Finite Group Databasebeta

← Group #14483168

Character table — Group #14483168

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159
size111122222222222222223333444444444444444444444444444446666666666668888888888888888888888888101010101010101012121212121212121212121212121212121616161616161616202020202020202020202020242424242424242430303030303030304040404060606060
order1222223445566610101010101044442444466101010101212151520202020202020203030303030302244202020202020202061010121212122020202020203030303060606060606060602222444422444101010101010101020202020303060606060606022446666121212121010202020202020224444446612122444
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
χ3111111111111111111111111-1-1-11-1111111111111111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-111111111111111-1-111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-111-1
χ4111111111111111111111111-1-1-11-1111111111111111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1111111111111-1-111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-11-111-1-11
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
χ711111111111111111111-1-1-1-1-1-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111111111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11111111111-1-1-1-1111-11-11-1-11
χ811111111111111111111-1-1-1-1-1-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111111111-1-111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111111111-1-11111-1-1-11-11-111-1
χ91111111-1-11111111111111111-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-1-11111111111111-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-11-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-11111-1-11111-1-1-1-11111-1-111111-1-1-1-1-11-1
χ101111111-1-11111111111111111-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-1-11111111111111-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-111111-11
χ111111111-1-1111111111111111-111-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-111-111
χ121111111-1-1111111111111111-111-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1111111-1-11111-1-11111-1-111-1-11-1-11-1-1
χ131111111-1-111111111111-1-1-1-11-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-111-111111111-1-1-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-11-1-1-111-11
χ141111111-1-111111111111-1-1-1-11-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-1-1-11111-1-111-1-11111-1111-1-11-1
χ151111111-1-111111111111-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-11111-1-111-1111-1-1-1-1-1-111-1-1-1-1111111-1-11111-11-11-1-1
χ161111111-1-111111111111-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-11111-1-1-1-11-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11-11-111
χ171111-1-111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1111111-1-1-111-1-1-1
χ181111-1-111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111-1-1111
χ191111-1-1111111111111111111-1-11-11-1-1-1-1-1-111111111-1-1-1-111111111-1-111111111-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-111-1-11111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1111111-1-111-1-1111111-1-1-11-1-1-1-1-11
χ201111-1-1111111111111111111-1-11-11-1-1-1-1-1-111111111-1-1-1-111111111-1-111111111-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-111111-1
χ211111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-11-1111
χ221111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111-11-1-1-1
χ231111-1-111111111111111-1-1-1-1-1-11-11-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-111-1-111111-1-111-1-1-1-111111111-1-1-1-11111-11-1-111-1-11111-1-111-1-111-1-1-1-1-1-111-11-1-1111-1
χ241111-1-111111111111111-1-1-1-1-1-11-11-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-111111111-1-1-1-111111-111-1-111-1-1-1-1-1-111-1-111111111-1-11-111-1-1-11
χ251111-1-11-1-11111111111111111-111-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11-1-1-1-11111-1-1-1-111-1-111-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11-11
χ261111-1-11-1-11111111111111111-111-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11-1-1-1-11111-1-1-1-111-1-111-1-11-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-111-11-1
χ271111-1-11-1-1111111111111111-11-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1
χ281111-1-11-1-1111111111111111-11-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-11-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111
χ291111-1-11-1-111111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-11-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-11111-1-1-1-1111111-1-111-1-1-111-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-11-1
χ301111-1-11-1-111111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-11111-1-1-1-1111111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-11-11
χ311111-1-11-1-111111111111-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111
χ321111-1-11-1-111111111111-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ33222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222222222−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−522−1+52−1−522222−1+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+52−1−522222-2-2-22-222−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52-21−521+52-2-22-21−521+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+52−1−52-2-2-2-22222222−1+52−1+52−1−52−1−5222−1+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+522−1+52−1−522222−1+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+52−1−52-2-2-2-2-2-2-22-222−1+52−1+52−1−52−1−5222−1+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+52-21−521+52-2-22-21−521+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+5222222222222−1−52−1−52−1+52−1+5222−1−52−1+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+522−1−52−1+522222−1−52−1+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+522222-2-2-22-222−1−52−1−52−1+52−1+5222−1−52−1+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+52-21+521−52-2-22-21+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+52-2-2-2-22222222−1−52−1−52−1+52−1+5222−1−52−1+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+521−521−521−521−522−1−52−1+522222−1−52−1+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+52-2-2-2-2-2-2-22-222−1−52−1−52−1+52−1+5222−1−52−1+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+521−521−521−521−52-21+521−52-2-22-21+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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χ1314-44-400-24i−4i44-2224-44-4-4-4000000000000000−2i2i-2-24i−4i4i−4i0000-22-222200000000000000000000000000000−2i2i−2i2i00004-4004i−4i0000000000000000000000000000000-2200−2i2i00000000000000000000000000
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χ1354-4-444-4400−1+5−1−5-4-441−51−51+51+5−1+5−1−54-44-4000004-4−1+51−5−1−51+500−1+5−1−5000000001−51−51+51+5−1+5−1−5004-4−1+51−5−1+51−5−1−51+5−1−51+50000000000000−1+51−5−1−51+500000000000000000000000000000−1+51−5−1−51+500000000000000000000000000000000000000000000
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χ1414-4-44-44400−1+5−1−5-4-441−51−51+51+5−1+5−1−54-44-400000-441−5−1+51+5−1−500−1+5−1−5000000001−51−51+51+5−1+5−1−500-44−1+51−5−1+51−5−1−51+5−1−51+500000000000001−5−1+51+5−1−5000000000000000000000000000001−5−1+51+5−1−500000000000000000000000000000000000000000000
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χ1528-88-800-48i−8i−2+25−2−25-444−2+252−25−2−252+252−252+25000000000000000−4i4i1−51+5−4ζ11−4ζ194ζ11+4ζ19−4ζ3−4ζ74ζ3+4ζ700001−5−1+51+5−1−5−1+5−1−5000000000000000000000000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ70000000000000000000000000000000000000000000000000000000000000000000000000
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χ1568-8-888-8-400−2+25−2−2544-42−252−252+252+25−2+25−2−25000000000-44−2+252−25−2−252+25001−51+500000000−1+5−1+5−1−5−1−51−51+500000000000000000000000001−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000
χ1578-8-888-8-400−2−25−2+2544-42+252+252−252−25−2−25−2+25000000000-44−2−252+25−2+252−25001+51−500000000−1−5−1−5−1+5−1+51+51−500000000000000000000000001+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1598-8-88-88-400−2−25−2+2544-42+252+252−252−25−2−25−2+250000000004-42+25−2−252−25−2+25001+51−500000000−1−5−1−5−1+5−1+51+51−50000000000000000000000000−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000000000000000000

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