Finite Group Databasebeta

← Group #14484839

Character table — Group #14484839

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159
size111122222222222222223333444444444444444444444444444446666666666668888888888888888888888888101010101010101012121212121212121212121212121212121616161616161616202020202020202020202020242424242424242430303030303030304040404060606060
order12223444455666101010101010444444444121212121515202020202020202020202020303030303030444420202020202020201212121212202020202020202060606060606060606060606022444444222441010101020202020202020206060606060606060222466121212121212101010102020202044444444666124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111-1-1
χ4111111111111111111111111-1-11-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111
χ511111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-11111-1-11-1-11-1-111
χ811111111111111111111-1-1-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111111111-1-1-1-111-111-111-1-1
χ91111111-1-11111111111111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111111111-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1111111-1-111-1-111-1-11111-1-111-11-1-1-1-11-1
χ101111111-1-11111111111111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111111111-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-11111-11
χ111111111-1-1111111111111111-11-1-11-1-111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11111-1-111-1-111-1-11111-1-11111-1-11-1-1-1-11
χ121111111-1-1111111111111111-11-1-11-1-111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-11111-1
χ131111111-1-111111111111-1-1-1-11-1-11-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1111111111-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-11-1-111-11
χ141111111-1-111111111111-1-1-1-11-1-11-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-11-1111111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-111-1-111-1-1111111-1-1111-111-1-11-1
χ151111111-1-111111111111-1-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-11-111111111-1-1-1-1-1-1-1-11111-1-11-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11-1111-1
χ161111111-1-111111111111-1-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11-111111111-1-1-1-1-1-1-1-1111111-11-1-1-1-111-1-111-1-111-1-111-1-1111111-11-1-1-11
χ1711111-1-11111111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1111-1-11111-1-1-1-11111-1-1111111-1-1-111-1-1-1
χ1811111-1-11111111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1111
χ1911111-1-111111111111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11111-111
χ2011111-1-111111111111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-111111111-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-1-11111111111-1-1-1-1111111-1-11-1-1-1-11-1-1
χ2111111-1-11111111111111-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111
χ2211111-1-11111111111111-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1111111-1-111-1-1111-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111-11-1-1-1
χ2311111-1-11111111111111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1111111-1-1-1-11111-1-111-1-111-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1111-11-1-1
χ2411111-1-11111111111111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-11111-1-111-1-1111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111-1-1-11-111
χ2511111-1-1-1-11111111111111111-11-11-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-11111-1-1-1-1-1-1-1-111-1-1-1-1111-11-111-1-111-1-1-1-11111-1-1-1-111-1-1111-11-1-11-11
χ2611111-1-1-1-11111111111111111-11-11-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-11111-1-1-1-1-1-1-1-111-1-1-1-111-11-11-1-111-1-111-1-11111-1-111-1-111-1-1-11-111-11-1
χ2711111-1-1-1-1111111111111111-1111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-111-1
χ2811111-1-1-1-1111111111111111-1111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1111-1-11
χ2911111-1-1-1-111111111111-1-1-1-11-11-11-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11-1-1-1-11111111111-1-1-1-1111-11-111-1-111-1-111-1-1-1-11111-1-111-1-11-11-11-11-1
χ3011111-1-1-1-111111111111-1-1-1-11-11-11-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11-1-1-1-11111111111-1-1-1-111-11-11-1-111-1-11111-1-1-1-111-1-111-1-111-11-11-11-11
χ3111111-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-111111111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-11-1-11
χ3211111-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-111-1
χ33222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222222222222−1+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+52−1−52−1−522222−1+52−1+52−1+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+52−1−52−1−520000000022222−1+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+52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ34222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222-2-22-2-22222−1+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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-21−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000002-2-2-2-2−1+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+520000000000001−521+521−521+521−521+521−521+520000000000000000
χ35222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222222222−1+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+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+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+52−1−52−1−5200000000-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000001−521+521−521+521−521+521−521+520000000000000000
χ36222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-22-2-22222−1+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+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+522-2-2-2-21−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-222221−521−521+521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ37222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222222222222−1−52−1+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+522222−1−52−1−52−1−52−1−52−1+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+520000000022222−1−52−1−52−1+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+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ38222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222-2-22-2-22222−1−52−1+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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000002-2-2-2-2−1−52−1−52−1+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+521−520000000000001+521−521+521−521+521−521+521−520000000000000000
χ39222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222222222−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−5222222−1−52−1+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+5200000000-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000001+521−521+521−521+521−521+521−520000000000000000
χ40222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-22-2-22222−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−522-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-222221+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.