Finite Group Databasebeta

← Group #14411205

Character table — Group #14411205

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240
size1111111122222222222222222222444444444444222222224444444444445555555510101010101010101010101022222222444444444444444444448888888888884444444488888888888810101010101010102020202020202020202020203333333366666666666666666666121212121212121212121212666666661212121212121212121212121515151515151515303030303030303030303030
order1222444444448888888851010102020202020202020404040404040404051010102020202020202020404040404040404022224444444488888888366612121212121212122424242424242424153030306060606060606060120120120120120120120120153030306060606060606060120120120120120120120120666612121212121212122424242424242424222244444444888888881010101020202020202020204040404040404040101010102020202020202020404040404040404022224444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ411111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ51111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i
χ61111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii
χ71111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii
χ81111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i
χ911-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i
χ1011-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii
χ1111-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−ii−ii1-11-1−ii−ii
χ1211-1-111-1-1−ii−ii-11-11i−ii−i11-1-111-1-1−ii−ii-11-11i−ii−i11-1-111-1-1−ii−ii-11-11i−ii−i11-1-111-1-1−ii−ii-11-11i−ii−i11-1-111-1-1−ii−ii-11-11i−ii−i11-1-111-1-1−ii−ii-11-11i−ii−i11-1-111-1-1−ii−ii-11-11i−ii−i11-1-111-1-1−ii−ii-11-11i−ii−i11-1-111-1-1−ii−ii-11-11i−ii−i11-1-111-1-1−ii−ii-11-11i−ii−i11-1-111-1-1−ii−ii-11-11i−ii−i11-1-111-1-1−ii−ii-11-11i−ii−i
χ1311-1-1-1-111i−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−ii-111-1
χ1411-1-1-1-111i−i−ii−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i1-1-1111-1-1-1-111i−i−ii−iii−i1-1-11
χ1511-1-1-1-111−iii−ii−i−ii1-1-1111-1-1-1-111−iii−ii−i−ii1-1-1111-1-1-1-111−iii−ii−i−ii1-1-1111-1-1-1-111−iii−ii−i−ii1-1-1111-1-1-1-111−iii−ii−i−ii1-1-1111-1-1-1-111−iii−ii−i−ii1-1-1111-1-1-1-111−iii−ii−i−ii1-1-1111-1-1-1-111−iii−ii−i−ii1-1-1111-1-1-1-111−iii−ii−i−ii1-1-1111-1-1-1-111−iii−ii−i−ii1-1-1111-1-1-1-111−iii−ii−i−ii1-1-1111-1-1-1-111−iii−ii−i−ii1-1-11
χ1611-1-1-1-111−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i-111-1
χ172-22-22i−2i2i−2i0000000000002-22-22i−2i2i−2i0000000000002-22-22i−2i2i−2i0000000000002-22-22i−2i2i−2i0000000000002-22-22i−2i2i−2i0000000000002-22-22i−2i2i−2i0000000000002-22-22i−2i2i−2i0000000000002-22-22i−2i2i−2i0000000000002-22-22i−2i2i−2i0000000000002-22-22i−2i2i−2i0000000000002-22-22i−2i2i−2i0000000000002-22-22i−2i2i−2i000000000000
χ182-22-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i0000000000002-22-2−2i2i−2i2i000000000000
χ192-2-222i−2i−2i2i0000000000002-2-222i−2i−2i2i0000000000002-2-222i−2i−2i2i0000000000002-2-222i−2i−2i2i0000000000002-2-222i−2i−2i2i0000000000002-2-222i−2i−2i2i0000000000002-2-222i−2i−2i2i0000000000002-2-222i−2i−2i2i0000000000002-2-222i−2i−2i2i0000000000002-2-222i−2i−2i2i0000000000002-2-222i−2i−2i2i0000000000002-2-222i−2i−2i2i000000000000
χ202-2-22−2i2i2i−2i0000000000002-2-22−2i2i2i−2i0000000000002-2-22−2i2i2i−2i0000000000002-2-22−2i2i2i−2i0000000000002-2-22−2i2i2i−2i0000000000002-2-22−2i2i2i−2i0000000000002-2-22−2i2i2i−2i0000000000002-2-22−2i2i2i−2i0000000000002-2-22−2i2i2i−2i0000000000002-2-22−2i2i2i−2i0000000000002-2-22−2i2i2i−2i0000000000002-2-22−2i2i2i−2i000000000000
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ2311111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ2411111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ251111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-11111-1-111−i−iii−i−iii1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-11111-1-111−i−iii−i−iii1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-11111-1-111−i−iii−i−iii
χ261111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-11111-1-111ii−i−iii−i−i1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-11111-1-111ii−i−iii−i−i1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-11111-1-111ii−i−iii−i−i
χ271111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1111111-1-1−i−iiiii−i−i1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1111111-1-1−i−iiiii−i−i1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1111111-1-1−i−iiiii−i−i
χ281111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1111111-1-1ii−i−i−i−iii1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1111111-1-1ii−i−i−i−iii1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1111111-1-1ii−i−i−i−iii
χ2911-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i-1-111-1-111−ii−ii-11-11−ii−ii11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i-1-111-1-111−ii−ii-11-11−ii−ii11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1i−ii−i1-11-1i−ii−i-1-111-1-111−ii−ii-11-11−ii−ii
χ3011-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii-1-111-1-111−ii−ii1-11-1i−ii−i11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii-1-111-1-111−ii−ii1-11-1i−ii−i11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii11-1-111-1-1i−ii−i-11-11−ii−ii-1-111-1-111−ii−ii1-11-1i−ii−i
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χ2378-88-88i−8i8i−8i000000000000−2−252+25−2−252+25−4ζ3−4ζ74ζ3+4ζ7−4ζ3−4ζ74ζ3+4ζ7000000000000−2+252−25−2+252−25−4ζ11−4ζ194ζ11+4ζ19−4ζ11−4ζ194ζ11+4ζ1900000000000000000000000000000000-44-44−4i4i−4i4i0000000000001+5−1−51+5−1−52ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ70000000000001−5−1+51−5−1+52ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2388-88-8−8i8i−8i8i000000000000−2−252+25−2−252+254ζ3+4ζ7−4ζ3−4ζ74ζ3+4ζ7−4ζ3−4ζ7000000000000−2+252−25−2+252−254ζ11+4ζ19−4ζ11−4ζ194ζ11+4ζ19−4ζ11−4ζ1900000000000000000000000000000000-44-444i−4i4i−4i0000000000001+5−1−51+5−1−5−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000001−5−1+51−5−1+5−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ2408-8-88−8i8i8i−8i000000000000−2−252+252+25−2−254ζ3+4ζ7−4ζ3−4ζ7−4ζ3−4ζ74ζ3+4ζ7000000000000−2+252−252−25−2+254ζ11+4ζ19−4ζ11−4ζ19−4ζ11−4ζ194ζ11+4ζ1900000000000000000000000000000000-444-44i−4i−4i4i0000000000001+5−1−5−1−51+5−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ70000000000001−5−1+5−1+51−5−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.