Finite Group Databasebeta

← Group #14483540

Character table — Group #14483540

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174
size1111222222222222444444444444444446666888888888888888888101010101212121212121212121220202020202024242424303030304040606011112222222222224444444444444444466668888888888888888881010101012121212121212121212202020202020242424243030303040406060
order122235566610101010101044412121515202020203030303030302244121220202020606060606060606060606060444444101010102020202044121212122020202044441212242222610106661010101010104441212303020202020303030303030224412122020202060606060606060606060606044444410101010202020204412121212202020204444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111-111-1-1-1-1-1-111-1-11-11-111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111-111-1-1-1-1-1-111-1-11-11-1
χ611111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-11-1-111-1-1-1-1-1-111-11-1111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-11-1-111-1-1-1-1-1-111-11-11
χ711111111111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1-11111-1-1111-1-1111111111111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1-11111-1-1111-1-11
χ811111111111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111-111111111111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111-1
χ91111111111111111-11-1-1-111-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-111111-1-1-1-1-1111-1-111-1-11111-11-1-11111111111111111-11-1-1-111-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-111111-1-1-1-1-1111-1-111-1-11111-11-1-1
χ101111111111111111-11-1-1-111-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-111-111111-1-1-1-11-1-1-11111-1-1-1-1-1-11-1111111111111111111-11-1-1-111-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-111-111111-1-1-1-11-1-1-11111-1-1-1-1-1-11-111
χ111111111111111111-11-1-1-111-1-1-1-1111111-1-111-11-1-111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-11111-1111-1-1-1-111-1-1-1-1-11111111111111111111-11-1-1-111-1-1-1-1111111-1-111-11-1-111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-11111-1111-1-1-1-111-1-1-1-1-1111
χ121111111111111111-11-1-1-111-1-1-1-1111111-1-111-11-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-111111-1-1-111-1-11111111-1-1-11111111111111111-11-1-1-111-1-1-1-1111111-1-111-11-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-111111-1-1-111-1-11111111-1-1-1
χ131111111111111111-1-111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-111111111111111111-1-111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-11
χ141111111111111111-1-111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1-1-111-1-111111-11111111111111111-1-111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1-1-111-1-111111-1
χ151111111111111111-1-111111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1111111-1-1-1-111-1-11-11111111111111111-1-111111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1111111-1-1-1-111-1-11-1
χ161111111111111111-1-111111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-111-1-111-111111111111111111-1-111111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-111-1-111-11
χ1722222−1−52−1+52222−1−52−1+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+52222222−1−52−1+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+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+520000000022222−1−52−1+52222−1−52−1+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+52222222−1−52−1+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+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+5200000000
χ1822222−1−52−1+52222−1−52−1+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+52-2-2-2-222−1−52−1+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+520000-2-21+521+521−521−521+521+521−521−520000001+521−521+521−520000000022222−1−52−1+52222−1−52−1+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+52-2-2-2-222−1−52−1+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+520000-2-21+521+521−521−521+521+521−521−520000001+521−521+521−5200000000
χ1922222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−520000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−5200000000
χ2022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000221+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+520000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000221+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+5200000000
χ2122222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000-22−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−520000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000-22−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−5200000000
χ2222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200002-21+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+520000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200002-21+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+5200000000
χ2322222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−520000001+521−52−1−52−1+520000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−520000001+521−52−1−52−1+5200000000
χ2422222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-221+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+521+521−520000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-221+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+521+521−5200000000
χ2522222−1+52−1−52222−1+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+52−1−52222222−1+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+52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−520000000022222−1+52−1−52222−1+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+52−1−52222222−1+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+52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−5200000000
χ2622222−1+52−1−52222−1+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+52−1−52-2-2-2-222−1+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+52−1−52−1−520000-2-21−521−521+521+521−521−521+521+520000001−521+521−521+520000000022222−1+52−1−52222−1+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+52−1−52-2-2-2-222−1+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+52−1−52−1−520000-2-21−521−521+521+521−521−521+521+520000001−521+521−521+5200000000
χ2722222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+520000000022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+5200000000
χ2822222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000221−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−520000000022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000221−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−5200000000
χ2922222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000-22−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+520000000022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000-22−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+5200000000
χ3022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200002-21−521−521+521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−520000000022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200002-21−521−521+521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−5200000000
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χ1644-44-4-2−1+5−1−5-2221−51+5−1+5−1−51−51+50002i3−2i31−521+52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+52−1−521−521+52−1+52−1−520000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ7−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+ζ5900000000000000000000000000000000-44-4421−51+52-2-2−1+5−1−51−51+5−1+5−1−5000−2i32i3−1+52−1−522ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ591−521+52−1+52−1−521−521+520000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−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−ζ5900000000000000000000000000000000
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χ1664-4-444−1−5−1+5-4-44−1−5−1+51+51−51+51−500000−1−5−1+50000−1−5−1+51+51−51+51−5-44000000000000000000000000001+5−1−51−5−1+50000000000000000000000-444-4-41+51−544-41+51−5−1−5−1+5−1−5−1+5000001+51−500001+51−5−1−5−1+5−1−5−1+54-400000000000000000000000000−1−51+5−1+51−50000000000000000000000
χ1674-4-444−1+5−1−5-4-44−1+5−1−51−51+51−51+500000−1+5−1−50000−1+5−1−51−51+51−51+54-400000000000000000000000000−1+51−5−1−51+50000000000000000000000-444-4-41−51+544-41−51+5−1+5−1−5−1+5−1−5000001−51+500001−51+5−1+5−1−5−1+5−1−5-44000000000000000000000000001−5−1+51+5−1−50000000000000000000000
χ1684-4-444−1+5−1−5-4-44−1+5−1−51−51+51−51+500000−1+5−1−50000−1+5−1−51−51+51−51+5-44000000000000000000000000001−5−1+51+5−1−50000000000000000000000-444-4-41−51+544-41−51+5−1+5−1−5−1+5−1−5000001−51+500001−51+5−1+5−1−5−1+5−1−54-400000000000000000000000000−1+51−5−1−51+50000000000000000000000
χ1694-4-44-24422-244-4-4-4-400000-2-20000-2-2222200000000000000000000004i−4i00000000000000−2i2i00000000000000-444-42-4-4-2-22-4-444440000022000022-2-2-2-20000000000000000000000−4i4i000000000000002i−2i00000000000000
χ1704-4-44-24422-244-4-4-4-400000-2-20000-2-222220000000000000000000000−4i4i000000000000002i−2i00000000000000-444-42-4-4-2-22-4-444440000022000022-2-2-2-200000000000000000000004i−4i00000000000000−2i2i00000000000000
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χ1748-8-88-4−2+25−2−2544-4−2+25−2−252−252+252−252+25000001−51+500001−51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000-888-842−252+25-4-442−252+25−2+25−2−25−2+25−2−2500000−1+5−1−50000−1+5−1−51−51+51−51+5000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.