Finite Group Databasebeta

← Group #72268946

Character table — Group #72268946

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888121212121212121224242424242424242424242424242424242424242424242424242424242424242727272736363636363636365454545454547272727272727272108108108108
order1222333334444446666666666666662233334466666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212122244888866666666121212121212121224242424242424242424242424242424222222448888444444661212242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111-1-11111-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-11111-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-11111-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111-1-11111-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9111111111-1-1-1-111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-111
χ11111111111-1-1-1-111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1
χ12111111111-1-1-1-111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111
χ13111111111-1-1-1-111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ14111111111-1-1-1-111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ15111111111-1-1-1-111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111
χ16111111111-1-1-1-111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ1711-1-111111i−ii−i1-111111-1-1-1-1-1-1-1-1-1-11-11111i−i1111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11-11111-1-1-1-11-111111111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-11-1i−i1-1i−i1-1i−ii−i1-1i−i1-1i−i1-1i−i
χ1811-1-111111i−ii−i1-111111-1-1-1-1-1-1-1-1-1-11-11111i−i1111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11-11111-1-1-1-11-111111111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1i−i1-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-11−ii-11−ii-11−ii−ii-11−ii-11−ii-11−ii
χ1911-1-111111i−ii−i1-111111-1-1-1-1-1-1-1-1-1-11-11111i−i1111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11-11111-1-1-1-11-111111111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11−ii-11−ii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-1-11−ii-11−ii1-1i−ii−i-11−ii-11−ii1-1i−i
χ2011-1-111111i−ii−i1-111111-1-1-1-1-1-1-1-1-1-11-11111i−i1111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11-11111-1-1-1-11-111111111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11−ii-11−ii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1111-1i−i1-1i−i-11−ii−ii1-1i−i1-1i−i-11−ii
χ2111-1-111111i−ii−i1-111111-1-1-1-1-1-1-1-1-1-1-111111−ii1111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111−i−i−i−i−iiiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1i−i-11−ii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-11-1i−i-11−ii1-1i−ii−i1-1i−i-11−ii-11−ii
χ2211-1-111111i−ii−i1-111111-1-1-1-1-1-1-1-1-1-1-111111−ii1111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111−i−i−i−i−iiiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1i−i-11−ii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111-11−ii1-1i−i-11−ii−ii-11−ii1-1i−i1-1i−i
χ2311-1-111111i−ii−i1-111111-1-1-1-1-1-1-1-1-1-1-111111−ii1111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111−i−i−i−i−iiiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11−ii1-1i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i11-1-1-11−ii1-1i−i1-1i−ii−i-11−ii1-1i−i-11−ii
χ2411-1-111111i−ii−i1-111111-1-1-1-1-1-1-1-1-1-1-111111−ii1111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111−i−i−i−i−iiiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11−ii1-1i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1111-1i−i-11−ii-11−ii−ii1-1i−i-11−ii1-1i−i
χ2511-1-111111−ii−ii1-111111-1-1-1-1-1-1-1-1-1-11-11111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−iiiii−ii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11-11111-1-1-1-11-111111111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-11-1−ii1-1−ii1-1−ii−ii1-1−ii1-1−ii1-1−ii
χ2611-1-111111−ii−ii1-111111-1-1-1-1-1-1-1-1-1-11-11111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−iiiii−ii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11-11111-1-1-1-11-111111111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111-11i−i-11i−i-11i−ii−i-11i−i-11i−i-11i−i
χ2711-1-111111−ii−ii1-111111-1-1-1-1-1-1-1-1-1-11-11111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−iiiii−ii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11-11111-1-1-1-11-111111111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11i−i-11i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1-11i−i-11i−i1-1−ii−ii-11i−i-11i−i1-1−ii
χ2811-1-111111−ii−ii1-111111-1-1-1-1-1-1-1-1-1-11-11111−ii1111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−iiiii−ii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11-11111-1-1-1-11-111111111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11i−i-11i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1111-1−ii1-1−ii-11i−ii−i1-1−ii1-1−ii-11i−i
χ2911-1-111111−ii−ii1-111111-1-1-1-1-1-1-1-1-1-1-111111i−i1111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−iiiii−ii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111iiiii−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1−ii-11i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-11-1−ii-11i−i1-1−ii−ii1-1−ii-11i−i-11i−i
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χ3111-1-111111−ii−ii1-111111-1-1-1-1-1-1-1-1-1-1-111111i−i1111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−iiiii−ii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111iiiii−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-11i−i1-1−ii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii11-1-1-11i−i1-1−ii1-1−ii−ii-11i−i1-1−ii-11i−i
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χ2258-8-888-4-4-4-4000000-844448-4-4-4-4-8444400-4222004-2-2-24-2-2-2-42220000000000000000000000-66-66-66006-66-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ2348-8-88-4-4-48-4000000444-84-4-4-48-4444-8400222-400-2-2-24-2-2-24222-400000000000000000000-66-666-6006-66-6-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).