Finite Group Databasebeta

← Group #13161500

Character table — Group #13161500

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444449999999918181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636
order12224444333444466666666612121212121212121212121212121212121212123333366666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122222444444446666888888888888888812121212121212121212121224242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111−i−iii−i−iii−i−iii−i−iii-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711-1-111-1-1111i−ii−i11-1-1-1-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-1-111-1-1i−ii−i11-1-11-11-1i−ii−i1-11-1i−ii−i11-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i
χ1811-1-111-1-1111i−ii−i11-1-1-1-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-1-111-1-1i−ii−i11-1-1-11-11−ii−ii-11-11−ii−ii11-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii
χ1911-1-111-1-1111i−ii−i11-1-1-1-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-111-1-111−ii−ii-1-1111-11-1i−ii−i-11-11−ii−ii-1-111−i−iii−i−iii1-11-1i−ii−i-11-11−ii−ii
χ2011-1-111-1-1111i−ii−i11-1-1-1-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-111-1-111−ii−ii-1-111-11-11−ii−ii1-11-1i−ii−i-1-111−i−iii−i−iii-11-11−ii−ii1-11-1i−ii−i
χ2111-1-111-1-1111−ii−ii11-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-111-1-1−ii−ii11-1-11-11-1−ii−ii1-11-1−ii−ii11-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii
χ2211-1-111-1-1111−ii−ii11-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-111-1-1−ii−ii11-1-1-11-11i−ii−i-11-11i−ii−i11-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i
χ2311-1-111-1-1111−ii−ii11-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-111-1-111i−ii−i-1-1111-11-1−ii−ii-11-11i−ii−i-1-111ii−i−iii−i−i1-11-1−ii−ii-11-11i−ii−i
χ2411-1-111-1-1111−ii−ii11-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-111-1-111i−ii−i-1-111-11-11i−ii−i1-11-1−ii−ii-1-111ii−i−iii−i−i-11-11i−ii−i1-11-1−ii−ii
χ2511-1-1-1-111111i−i−ii11-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-1-1-111i−i−ii11-1-1i−i−ii-111-1i−i−ii-111-1-1-111ii−i−i−i−iiii−i−ii-111-1i−i−ii-111-1
χ2611-1-1-1-111111i−i−ii11-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-1-1-111i−i−ii11-1-1−iii−i1-1-11−iii−i1-1-11-1-111ii−i−i−i−iii−iii−i1-1-11−iii−i1-1-11
χ2711-1-1-1-111111i−i−ii11-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-11111-1-1−iii−i-1-111i−i−ii-111-1−iii−i1-1-1111-1-1−i−iiiii−i−ii−i−ii-111-1−iii−i1-1-11
χ2811-1-1-1-111111i−i−ii11-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-11111-1-1−iii−i-1-111−iii−i1-1-11i−i−ii-111-111-1-1−i−iiiii−i−i−iii−i1-1-11i−i−ii-111-1
χ2911-1-1-1-111111−iii−i11-1-1-1-11-1-1-1-111−i−iiiii−i−i-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-1-1-1-111−iii−i11-1-1i−i−ii1-1-11i−i−ii1-1-11-1-111−i−iiiii−i−ii−i−ii1-1-11i−i−ii1-1-11
χ3011-1-1-1-111111−iii−i11-1-1-1-11-1-1-1-111−i−iiiii−i−i-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-1-1-1-111−iii−i11-1-1−iii−i-111-1−iii−i-111-1-1-111−i−iiiii−i−i−iii−i-111-1−iii−i-111-1
χ3111-1-1-1-111111−iii−i11-1-1-1-11-1-1-1-111−i−iiiii−i−i-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-11111-1-1i−i−ii-1-111i−i−ii1-1-11−iii−i-111-111-1-1ii−i−i−i−iiii−i−ii1-1-11−iii−i-111-1
χ3211-1-1-1-111111−iii−i11-1-1-1-11-1-1-1-111−i−iiiii−i−i-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-11111-1-1i−i−ii-1-111−iii−i-111-1i−i−ii1-1-1111-1-1ii−i−i−i−iii−iii−i-111-1i−i−ii1-1-11
χ332222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222222222-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2111100000000000000001111111111110000000000000000
χ352222222222-1-2-2-2-2222222-1-1-1-1-1-1-111111111222222222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-211111111-2-21111111122222222-2-2-2-2-1-1-1-10000000000000000-1-1-1-1111111110000000000000000
χ362222222222-1-2-2-2-2222222-1-1-1-1-1-1-111111111222222222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-211111111-2-211111111-2-2-2-2-2-2-2-22222111100000000000000001111-1-1-1-1-1-1-1-10000000000000000
χ37222222222-1222222-122-1-122222222222222222-1-122-1-1-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-12-12-12-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000000000000000002222222200000000000000000000-1-1-1-1-1-1-1-1
χ38222222222-1222222-122-1-122222222222222222-1-122-1-1-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-12-12-12-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000-2-2-2-2-2-2-2-20000000000000000000011111111
χ39222222222-12-2-2-2-22-122-1-12222222-2-2-2-2-2-2-2-222-1-122-1-1-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-21-21-21-21-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-211111111-2-211111111-2-21111110000000000000000000000002222-2-2-2-200000000000000000000-1-1-1-11111
χ40222222222-12-2-2-2-22-122-1-12222222-2-2-2-2-2-2-2-222-1-122-1-1-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-21-21-21-21-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-211111111-2-211111111-2-2111111000000000000000000000000-2-2-2-22222000000000000000000001111-1-1-1-1
χ4122222222-1222222-12-1-122222222222222222-1-122-1-122-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-12-12-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000000000000002222222200000000000000000000-1-1-1-1-1-1-1-100000000
χ4222222222-1222222-12-1-122222222222222222-1-122-1-122-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-12-12-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000000000000-2-2-2-2-2-2-2-2000000000000000000001111111100000000
χ4322222222-122-2-2-2-2-12-1-1222222222-2-2-2-2-2-2-2-2-1-122-1-122-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-11-21-21-21-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-211111111-2-211111111-2-2111100000000000000002222-2-2-2-200000000000000000000-1-1-1-1111100000000
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χ472222-2-2-2-222-1-2-222222222-1-1-111111111-1-1-1-1-2-2-2-2-2-2-2-22-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22222-2-211111111-2-211111111-2-211111111-2-21111111122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-2-2-2-2-2-222-1-1-1-1000000000000000011111111-1-1-1-10000000000000000
χ482222-2-2-2-222-1-2-222222222-1-1-111111111-1-1-1-1-2-2-2-2-2-2-2-22-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22222-2-211111111-2-211111111-2-211111111-2-21111111122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2222222-2-211110000000000000000-1-1-1-1-1-1-1-111110000000000000000
χ492222-2-2-2-22-1222-2-22-122-1-1222-2-2-2-22222-2-2-2-2-2-211-2-211-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-12-12-1-21-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−i−iii−i−iii
χ502222-2-2-2-22-1222-2-22-122-1-1222-2-2-2-22222-2-2-2-2-2-211-2-211-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-12-12-1-21-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000ii−i−iii−i−i
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χ1884-4-44−4i4i4i−4i-2-240000222-22-2-4-44−4i4i4i−4i000000002i−2i2i−2i−2i2i−2i2i1-2-211-122-1-1-112-22-2-1-11100000000−ii2i−2i2i−2i−i−iiii−i−2i2i−2i2iii−i−i−3i3i0000−3i3i3i−3i3i−3i00003i−3i−3i3i-330000-333-33-300003-3-33000000000000000000000000000000000000000000000000000000000000
χ1894-4-44−4i4i4i−4i-2-2-20000222-22-222-22i−2i−2i2i23−23−2323−2i32i32i3−2i32i−2i2i−2i−2i2i−2i2i111−1−3i32−1+3i32-1-1-11+3i321−3i32-11-11-111+3i321−3i32−1−3i32−1+3i3200000000−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113-3i3−i3i3−i3−3−i323−i323+i32−3+i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000000000000000000000000
χ1904-4-44−4i4i4i−4i-2-2-20000222-22-222-22i−2i−2i2i23−23−2323−2i32i32i3−2i32i−2i2i−2i−2i2i−2i2i111−1+3i32−1−3i32-1-1-11−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i3200000000−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11-33i3−i3i3−i33−i32−3−i32−3+i323+i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000000000000000000000
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χ1924-4-44−4i4i4i−4i-2-2-20000222-22-222-22i−2i−2i2i−232323−232i3−2i3−2i32i32i−2i2i−2i−2i2i−2i2i111−1+3i32−1−3i32-1-1-11−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i3200000000−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113-3−i3i3−i3i3−3+i323+i323−i32−3−i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000000000000000000000000

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