Finite Group Databasebeta

← Group #14319750

Character table — Group #14319750

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444446666666666666666666666666666666688888888888888888888888810101010101010101010101010101010101010101010101012121212121212121212121212121212121212121212121220202020202020202020202030303030303030303030303030303030
order12222222222234444444455666666610101010101010101010101010106666101010101010101012121212121212121515202020202020202020202020202020203030303030303030303030303030444444444444444420202020202020202020202020202020303030303030303060606060606060606060606060606060444444444444444412121212121212122020202020202020202020202020202020202020202020201212121212121212121212122222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ61111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ71111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ81111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ911111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1011111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1111111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1211111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1311111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1411111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ1511111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1611111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ1711-1-1-1-11111-1-1111-1-111-1-1111-111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1
χ1811-1-1-1-11111-1-1111-1-111-1-1111-111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111
χ1911-1-1-1-11111-1-1111-1-111-1-1111-111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111
χ2011-1-1-1-11111-1-1111-1-111-1-1111-111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1
χ2111-1-1-1-11111-1-11-1-111-1-111111-111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiii−i−iii−i−i−i−iii-1-111-1-11111-1-111-1-1
χ2211-1-1-1-11111-1-11-1-111-1-111111-111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iii−i−iiiii−i−i11-1-111-1-1-1-111-1-111
χ2311-1-1-1-11111-1-11-1-111-1-111111-111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−iii−i−i−i−iii11-1-111-1-1-1-111-1-111
χ2411-1-1-1-11111-1-11-1-111-1-111111-111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−iiiii−i−i-1-111-1-11111-1-111-1-1
χ2511-1-1-1-111-1-111111-1-1-1-111111-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i-1-11111-1-111-1-1-1-111
χ2611-1-1-1-111-1-111111-1-1-1-111111-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iii11-1-1-1-111-1-11111-1-1
χ2711-1-1-1-111-1-111111-1-1-1-111111-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i11-1-1-1-111-1-11111-1-1
χ2811-1-1-1-111-1-111111-1-1-1-111111-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iii-1-11111-1-111-1-1-1-111
χ2911-1-1-1-111-1-1111-1-11111-1-1111-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iii−i−iii11-1-1-1-11111-1-1-1-111
χ3011-1-1-1-111-1-1111-1-11111-1-1111-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−iii−i−i-1-11111-1-1-1-11111-1-1
χ3111-1-1-1-111-1-1111-1-11111-1-1111-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iii−i−iii-1-11111-1-1-1-11111-1-1
χ3211-1-1-1-111-1-1111-1-11111-1-1111-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−iii−i−i11-1-1-1-11111-1-1-1-111
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χ2094-4-444-44-44-4-44-2−4i4i4i−4i−4i4i4i−4i−1+5−1−5-2222-2-22−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5-222-2−1+5−1−51−51+51−51+5−1+5−1−52i−2i−2i2i2i−2i−2i2i1−521+522ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000001−521+52−1+52−1−52−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.