Finite Group Databasebeta

← Group #36382967

Character table — Group #36382967

Order 22599.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252C253C254C255C256C257C258C259C260C261C262C263C264C265C266C267C268C269C270C271C272C273C274C275C276C277C278C279C280C281C282C283C284C285C286C287C288C289C290C291C292C293C294C295C296C297C298C299C300C301C302C303C304C305C306C307C308C309C310C311C312C313C314C315C316C317C318C319C320C321C322C323C324C325C326C327C328C329C330C331C332C333C334C335C336C337C338C339C340C341C342C343C344C345C346C347C348C349C350C351C352C353C354C355C356C357C358C359C360C361C362C363C364C365C366C367C368C369C370C371C372C373C374C375C376C377C378C379C380C381C382C383C384C385C386C387C388C389C390C391C392C393C394C395C396C397C398C399C400C401C402C403C404C405C406C407C408C409C410C411C412C413C414C415C416C417C418C419C420C421C422C423C424C425C426C427C428C429C430C431C432C433C434C435C436C437C438C439C440C441C442C443C444C445C446C447C448C449C450C451C452C453C454C455
size1113333333333333333333333333333333333333399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727939393939393939393939393939393939393939393939393279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279
order1333333333331313131313131313131939393939393939393939393939393939393939333333399999999999999999993939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393939393932792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792792793333339999999999999999993333333333333333999999999999999999999999999999
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ511111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
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χ45327−27−27i32−27+27i3200000000−9ζ2−9ζ10−9ζ19−9ζ41−9ζ50−9ζ64−9ζ13−9ζ34−9ζ44−9ζ46−9ζ65−9ζ77−9ζ8−9ζ14−9ζ40−9ζ70−9ζ71−9ζ76−9ζ−9ζ5−9ζ25−9ζ32−9ζ56−9ζ67−9ζ16−9ζ28−9ζ47−9ζ49−9ζ59−9ζ80−9ζ29−9ζ43−9ζ52−9ζ74−9ζ83−9ζ91−9ζ17−9ζ22−9ζ23−9ζ53−9ζ79−9ζ85−9ζ11−9ζ55−9ζ58−9ζ73−9ζ86−9ζ89−9ζ26−9ζ37−9ζ61−9ζ68−9ζ88−9ζ92−9ζ4−9ζ7−9ζ20−9ζ35−9ζ38−9ζ829ζ2+9ζ41+9ζ509ζ10+9ζ19+9ζ649ζ44+9ζ65+9ζ779ζ13+9ζ34+9ζ469ζ8+9ζ14+9ζ719ζ40+9ζ70+9ζ769ζ5+9ζ32+9ζ569ζ+9ζ25+9ζ679ζ47+9ζ59+9ζ809ζ16+9ζ28+9ζ499ζ29+9ζ74+9ζ839ζ43+9ζ52+9ζ919ζ17+9ζ23+9ζ539ζ22+9ζ79+9ζ859ζ11+9ζ86+9ζ899ζ55+9ζ58+9ζ739ζ26+9ζ68+9ζ929ζ37+9ζ61+9ζ889ζ20+9ζ35+9ζ389ζ4+9ζ7+9ζ82000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ45427−27−27i32−27+27i3200000000−9ζ16−9ζ28−9ζ47−9ζ49−9ζ59−9ζ80−9ζ11−9ζ55−9ζ58−9ζ73−9ζ86−9ζ89−9ζ2−9ζ10−9ζ19−9ζ41−9ζ50−9ζ64−9ζ8−9ζ14−9ζ40−9ζ70−9ζ71−9ζ76−9ζ4−9ζ7−9ζ20−9ζ35−9ζ38−9ζ82−9ζ13−9ζ34−9ζ44−9ζ46−9ζ65−9ζ77−9ζ29−9ζ43−9ζ52−9ζ74−9ζ83−9ζ91−9ζ26−9ζ37−9ζ61−9ζ68−9ζ88−9ζ92−9ζ17−9ζ22−9ζ23−9ζ53−9ζ79−9ζ85−9ζ−9ζ5−9ζ25−9ζ32−9ζ56−9ζ679ζ47+9ζ59+9ζ809ζ16+9ζ28+9ζ499ζ11+9ζ86+9ζ899ζ55+9ζ58+9ζ739ζ2+9ζ41+9ζ509ζ10+9ζ19+9ζ649ζ8+9ζ14+9ζ719ζ40+9ζ70+9ζ769ζ20+9ζ35+9ζ389ζ4+9ζ7+9ζ829ζ44+9ζ65+9ζ779ζ13+9ζ34+9ζ469ζ29+9ζ74+9ζ839ζ43+9ζ52+9ζ919ζ26+9ζ68+9ζ929ζ37+9ζ61+9ζ889ζ17+9ζ23+9ζ539ζ22+9ζ79+9ζ859ζ5+9ζ32+9ζ569ζ+9ζ25+9ζ67000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ45527−27−27i32−27+27i3200000000−9ζ29−9ζ43−9ζ52−9ζ74−9ζ83−9ζ91−9ζ16−9ζ28−9ζ47−9ζ49−9ζ59−9ζ80−9ζ17−9ζ22−9ζ23−9ζ53−9ζ79−9ζ85−9ζ26−9ζ37−9ζ61−9ζ68−9ζ88−9ζ92−9ζ13−9ζ34−9ζ44−9ζ46−9ζ65−9ζ77−9ζ2−9ζ10−9ζ19−9ζ41−9ζ50−9ζ64−9ζ8−9ζ14−9ζ40−9ζ70−9ζ71−9ζ76−9ζ4−9ζ7−9ζ20−9ζ35−9ζ38−9ζ82−9ζ−9ζ5−9ζ25−9ζ32−9ζ56−9ζ67−9ζ11−9ζ55−9ζ58−9ζ73−9ζ86−9ζ899ζ29+9ζ74+9ζ839ζ43+9ζ52+9ζ919ζ47+9ζ59+9ζ809ζ16+9ζ28+9ζ499ζ17+9ζ23+9ζ539ζ22+9ζ79+9ζ859ζ26+9ζ68+9ζ929ζ37+9ζ61+9ζ889ζ44+9ζ65+9ζ779ζ13+9ζ34+9ζ469ζ2+9ζ41+9ζ509ζ10+9ζ19+9ζ649ζ8+9ζ14+9ζ719ζ40+9ζ70+9ζ769ζ20+9ζ35+9ζ389ζ4+9ζ7+9ζ829ζ5+9ζ32+9ζ569ζ+9ζ25+9ζ679ζ11+9ζ86+9ζ899ζ55+9ζ58+9ζ73000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 93 (ζ93 = 1); i = ζ23.