Finite Group Databasebeta

← Group #14550879

Character table — Group #14550879

Order 2187.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111333333339999992727272727272727272727272727272727272727272727271113333333399999927272727272727272727272727272727272727272727272711133333333999999272727272727272727272727272727272727272727272727
order133333333333333339999999999999999999999993333333333333333399999999999999999999999933333333333333333999999999999999999999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ311111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ511111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i3211111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i3211111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32
χ611111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ711111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ811111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ911111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i3211111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i3211111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32
χ1033333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000000000000000000033333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000000000000000000033333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000000000
χ1133333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3200000000000000000000000033333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3200000000000000000000000033333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000000000
χ1233333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ50002ζ+ζ4−ζ+ζ4−ζ−2ζ400033333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ50002ζ+ζ4−ζ+ζ4−ζ−2ζ400033333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ50002ζ+ζ4−ζ+ζ4−ζ−2ζ4000
χ1333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000−ζ+ζ4−ζ−2ζ42ζ+ζ400033333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000−ζ+ζ4−ζ−2ζ42ζ+ζ400033333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000−ζ+ζ4−ζ−2ζ42ζ+ζ4000
χ1433333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000−ζ−2ζ42ζ+ζ4−ζ+ζ400033333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000−ζ−2ζ42ζ+ζ4−ζ+ζ400033333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000−ζ−2ζ42ζ+ζ4−ζ+ζ4000
χ1533333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ500033333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ500033333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000
χ1633333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ500033333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ500033333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000
χ1733333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ500033333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ500033333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000
χ18333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ50000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ50000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ50000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4
χ19333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4
χ20333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4
χ21333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000
χ22333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000
χ23333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000
χ24333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3230000002ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000000000000000333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3230000002ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000000000000000333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3230000002ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000000000000000
χ25333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000−ζ+ζ4−ζ−2ζ42ζ+ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000000000000000333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000−ζ+ζ4−ζ−2ζ42ζ+ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000000000000000333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000−ζ+ζ4−ζ−2ζ42ζ+ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000000000000000
χ26333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000−ζ−2ζ42ζ+ζ4−ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000000000000000333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000−ζ−2ζ42ζ+ζ4−ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000000000000000333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000−ζ−2ζ42ζ+ζ4−ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000000000000000
χ27333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5
χ28333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5
χ29333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5
χ30333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4000000000000000000333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4000000000000000000333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4000000000000000000
χ31333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4000000000000000000333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4000000000000000000333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4000000000000000000
χ32333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4000000000000000000333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4000000000000000000333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4000000000000000000
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χ1209−9+9i32−9−9i32000000003+3i32-33−3i323−3i323+3i32-3000000000000000000000000−9−9i329−9+9i32000000003−3i323+3i32-3-33−3i323+3i32000000000000000000000000−9+9i32−9−9i32900000000-33−3i323+3i323+3i32-33−3i32000000000000000000000000
χ1219−9−9i32−9+9i3200000000-33+3i323−3i32-33+3i323−3i32000000000000000000000000−9−9i32−9+9i329000000003+3i323−3i32-33+3i323−3i32-3000000000000000000000000−9+9i329−9−9i32000000003−3i32-33+3i323−3i32-33+3i32000000000000000000000000
χ1229−9−9i32−9+9i32000000003−3i32-33+3i323+3i323−3i32-3000000000000000000000000−9−9i32−9+9i32900000000-33+3i323−3i323−3i32-33+3i32000000000000000000000000−9+9i329−9−9i32000000003+3i323−3i32-3-33+3i323−3i32000000000000000000000000
χ1239−9−9i32−9+9i32000000003+3i323−3i32-33−3i32-33+3i32000000000000000000000000−9−9i32−9+9i329000000003−3i32-33+3i32-33+3i323−3i32000000000000000000000000−9+9i329−9−9i3200000000-33+3i323−3i323+3i323−3i32-3000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.