Finite Group Databasebeta

← Group #72231689

Character table — Group #72231689

Order 5760.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222
size11112222222222222222224444444444444455558888888888888888888888888810101010101010101010101010101010101010101010101010101616161616161616161616161616161616161616161616161616181818182020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202036364040404040404040404040404040404040404040404040404545454545454545727272729090909090909090144144180180180180180180
order122233334466666666666622510101012121212121212122222666666661515151520203030303030303030303030304444444444666666666666666610103030303030303030303030303030303060606060606060604444224444121212121212121212121212121212121212121212121212121212121212121212121212121212122266666666121212121212121212121212121212124444444420202020444444441010224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1ii−i−i-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i
χ6111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii-1-111−i−iii
χ7111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii
χ8111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i-1-111ii−i−i
χ91111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ101111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ121111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ131111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111−i−iii
χ141111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111−i−iii-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii-1-1-1-11111−i−iii11-1-1ii−i−i
χ151111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111ii−i−i
χ161111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111ii−i−i-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111111111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-1-1-11111ii−i−i11-1-1−i−iii
χ1711111111-1-11111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111111111-1-111-1-111-1-111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11-11-11-11-1
χ1811111111-1-11111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111111111-1-111-1-111-1-111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11-11-11-11
χ1911111111-1-11111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111111111-1-1-1-111-1-11111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111-11-1-11-11
χ2011111111-1-11111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111111111-1-1-1-111-1-11111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-11-111-11-1
χ2111111111-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11i−i−ii11111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iii1-1-11i−i−ii
χ2211111111-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11i−i−ii11111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−i-111-1−iii−i
χ2311111111-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11−iii−i11111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i1-1-11−iii−i
χ2411111111-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11−iii−i11111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iii-111-1i−i−ii
χ2511111111-1-1111111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111111111-1-111-1-111-1-11111111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-11-11-11-11
χ2611111111-1-1111111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111111111-1-111-1-111-1-11111111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111-11-11-11-1
χ2711111111-1-1111111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111111111-1-1-1-111-1-1111111111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-111-11-1
χ2811111111-1-1111111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111111111-1-1-1-111-1-1111111111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-11-11-1-11-11
χ2911111111-1-1111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-1−iii−i11111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111−i−iii-111-1−iii−i
χ3011111111-1-1111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1−iii−i11111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i1-1-11i−i−ii
χ3111111111-1-1111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-1i−i−ii11111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111ii−i−i-111-1i−i−ii
χ3211111111-1-1111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1i−i−ii11111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iii1-1-11−iii−i
χ3322222-1-1-12222-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-12-1-1-122222222222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000000000000000000000000000
χ3422222-1-1-12222-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-12-1-1-122-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022-2-2-2-222-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111002-1-1-12-1-1-1-2111-2111-2111-21110000000000000000000000000000
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Here i is the imaginary unit (i² = −1).