2i2i000000000000000000000000-222i−2i000000002-22-2−2i2i−2i2i222-2-2-22-2−2i−2i−2i2i2i2i−2i2i000000000000000000000000-222i−2i000000002-22-2−2i2i−2i2i222-2-2-22-2−2i−2i−2i2i2i2i−2i2i000000000000000000000000-222i−2i00000000
χ252-2-222i−2i−2i2i22-22-2-2-222i2i−2i−2i−2i2i−2i2i00000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i2-2-222i−2i−2i2i22-22-2-2-222i2i−2i−2i−2i2i−2i2i00000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i2-2-222i−2i−2i2i22-22-2-2-222i2i−2i−2i−2i2i−2i2i00000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i
χ262-2-222i−2i−2i2i22-22-2-2-222i2i−2i−2i−2i2i−2i2i0000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i2-2-222i−2i−2i2i22-22-2-2-222i2i−2i−2i−2i2i−2i2i0000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i2-2-222i−2i−2i2i22-22-2-2-222i2i−2i−2i−2i2i−2i2i0000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i
χ272-2-22−2i2i2i−2i22-22-2-2-22−2i−2i2i2i2i−2i2i−2i00000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i2-2-22−2i2i2i−2i22-22-2-2-22−2i−2i2i2i2i−2i2i−2i00000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i2-2-22−2i2i2i−2i22-22-2-2-22−2i−2i2i2i2i−2i2i−2i00000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i
χ282-2-22−2i2i2i−2i22-22-2-2-22−2i−2i2i2i2i−2i2i−2i0000000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i2-2-22−2i2i2i−2i22-22-2-2-22−2i−2i2i2i2i−2i2i−2i0000000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i2-2-22−2i2i2i−2i22-22-2-2-22−2i−2i2i2i2i−2i2i−2i0000000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i
χ29444444441-2111-2-2-21-2-21-2-2110000222200000000-1-1-1-1-1-1-1-1000000000000444444441-2111-2-2-21-2-21-2-2110000222200000000-1-1-1-1-1-1-1-1000000000000444444441-2111-2-2-21-2-21-2-2110000222200000000-1-1-1-1-1-1-1-1000000000000
χ30444444441-2111-2-2-21-2-21-2-2110000-2-2-2-20000000011111111000000000000444444441-2111-2-2-21-2-21-2-2110000-2-2-2-20000000011111111000000000000444444441-2111-2-2-21-2-21-2-2110000-2-2-2-20000000011111111000000000000
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χ1221111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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−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+i321−i321−i321−i321−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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ123111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−1−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−i321+i321+i321+i321+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+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−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−i32
χ124111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−1−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+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+i321−i321−i321−i321−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
χ1251111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14
χ1261111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14
χ1271111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−i−i−iiiii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14
χ1281111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii11-1-1iiii−i−i−i−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i32−1−i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i32−1+i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14
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χ1764-4-444i−4i−4i4i-212-22-1-11−2ii−i2i−ii2i−2i00000000−333−3−i3i3i3−i300000000000000000000−2−2i32+2i32+2i3−2−2i34ζ22−4ζ22−4ζ224ζ221+i3−1−i32−1−i31+i3−1−i31+i321+i32−1−i32−2ζ22ζ22−ζ222ζ22−ζ22ζ222ζ22−2ζ2200000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−3+i323−i323−i32−3+i3200000000000000000000−2+2i32−2i32−2i3−2+2i34ζ14−4ζ14−4ζ144ζ141−i3−1+i32−1+i31−i3−1+i31−i321−i32−1+i32−2ζ14ζ14−ζ142ζ14−ζ14ζ142ζ14−2ζ1400000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ223+i32−3−i32−3−i323+i3200000000000000000000
χ1774-4-44−4i4i4i−4i1-2-11-122-2−i2i−2ii−2i2ii−i0000000000000000−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ22−1−i321+i31+i32−1−i321+i32−1−i3−1−i31+i3−ζ222ζ22−2ζ22ζ22−2ζ222ζ22ζ22−ζ220000000000000000−ζ7−2ζ23ζ7+2ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ5−ζ132ζ5+ζ132ζ5+ζ13−2ζ5−ζ13000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ14−1+i321−i31−i32−1+i321−i32−1+i3−1+i31−i3−ζ142ζ14−2ζ14ζ14−2ζ142ζ14ζ14−ζ1400000000000000002ζ7+ζ23−2ζ7−ζ23−2ζ7−ζ232ζ7+ζ23ζ5+2ζ13−ζ5−2ζ13−ζ5−2ζ13ζ5+2ζ13000000000000
χ1784-4-44−4i4i4i−4i1-2-11-122-2−i2i−2ii−2i2ii−i0000000000000000ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ22−1−i321+i31+i32−1−i321+i32−1−i3−1−i31+i3−ζ222ζ22−2ζ22ζ22−2ζ222ζ22ζ22−ζ220000000000000000ζ7+2ζ23−ζ7−2ζ23−ζ7−2ζ23ζ7+2ζ232ζ5+ζ13−2ζ5−ζ13−2ζ5−ζ132ζ5+ζ13000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ14−1+i321−i31−i32−1+i321−i32−1+i3−1+i31−i3−ζ142ζ14−2ζ14ζ14−2ζ142ζ14ζ14−ζ140000000000000000−2ζ7−ζ232ζ7+ζ232ζ7+ζ23−2ζ7−ζ23−ζ5−2ζ13ζ5+2ζ13ζ5+2ζ13−ζ5−2ζ13000000000000
χ1794-4-44−4i4i4i−4i-212-22-1-112i−ii−2ii−i−2i2i000000003−3−33−i3i3i3−i300000000000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ221+i3−1−i32−1−i31+i3−1−i31+i321+i32−1−i322ζ22−ζ22ζ22−2ζ22ζ22−ζ22−2ζ222ζ22000000002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−3+i323−i323−i32−3+i3200000000000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ141−i3−1+i32−1+i31−i3−1+i31−i321−i32−1+i322ζ14−ζ14ζ14−2ζ14ζ14−ζ14−2ζ142ζ1400000000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ223+i32−3−i32−3−i323+i3200000000000000000000
χ1804-4-44−4i4i4i−4i-212-22-1-112i−ii−2ii−i−2i2i00000000−333−3i3−i3−i3i300000000000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ221+i3−1−i32−1−i31+i3−1−i31+i321+i32−1−i322ζ22−ζ22ζ22−2ζ22ζ22−ζ22−2ζ222ζ2200000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ223−i32−3+i32−3+i323−i3200000000000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ141−i3−1+i32−1+i31−i3−1+i31−i321−i32−1+i322ζ14−ζ14ζ14−2ζ14ζ14−ζ14−2ζ142ζ1400000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−3−i323+i323+i32−3−i3200000000000000000000

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