Finite Group Databasebeta

← Group #14327249

Character table — Group #14327249

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210
size1111222222222222444444446666666666101010101010303011112222222222224444444466666666661010101010103030222244444444444488888888121212121212121212122020202020206060222244444444444488888888121212121212121212122020202020206060222244444444444488888888121212121212121212122020202020206060
order122235566610101010101015153030303030304420202020202020204412121212442222610106661010101010103030303030303030442020202020202020441212121244444412202012121220202020202060606060606060604420202020202020204412121212444444122020121212202020202020606060606060606044202020202020202044121212124444441220201212122020202020206060606060606060442020202020202020441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51-11-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i1-11-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i1-11-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i1-11-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i1-11-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i
χ61-11-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii1-11-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii1-11-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii1-11-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii1-11-11111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii
χ71-11-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii1-11-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii1-11-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii1-11-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii1-11-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii
χ81-11-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i1-11-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i1-11-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i1-11-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i1-11-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i
χ922222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ1022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000
χ1122222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ1222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000022222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000022222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000022222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000022222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000
χ132222-122-1-1-1222222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002222-122-1-1-1222222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002222-122-1-1-1222222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002222-122-1-1-1222222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002222-122-1-1-1222222-1-1-1-1-1-1-1-1000000000022-1-1-1-100
χ142222-122-1-1-1222222-1-1-1-1-1-1-1-10000000000-2-21111002222-122-1-1-1222222-1-1-1-1-1-1-1-10000000000-2-21111002222-122-1-1-1222222-1-1-1-1-1-1-1-10000000000-2-21111002222-122-1-1-1222222-1-1-1-1-1-1-1-10000000000-2-21111002222-122-1-1-1222222-1-1-1-1-1-1-1-10000000000-2-2111100
χ1522-2-2222-22-22-22-2-2-222-2-22-22-200000000000000000022-2-2222-22-22-22-2-2-222-2-22-22-200000000000000000022-2-2222-22-22-22-2-2-222-2-22-22-200000000000000000022-2-2222-22-22-22-2-2-222-2-22-22-200000000000000000022-2-2222-22-22-22-2-2-222-2-22-22-2000000000000000000
χ1622-2-22−1−52−1+52-22-2−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−5200−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000022-2-22−1−52−1+52-22-2−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−5200−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000022-2-22−1−52−1+52-22-2−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−5200−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000022-2-22−1−52−1+52-22-2−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−5200−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000022-2-22−1−52−1+52-22-2−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−5200−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000
χ1722-2-22−1−52−1+52-22-2−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−5200ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000022-2-22−1−52−1+52-22-2−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−5200ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000022-2-22−1−52−1+52-22-2−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−5200ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000022-2-22−1−52−1+52-22-2−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−5200ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000022-2-22−1−52−1+52-22-2−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−5200ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000
χ1822-2-22−1+52−1−52-22-2−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+5200ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000022-2-22−1+52−1−52-22-2−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+5200ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000022-2-22−1+52−1−52-22-2−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+5200ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000022-2-22−1+52−1−52-22-2−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+5200ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000022-2-22−1+52−1−52-22-2−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+5200ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900000000
χ1922-2-22−1+52−1−52-22-2−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+5200−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000022-2-22−1+52−1−52-22-2−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+5200−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000022-2-22−1+52−1−52-22-2−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+5200−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000022-2-22−1+52−1−52-22-2−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+5200−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000022-2-22−1+52−1−52-22-2−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+5200−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000
χ2022-2-2-1221-112-22-2-2-2-1-111-11-110000000000003−33−30022-2-2-1221-112-22-2-2-2-1-111-11-110000000000003−33−30022-2-2-1221-112-22-2-2-2-1-111-11-110000000000003−33−30022-2-2-1221-112-22-2-2-2-1-111-11-110000000000003−33−30022-2-2-1221-112-22-2-2-2-1-111-11-110000000000003−33−300
χ2122-2-2-1221-112-22-2-2-2-1-111-11-11000000000000−33−330022-2-2-1221-112-22-2-2-2-1-111-11-11000000000000−33−330022-2-2-1221-112-22-2-2-2-1-111-11-11000000000000−33−330022-2-2-1221-112-22-2-2-2-1-111-11-11000000000000−33−330022-2-2-1221-112-22-2-2-2-1-111-11-11000000000000−33−3300
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χ1914-44-44−1−5−1+54-4-41+51+51−51−5−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−5-441+51+51−51−5−1−5−1−5−1+5−1+500000000-44-44-41+51−5-444−1−5−1−5−1+5−1+51+51−51+51−51+51−5−1−5−1−5−1+5−1+54-4−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1924-44-44−1+5−1−54-4-41−51−51+51+5−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+54-4−1+5−1+5−1−5−1−51−51−51+51+500000000-44-44-41−51+5-444−1+5−1+5−1−5−1−51−51+51−51+51−51+5−1+5−1+5−1−5−1−5-441−51−51+51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1934-44-44−1+5−1−54-4-41−51−51+51+5−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+5-441−51−51+51+5−1+5−1+5−1−5−1−500000000-44-44-41−51+5-444−1+5−1+5−1−5−1−51−51+51−51+51−51+5−1+5−1+5−1−5−1−54-4−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.