Finite Group Databasebeta

← Group #13013115

Character table — Group #13013115

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
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order1224455881010202020202244810102020404040404040404010101010202020202244224488222441010881010202020202244810102020404040404040404010101010202020202244224488222441010881010202020202244810102020404040404040404010101010202020202244224488222441010881010202020202244810102020404040404040404010101010202020202244224488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ4111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ51111111-1-11111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111111-1-11111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111111-1-11111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111111-1-11111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ61111111-1-11111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111-1-11111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111-1-11111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111-1-11111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ71111111-1-1111111-11-11-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11111111-1-1111111-11-11-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11111111-1-1111111-11-11-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11111111-1-1111111-11-11-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1
χ81111111-1-1111111-11-11-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111111-1-1111111-11-11-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111111-1-1111111-11-11-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111111-1-1111111-11-11-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ911-1-11111111-1-1-1-11-1-11-1-1-1111111-1-1-1-111-1-1-1-1111-11-11-11-11-111-1-11111111-1-1-1-11-1-11-1-1-1111111-1-1-1-111-1-1-1-1111-11-11-11-11-111-1-11111111-1-1-1-11-1-11-1-1-1111111-1-1-1-111-1-1-1-1111-11-11-11-11-111-1-11111111-1-1-1-11-1-11-1-1-1111111-1-1-1-111-1-1-1-1111-11-11-11-11-1
χ1011-1-11111111-1-1-1-11-1-11-1-1-1111111-1-1-1-111-1-1-1-111-11-11-11-11-1111-1-11111111-1-1-1-11-1-11-1-1-1111111-1-1-1-111-1-1-1-111-11-11-11-11-1111-1-11111111-1-1-1-11-1-11-1-1-1111111-1-1-1-111-1-1-1-111-11-11-11-11-1111-1-11111111-1-1-1-11-1-11-1-1-1111111-1-1-1-111-1-1-1-111-11-11-11-11-11
χ1111-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-1-11-111-111-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-1-11-111-111-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-1-11-111-111-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-1-11-111-1
χ1211-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11-111-11-1-1111-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11-111-11-1-1111-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11-111-11-1-1111-1-11111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11-111-11-1-11
χ1311-1-1111-1-111-1-1-1-111-1-11-1-111-1-1-1-111111111-1-1-1-11-11-11-1-11-1111-1-1111-1-111-1-1-1-111-1-11-1-111-1-1-1-111111111-1-1-1-11-11-11-1-11-1111-1-1111-1-111-1-1-1-111-1-11-1-111-1-1-1-111111111-1-1-1-11-11-11-1-11-1111-1-1111-1-111-1-1-1-111-1-11-1-111-1-1-1-111111111-1-1-1-11-11-11-1-11-11
χ1411-1-1111-1-111-1-1-1-111-1-11-1-111-1-1-1-111111111-1-1-1-1-11-11-111-11-111-1-1111-1-111-1-1-1-111-1-11-1-111-1-1-1-111111111-1-1-1-1-11-11-111-11-111-1-1111-1-111-1-1-1-111-1-11-1-111-1-1-1-111111111-1-1-1-1-11-11-111-11-111-1-1111-1-111-1-1-1-111-1-11-1-111-1-1-1-111111111-1-1-1-1-11-11-111-11-1
χ1511-1-1111-1-111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111111-11-1-111-1-1111-1-1111-1-111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111111-11-1-111-1-1111-1-1111-1-111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111111-11-1-111-1-1111-1-1111-1-111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111111-11-1-111-1-11
χ1611-1-1111-1-111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-11-111-1-111-111-1-1111-1-111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-11-111-1-111-111-1-1111-1-111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-11-111-1-111-111-1-1111-1-111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-11-111-1-111-1
χ1722222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ1822222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52000000000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52000000000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52000000000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000
χ1922222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52000000000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52000000000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52000000000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ2022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ2122222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ2222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52000000000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52000000000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52000000000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000
χ2322222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ2422222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ25222-2-2220022-2-2-2-20000022-2-200000000000000002-2-22000000222-2-2220022-2-2-2-20000022-2-200000000000000002-2-22000000222-2-2220022-2-2-2-20000022-2-200000000000000002-2-22000000222-2-2220022-2-2-2-20000022-2-200000000000000002-2-22000000
χ26222-2-2220022-2-2-2-20000022-2-20000000000000000-222-2000000222-2-2220022-2-2-2-20000022-2-20000000000000000-222-2000000222-2-2220022-2-2-2-20000022-2-20000000000000000-222-2000000222-2-2220022-2-2-2-20000022-2-20000000000000000-222-2000000
χ2722-22-2220022222200000-2-2-2-2000000000000000022-2-200000022-22-2220022222200000-2-2-2-2000000000000000022-2-200000022-22-2220022222200000-2-2-2-2000000000000000022-2-200000022-22-2220022222200000-2-2-2-2000000000000000022-2-2000000
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χ2004-4000−1−5−1+5−2i22i21+51−5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000-440001+51−52i2−2i2−1−5−1+52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000-440001+51−52i2−2i2−1−5−1+52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370000000000000000004-4000−1−5−1+5−2i22i21+51−5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.