Finite Group Databasebeta

← Group #13161840

Character table — Group #13161840

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444449999999918181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636
order1222222233344446666666666666666666661212121212121212333336666666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911-11-1-11-111111-1-111111-1-1-1-1-1-1-1-1-1111-1-11-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011-11-1-11-111111-1-111111-1-1-1-1-1-1-1-1-1111-1-11-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i-1-111-1-111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111-11-1-11-111111-1-111111-1-1-1-1-1-1-1-1-1111-1-11-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ1211-11-1-11-111111-1-111111-1-1-1-1-1-1-1-1-1111-1-11-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii-1-111-1-111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ1311-11-1-11-1111-1-11111111-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111iiii−i−i−i−i−i−iii11-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ1411-11-1-11-1111-1-11111111-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111iiii−i−i−i−i−i−iii-1-11111-1-1−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ1511-11-1-11-1111-1-11111111-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−i−i−i−iiiiiii−i−i11-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ1611-11-1-11-1111-1-11111111-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−i−i−i−iiiiiii−i−i-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ171-111-1-1-111111-11-1-1-1-1-1-111111-1-1-1-1111-1-1-1111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i1-11-11-11-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i1-11-11-11-1
χ181-111-1-1-111111-11-1-1-1-1-1-111111-1-1-1-1111-1-1-1111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i−ii−ii−ii−ii-11-11-11-11ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii-11-11-11-11
χ191-111-1-1-111111-11-1-1-1-1-1-111111-1-1-1-1111-1-1-1111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−iii−ii−ii−ii−i-11-11-11-11−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i-11-11-11-11
χ201-111-1-1-111111-11-1-1-1-1-1-111111-1-1-1-1111-1-1-1111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii1-11-11-11-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii1-11-11-11-1
χ211-111-1-1-11111-11-11-1-1-1-1-111111-1-1-1-1111-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111ii−i−iii−i−i−ii−iii−ii−i−ii−ii1-11-1-11-11ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii1-11-1-11-11
χ221-111-1-1-11111-11-11-1-1-1-1-111111-1-1-1-1111-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111ii−i−iii−i−i−ii−ii−ii−iii−ii−i-11-111-11-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i-11-111-11-1
χ231-111-1-1-11111-11-11-1-1-1-1-111111-1-1-1-1111-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−iiii−ii−ii−ii−i−ii−ii-11-111-11-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii-11-111-11-1
χ241-111-1-1-11111-11-11-1-1-1-1-111111-1-1-1-1111-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−iiii−ii−i−ii−iii−ii−i1-11-1-11-11−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i1-11-1-11-11
χ251-1-1111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-11i−i−iii−i−ii−iii−i−iii−i11-1-1-1-11111-1-1-1-111i−i−iii−i−ii−iii−i−iii−i
χ261-1-1111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-11−iii−i−iii−ii−i−iii−i−ii11-1-1-1-11111-1-1-1-111−iii−i−iii−ii−i−iii−i−ii
χ271-1-1111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-111-1i−i−iii−i−iii−i−iii−i−ii-1-11111-1-1-1-11111-1-1i−i−iii−i−iii−i−iii−i−ii
χ281-1-1111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-111-1−iii−i−iii−i−iii−i−iii−i-1-11111-1-1-1-11111-1-1−iii−i−iii−i−iii−i−iii−i
χ291-1-1111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-1i−i−ii−iii−i−iii−ii−i−ii11-1-1-1-111-1-11111-1-1i−i−ii−iii−i−iii−ii−i−ii
χ301-1-1111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-1−iii−ii−i−iii−i−ii−iii−i11-1-1-1-111-1-11111-1-1−iii−ii−i−iii−i−ii−iii−i
χ311-1-1111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11i−i−ii−iii−ii−i−ii−iii−i-1-11111-1-111-1-1-1-111i−i−ii−iii−ii−i−ii−iii−i
χ321-1-1111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11−iii−ii−i−ii−iii−ii−i−ii-1-11111-1-111-1-1-1-111−iii−ii−i−ii−iii−ii−i−ii
χ332222222222-122222222-1222-1-122-1-122-122-12222222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-12-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000022222222000000000000000000000000-1-1-1-1-1-1-1-100000000
χ342222222222-122222222-1222-1-122-1-122-122-12222222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-12-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-20000000000000000000000001111111100000000
χ352222222222-1-2-2-2-22222-1222-1-122-1-122-122-12-2-2-2-2-2-2-2-22-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-21-21-21-21-2-211111111-2-211111111-2-211111111-2-2111111110000000000002222-2-2-2-2000000000000000000000000-1-1-1-1111100000000
χ362222222222-1-2-2-2-22222-1222-1-122-1-122-122-12-2-2-2-2-2-2-2-22-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-21-21-21-21-2-211111111-2-211111111-2-211111111-2-211111111000000000000-2-2-2-222220000000000000000000000001111-1-1-1-100000000
χ37222222222-12222222-1-1222-122-1-1222-12222-122222222-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-12-12-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000000000000022222222000000000000000000000000-1-1-1-1-1-1-1-1
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χ1684-44-4-444-4-2-2-200002-22-22-22-2-222-22-22222-2-2223−23−232323−23−2323111−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32-1-1-11−3i321+3i3200000000−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000000000000000000000
χ1694-44-4-444-4-2-2-200002-22-22-22-2-222-22-22222-2-22−232323−23−232323−23111−1−3i32−1+3i32-11-11-111+3i321−3i32−1−3i32−1+3i321-11-11-1−1−3i32−1+3i321+3i321−3i32-11-11-111+3i321−3i32−1−3i32−1+3i32-1-1-11+3i321−3i32000000003−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000000000000000000000
χ1704-44-4-444-4-2-2-200002-22-22-22-2-222-22-22222-2-22−232323−23−232323−23111−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32-1-1-11−3i321+3i32000000003−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000000000000000000000
χ1714-4-4444-4-44-2-24-4-44-4-4222-4-4222-2-2-2-24-2-2442244-4-4-4-444-2-21112222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111-2-2111-2-22222-2-2-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000000000000000000000
χ1724-4-4444-4-44-2-2-444-4-4-4222-4-4222-2-2-2-24-2-24422-4-44444-4-4-2-21112222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111-2-211122-2-2-2-2222222-1-1-1-1-1-1-2-2-2-2111111-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1734-4-4444-4-4-24-24-4-4422-4-4222-42244-2-2-24-2-2-22-4-2-22222-2-2-21-21122-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111-21-2114-2-42-424-2-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000000000000000000000
χ1744-4-4444-4-4-24-2-444-422-4-4222-42244-2-2-24-2-2-22-422-2-2-2-222-21-21122-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111-21-211-424-24-2-4222-1-122-1-1-1-1-2-211-2-21111-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1754-4-4444-4-4-2-244-4-442222-4222-4-4-2-244-2-24-2-2-42-2-22222-2-21-2-211-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-211111-2-211-242-42-4-2411-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ1764-4-4444-4-4-2-24-444-42222-4222-4-4-2-244-2-24-2-2-4222-2-2-2-2221-2-211-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-211111-2-2112-4-24-242-4-1-12222-1-1-1-111-2-2-2-2111111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1774-4-4444-4-4-2-2-24-4-442222222222-2-2-2-2-2-2-2-2-222-2-22222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-22222-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000000000000000000000
χ1784-4-4444-4-4-2-2-24-4-442222222222-2-2-2-2-2-2-2-2-222-2-22222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-22222-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000000000000000000000
χ1794-4-4444-4-4-2-2-2-444-42222222222-2-2-2-2-2-2-2-2-22222-2-2-2-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222-2-2-2-222-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000000000000000000000
χ1804-4-4444-4-4-2-2-2-444-42222222222-2-2-2-2-2-2-2-2-22222-2-2-2-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222-2-2-2-222-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000000000000000000000
χ1814-4-4-44-44444-20000-44-442-44-42-24-4-22-4-424-4-24000000004-2-2-2-2-442-22-222-2-2-442-22-222-2-24-4-22-22-2-222-42222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1824-4-4-44-4444-240000-442-2-4-442-44-224-4-42-44-44-200000000-24-2-2-22-2-442-222-2-22-2-442-222-2-2-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1834-4-4-44-4444-2-20000-442-22-4422-2-22-22-4224-4-2-200000000-2-21112-22-2-11-1-1112-22-2-11-1-111-22-221-111-1-122-1-1-10000000000003i−3i3i−3i−3i3i0000−3i3i−3i3i3i−3i0000−3i3i−3i3i3i−3i00003i−3i3i−3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1844-4-4-44-4444-2-20000-442-22-4422-2-22-22-4224-4-2-200000000-2-21112-22-2-11-1-1112-22-2-11-1-111-22-221-111-1-122-1-1-1000000000000−3i3i−3i3i3i−3i00003i−3i3i−3i−3i3i00003i−3i3i−3i−3i3i0000−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1854-4-4-44-444-24-200002-2-4422-2-42-24-4-222-42-22-2423−23−2323−232323−23-21-2112-2-112-2-1-1112-2-112-2-1-111-221-1-2211-1-12-12-1-10000000023−23−3300−3−333−23233−30033−3−3−23233−30033−3−323−23−3300−3−333000000000000000000000000000000000000000000000000000000000000
χ1864-4-4-44-444-24-200002-2-4422-2-42-24-4-222-42-22-24−232323−2323−23−2323-21-2112-2-112-2-1-1112-2-112-2-1-111-221-1-2211-1-12-12-1-100000000−23233−30033−3−323−23−3300−3−33323−23−3300−3−333−23233−30033−3−3000000000000000000000000000000000000000000000000000000000000
χ1874-4-4-44-444-2-2400002-22-2-42-22-44-224-422-4-224-223−23−2323−232323−231-2-211-112-22-2-1-111-112-22-2-1-1111-1-22-2211-1-1-122-1-100000000−3323−2300−3−3333−3−23230033−3−33−3−23230033−3−3−3323−2300−3−333000000000000000000000000000000000000000000000000000000000000
χ1884-4-4-44-444-2-2400002-22-2-42-22-44-224-422-4-224-2−232323−2323−23−23231-2-211-112-22-2-1-111-112-22-2-1-1111-1-22-2211-1-1-122-1-1000000003−3−23230033−3−3−3323−2300−3−333−3323−2300−3−3333−3−23230033−3−3000000000000000000000000000000000000000000000000000000000000
χ1894-4-4-44-444-2-2-200002-22-222-222-2-22-22222-22-2-223−23−2323−232323−23111−1−3i32−1+3i32-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-111+3i321−3i32−1−3i32−1+3i321-11-11-1−1−3i32−1+3i321+3i321−3i32-1-1-11+3i321−3i3200000000−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000000000000000000000
χ1904-4-4-44-444-2-2-200002-22-222-222-2-22-22222-22-2-223−23−2323−232323−23111−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32-1-1-11−3i321+3i3200000000−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000000000000000000000
χ1914-4-4-44-444-2-2-200002-22-222-222-2-22-22222-22-2-2−232323−2323−23−2323111−1−3i32−1+3i32-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-111+3i321−3i32−1−3i32−1+3i321-11-11-1−1−3i32−1+3i321+3i321−3i32-1-1-11+3i321−3i32000000003−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000000000000000000000
χ1924-4-4-44-444-2-2-200002-22-222-222-2-22-22222-22-2-2−232323−2323−23−2323111−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32-1-1-11−3i321+3i32000000003−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.