Finite Group Databasebeta

← Group #14484656

Character table — Group #14484656

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195
size112222233444666112222233444666224444466888121212224444466888121212224444466888121212224444466888121212224444466888121212224444466888121212224444466888121212224444466888121212224444466888121212101020202020203030404040606060101020202020203030404040606060
order122234644661224422226464466122444444124124412121244451010101520302020303060102020510101015203020203030601020201010101030203020203030601020201010101030203020203030601020202020202060206020206060602020202020202060206020206060602020202020202060206020206060602020202020202060206020206060602020204444124124412121244444441241244121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-1
χ3111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1
χ4111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11
χ511-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-11
χ611-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-1
χ711-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-1
χ811-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-111
χ92222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-1000
χ10222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000
χ1122-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-11000
χ1222-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-1000
χ132-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i000000
χ142-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i000000
χ154-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-20200000000
χ16111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ171111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-111-1-1-1111
χ18111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1-1-1-11-11-1-1-1-1111-11-1-1-11-11-1-1-1-1111-11
χ19111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11-1-1-11-11-111-111-11-1-1-1-11-11-111-111-11-1
χ2011-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-11-1-11-1-11-1-1-11-1111-1-1-11-1-11-1-1-11-1111-1
χ2111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-1-1-11-1-11-1111-11-1-11-1-11-1-11-1111-11-1-11
χ2211-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-1-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1-111-1-111
χ2311-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-111-1-111-1-1-11111-11-1-1-1-111-1-1-11111-11-1-1
χ242222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-1000-2-2-2-21-2100111000-2-2-2-21-2100111000
χ25222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000-2-2-22121001-1-1000-2-2-22121001-1-1000
χ2622-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-11000-2-22-212100-11-1000-2-22-212100-11-1000
χ2722-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-1000-2-2221-2100-1-11000-2-2221-2100-1-11000
χ282-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i000000-2200-202−2i2i000000-2200-202−2i2i000000
χ292-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i000000-2200-2022i−2i000000-2200-2022i−2i000000
χ304-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-202000000004-400-20200000000-440020-200000000-440020-200000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ321111111-1-1111-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-111-1-1-11111111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ33111-11-11111-1-1-11-1111-11-11111-1-1-11-1-1-1-11-11-1-1-1-1111-11111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1111-11-11111-1-1-11-1-1-1-11-11-1-1-1-1111-11-1-1-11-11-1-1-1-1111-11-1-1-11-11-1-1-1-1111-11-1-1-11-11-1-1-1-1111-11111-11-11111-1-1-11-1-1-1-11-11-1-1-1-1111-11
χ34111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11-1-1-11-11-111-111-11-1111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11111-11-11-1-11-1-11-11-1-1-11-11-111-111-11-1-1-1-11-11-111-111-11-1-1-1-11-11-111-111-11-1-1-1-11-11-111-111-11-1111-11-11-1-11-1-11-11-1-1-11-11-111-111-11-1
χ3511-111-1111-11-1-1-1111-111-1111-11-1-1-11-1-11-1-11-1-1-11-1111-111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-1111-111-1111-11-1-1-11-1-11-1-11-1-1-11-1111-1-1-11-1-11-1-1-11-1111-1-1-11-1-11-1-1-11-1111-1-1-11-1-11-1-1-11-1111-111-111-1111-11-1-1-11-1-11-1-11-1-1-11-1111-1
χ3611-111-11-1-1-11-111-111-111-11-1-1-11-111-1-1-11-1-11-1111-11-1-1111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-111-111-11-1-1-11-111-1-1-11-1-11-1111-11-1-11-1-11-1-11-1111-11-1-11-1-11-1-11-1111-11-1-11-1-11-1-11-1111-11-1-1111-111-11-1-1-11-111-1-1-11-1-11-1111-11-1-11
χ3711-1-111111-1-111-1-111-1-111111-1-111-1-1-1-111-1-1-1-1-111-1-11111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-111-1-111111-1-111-1-1-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1-111-1-11111-1-111111-1-111-1-1-1-111-1-1-1-1-111-1-111
χ3811-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-111-1-111-1-1-11111-11-1-111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-11111-1-1111-1-1-1-11-111-1-111-1-1-11111-11-1-1-1-111-1-1-11111-11-1-1-1-111-1-1-11111-11-1-1-1-111-1-1-11111-11-1-111-1-1111-1-1-1-11-111-1-111-1-1-11111-11-1-1
χ392222-12-100-1-1-10002222-12-100-1-1-1000-2-2-2-21-21001110002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-10002222-12-100-1-1-1000-2-2-2-21-2100111000-2-2-2-21-2100111000-2-2-2-21-2100111000-2-2-2-21-21001110002222-12-100-1-1-1000-2-2-2-21-2100111000
χ40222-2-1-2-100-111000222-2-1-2-100-111000-2-2-22121001-1-1000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000222-2-1-2-100-111000-2-2-22121001-1-1000-2-2-22121001-1-1000-2-2-22121001-1-1000-2-2-22121001-1-1000222-2-1-2-100-111000-2-2-22121001-1-1000
χ4122-22-1-2-1001-1100022-22-1-2-1001-11000-2-22-212100-11-100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-1100022-22-1-2-1001-11000-2-22-212100-11-1000-2-22-212100-11-1000-2-22-212100-11-1000-2-22-212100-11-100022-22-1-2-1001-11000-2-22-212100-11-1000
χ4222-2-2-12-10011-100022-2-2-12-10011-1000-2-2221-2100-1-1100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-100022-2-2-12-10011-1000-2-2221-2100-1-11000-2-2221-2100-1-11000-2-2221-2100-1-11000-2-2221-2100-1-1100022-2-2-12-10011-1000-2-2221-2100-1-11000
χ432-20020-22i−2i0000002-20020-22i−2i000000-2200-202−2i2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i0000002-20020-22i−2i000000-2200-202−2i2i000000-2200-202−2i2i000000-2200-202−2i2i000000-2200-202−2i2i0000002-20020-22i−2i000000-2200-202−2i2i000000
χ442-20020-2−2i2i0000002-20020-2−2i2i000000-2200-2022i−2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i0000002-20020-2−2i2i000000-2200-2022i−2i000000-2200-2022i−2i000000-2200-2022i−2i000000-2200-2022i−2i0000002-20020-2−2i2i000000-2200-2022i−2i000000
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χ1944-40040-4−4i4i000000-4400-4044i−4i000000000000000000000−1−51+500−1−501+52ζ3+2ζ7−2ζ3−2ζ7000000−1+51−500−1+501−52ζ11+2ζ19−2ζ11−2ζ190000001+5−1−5001+50−1−5−2ζ3−2ζ72ζ3+2ζ70000001−5−1+5001−50−1+5−2ζ11−2ζ192ζ11+2ζ19000000−2ζ3+2ζ72ζ3−2ζ700−2ζ3+2ζ702ζ3−2ζ72ζ2−2ζ18−2ζ2+2ζ180000002ζ3−2ζ7−2ζ3+2ζ7002ζ3−2ζ70−2ζ3+2ζ7−2ζ2+2ζ182ζ2−2ζ18000000−2ζ11+2ζ192ζ11−2ζ1900−2ζ11+2ζ1902ζ11−2ζ19−2ζ6+2ζ142ζ6−2ζ140000002ζ11−2ζ19−2ζ11+2ζ19002ζ11−2ζ190−2ζ11+2ζ192ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000
χ1958-800-40400000000-880040-400000000000000000000000−2−252+25001+50−1−500000000−2+252−25001−50−1+5000000002+25−2−2500−1−501+5000000002−25−2+2500−1+501−500000000−4ζ3+4ζ74ζ3−4ζ7002ζ3−2ζ70−2ζ3+2ζ7000000004ζ3−4ζ7−4ζ3+4ζ700−2ζ3+2ζ702ζ3−2ζ700000000−4ζ11+4ζ194ζ11−4ζ19002ζ11−2ζ190−2ζ11+2ζ19000000004ζ11−4ζ19−4ζ11+4ζ1900−2ζ11+2ζ1902ζ11−2ζ1900000000000000000000000000000000000000

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