Finite Group Databasebeta

← Group #13161834

Character table — Group #13161834

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444449999999918181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636
order1222222233344446666666666666666666661212121212121212333336666666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ811111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ911-11-1-11-111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1
χ1011-11-1-11-111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111ii−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111
χ1111-11-1-11-111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1
χ1211-11-1-11-111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111
χ1311-11-1-11-1111-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111iiii−i−i−i−i11-1-1ii−i−i-1-111−i−iii−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii-1-111
χ1411-11-1-11-1111-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111iiii−i−i−i−i-1-111−i−iii11-1-1−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i11-1-1
χ1511-11-1-11-1111-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−i−i−i−iiiii11-1-1−i−iii-1-111ii−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iiiii−i−i-1-111
χ1611-11-1-11-1111-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−i−i−i−iiiii-1-111ii−i−i11-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii11-1-1
χ171-111-1-1-11111i−ii−i11-1-1-11111-1-1-1-1-1-1111-1-1-1ii−i−iii−i−i1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii−i−i1-11-1i−ii−ii−ii−i1-11-11-11-1ii−i−iii−i−i11-1-111-1-11-11-1i−ii−i1-11-1i−ii−i
χ181-111-1-1-11111i−ii−i11-1-1-11111-1-1-1-1-1-1111-1-1-1ii−i−iii−i−i1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii−i−i-11-11−ii−ii−ii−ii1-11-1-11-11ii−i−iii−i−i11-1-111-1-1-11-11−ii−ii-11-11−ii−ii
χ191-111-1-1-11111i−ii−i11-1-1-11111-1-1-1-1-1-1111-1-1-1ii−i−iii−i−i1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii1-11-1−ii−iii−ii−i-11-11-11-11−i−iii−i−iii-1-111-1-1111-11-1−ii−ii-11-11i−ii−i
χ201-111-1-1-11111i−ii−i11-1-1-11111-1-1-1-1-1-1111-1-1-1ii−i−iii−i−i1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii-11-11i−ii−i−ii−ii-11-111-11-1−i−iii−i−iii-1-111-1-111-11-11i−ii−i1-11-1−ii−ii
χ211-111-1-1-11111−ii−ii11-1-1-11111-1-1-1-1-1-1111-1-1-1−i−iii−i−iii1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii−i−i1-11-1i−ii−i−ii−ii-11-11-11-11ii−i−iii−i−i-1-111-1-1111-11-1i−ii−i-11-11−ii−ii
χ221-111-1-1-11111−ii−ii11-1-1-11111-1-1-1-1-1-1111-1-1-1−i−iii−i−iii1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii−i−i-11-11−ii−iii−ii−i-11-111-11-1ii−i−iii−i−i-1-111-1-111-11-11−ii−ii1-11-1i−ii−i
χ231-111-1-1-11111−ii−ii11-1-1-11111-1-1-1-1-1-1111-1-1-1−i−iii−i−iii1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−iii1-11-1−ii−ii−ii−ii1-11-11-11-1−i−iii−i−iii11-1-111-1-11-11-1−ii−ii1-11-1−ii−ii
χ241-111-1-1-11111−ii−ii11-1-1-11111-1-1-1-1-1-1111-1-1-1−i−iii−i−iii1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−iii-11-11i−ii−ii−ii−i1-11-1-11-11−i−iii−i−iii11-1-111-1-1-11-11i−ii−i-11-11i−ii−i
χ251-1-1111-1-1111i−i−ii11-1-1-1-1-1-1-11111-1-11-1-111-1ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1i−i−iii−i−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-1-1-1111-1-111-1-11i−i−ii−iii−i−iii−i11-1-1-1-111−i−iiiii−i−i1-1-111-1-11−iii−ii−i−ii
χ261-1-1111-1-1111i−i−ii11-1-1-1-1-1-1-11111-1-11-1-111-1ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1i−i−iii−i−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-1-1-111-111-1-111-1−iii−i−iii−ii−i−ii11-1-1-1-111−i−iiiii−i−i-111-1-111-1i−i−ii−iii−i
χ271-1-1111-1-1111i−i−ii11-1-1-1-1-1-1-11111-1-11-1-111-1ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1i−i−iii−i−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-11111-1-11-1-11-111-1i−i−iii−i−iii−i−ii-1-11111-1-1ii−i−i−i−iii1-1-11-111-1i−i−iii−i−ii
χ281-1-1111-1-1111i−i−ii11-1-1-1-1-1-1-11111-1-11-1-111-1ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1i−i−iii−i−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-11111-1-1-111-11-1-11−iii−ii−i−ii−iii−i-1-11111-1-1ii−i−i−i−iii-111-11-1-11−iii−i−iii−i
χ291-1-1111-1-1111−iii−i11-1-1-1-1-1-1-11111-1-11-1-111-1−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1−iii−i−iii−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-1-1-1-1111-1-111-1-11−iii−ii−i−iii−i−ii11-1-1-1-111ii−i−i−i−iii1-1-111-1-11i−i−ii−iii−i
χ301-1-1111-1-1111−iii−i11-1-1-1-1-1-1-11111-1-11-1-111-1−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1−iii−i−iii−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-1-1-1-111-111-1-111-1i−i−iii−i−ii−iii−i11-1-1-1-111ii−i−i−i−iii-111-1-111-1−iii−ii−i−ii
χ311-1-1111-1-1111−iii−i11-1-1-1-1-1-1-11111-1-11-1-111-1−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1−iii−i−iii−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-11111-1-11-1-11-111-1−iii−i−iii−i−iii−i-1-11111-1-1−i−iiiii−i−i1-1-11-111-1−iii−i−iii−i
χ321-1-1111-1-1111−iii−i11-1-1-1-1-1-1-11111-1-11-1-111-1−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1−iii−i−iii−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-11111-1-1-111-11-1-11i−i−ii−iii−ii−i−ii-1-11111-1-1−i−iiiii−i−i-111-11-1-11i−i−iii−i−ii
χ332222222222-122222222-122-1-122-1-122-12222-1222222222-1-1-1-12-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000222200002222000000000000000000000000-1-1-1-100000000-1-1-1-1
χ342222222222-122222222-122-1-122-1-122-12222-1222222222-1-1-1-12-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2-2-20000000000000000000000001111000000001111
χ352222222222-1-2-2-2-22222-122-1-122-1-122-12222-1-2-2-2-2-2-2-2-22-1-1-1-12-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-21111-2-211111111-2-211111111-2-211111111-2-2111111110000000022220000-2-2-2-2000000000000000000000000-1-1-1-1000000001111
χ362222222222-1-2-2-2-22222-122-1-122-1-122-12222-1-2-2-2-2-2-2-2-22-1-1-1-12-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-21111-2-211111111-2-211111111-2-211111111-2-21111111100000000-2-2-2-200002222000000000000000000000000111100000000-1-1-1-1
χ37222222222-1222222-12-122-1222-1222-122-12-1222222222-12-1-1-1-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000000222200000000222200000000000000000000-1-1-1-1-1-1-1-10000
χ38222222222-1222222-12-122-1222-1222-122-12-1222222222-12-1-1-1-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000000-2-2-2-200000000-2-2-2-200000000000000000000111111110000
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χ1924-4-4-44-444-2-2-2000022222222-22-2-22-2-22-2-2-22-22i3−2i3−2i32i3−2i32i32i3−2i3111−1+3i32−1−3i32-1-1-11−3i321+3i32-1-1-11−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32111−1+3i32−1−3i3200000000−i3i3−i3i33-3−3+i323+i323−i32−3−i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000000000000000000000

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