Finite Group Databasebeta

← Group #92821

Character table — Group #92821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222444444444444444488888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161622448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ611-1-1ii−i−i
χ1011111111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-1-111−i−iii
χ1111111111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-1-111−i−iii
χ1211111111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ611-1-1ii−i−i
χ1311111111-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ211-1-1−i−iii
χ1411111111-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-1-111ii−i−i
χ1511111111-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-1-111ii−i−i
χ1611111111-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ211-1-1−i−iii
χ17111-1-11-1-1i−iii−i−ii−i1-1i−i1-1i−iζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ611-1-1ii−i−iζζζζ−ζ−ζ−ζ−ζζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζζ−ζ−ζζ5ζ5−ζ5−ζ5ζ3ζ3−ζ3−ζ3ζ7ζ7−ζ7−ζ71-1i−iζ2−ζ2ζ6−ζ6
χ18111-1-11-1-1i−iii−i−ii−i1-1i−i1-1i−iζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ611-1-1ii−i−iζζζζ−ζ−ζ−ζ−ζζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ−ζζζ−ζ5−ζ5ζ5ζ5−ζ3−ζ3ζ3ζ3−ζ7−ζ7ζ7ζ7-11−ii−ζ2ζ2−ζ6ζ6
χ19111-1-11-1-1i−iii−i−ii−i1-1i−i1-1i−iζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ611-1-1ii−i−i−ζ−ζ−ζ−ζζζζζ−ζ5−ζ5−ζ5−ζ5ζ5ζ5ζ5ζ5−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζζ−ζ−ζζ5ζ5−ζ5−ζ5ζ3ζ3−ζ3−ζ3ζ7ζ7−ζ7−ζ7-11−ii−ζ2ζ2−ζ6ζ6
χ20111-1-11-1-1i−iii−i−ii−i1-1i−i1-1i−iζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ611-1-1ii−i−i−ζ−ζ−ζ−ζζζζζ−ζ5−ζ5−ζ5−ζ5ζ5ζ5ζ5ζ5−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ−ζζζ−ζ5−ζ5ζ5ζ5−ζ3−ζ3ζ3ζ3−ζ7−ζ7ζ7ζ71-1i−iζ2−ζ2ζ6−ζ6
χ21111-1-11-1-1i−iii−i−ii−i1-1i−i1-1i−i−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ611-1-1ii−i−iζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5−ζ−ζ−ζ−ζζζζζ−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ5ζ5−ζ5−ζ5−ζ−ζζζ−ζ7−ζ7ζ7ζ7ζ3ζ3−ζ3−ζ31-1i−i−ζ2ζ2−ζ6ζ6
χ22111-1-11-1-1i−iii−i−ii−i1-1i−i1-1i−i−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ611-1-1ii−i−iζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5−ζ−ζ−ζ−ζζζζζ−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ5−ζ5ζ5ζ5ζζ−ζ−ζζ7ζ7−ζ7−ζ7−ζ3−ζ3ζ3ζ3-11−iiζ2−ζ2ζ6−ζ6
χ23111-1-11-1-1i−iii−i−ii−i1-1i−i1-1i−i−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ611-1-1ii−i−i−ζ5−ζ5−ζ5−ζ5ζ5ζ5ζ5ζ5ζζζζ−ζ−ζ−ζ−ζζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ5ζ5−ζ5−ζ5−ζ−ζζζ−ζ7−ζ7ζ7ζ7ζ3ζ3−ζ3−ζ3-11−iiζ2−ζ2ζ6−ζ6
χ24111-1-11-1-1i−iii−i−ii−i1-1i−i1-1i−i−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ611-1-1ii−i−i−ζ5−ζ5−ζ5−ζ5ζ5ζ5ζ5ζ5ζζζζ−ζ−ζ−ζ−ζζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ5−ζ5ζ5ζ5ζζ−ζ−ζζ7ζ7−ζ7−ζ7−ζ3−ζ3ζ3ζ31-1i−i−ζ2ζ2−ζ6ζ6
χ25111-1-11-1-1−ii−i−iii−ii1-1−ii1-1−iiζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ211-1-1−i−iiiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ−ζ−ζ−ζζζζζζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζ3ζ3−ζ3−ζ3−ζ7−ζ7ζ7ζ7−ζ−ζζζζ5ζ5−ζ5−ζ51-1−iiζ6−ζ6ζ2−ζ2
χ26111-1-11-1-1−ii−i−iii−ii1-1−ii1-1−iiζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ211-1-1−i−iiiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ−ζ−ζ−ζζζζζζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5−ζ3−ζ3ζ3ζ3ζ7ζ7−ζ7−ζ7ζζ−ζ−ζ−ζ5−ζ5ζ5ζ5-11i−i−ζ6ζ6−ζ2ζ2
χ27111-1-11-1-1−ii−i−iii−ii1-1−ii1-1−iiζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ211-1-1−i−iii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζζζζ−ζ−ζ−ζ−ζ−ζ5−ζ5−ζ5−ζ5ζ5ζ5ζ5ζ5ζ3ζ3−ζ3−ζ3−ζ7−ζ7ζ7ζ7−ζ−ζζζζ5ζ5−ζ5−ζ5-11i−i−ζ6ζ6−ζ2ζ2
χ28111-1-11-1-1−ii−i−iii−ii1-1−ii1-1−iiζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ211-1-1−i−iii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζζζζ−ζ−ζ−ζ−ζ−ζ5−ζ5−ζ5−ζ5ζ5ζ5ζ5ζ5−ζ3−ζ3ζ3ζ3ζ7ζ7−ζ7−ζ7ζζ−ζ−ζ−ζ5−ζ5ζ5ζ51-1−iiζ6−ζ6ζ2−ζ2
χ29111-1-11-1-1−ii−i−iii−ii1-1−ii1-1−ii−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ211-1-1−i−iiiζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζζζζ−ζ−ζ−ζ−ζζ7ζ7−ζ7−ζ7ζ3ζ3−ζ3−ζ3ζ5ζ5−ζ5−ζ5ζζ−ζ−ζ1-1−ii−ζ6ζ6−ζ2ζ2
χ30111-1-11-1-1−ii−i−iii−ii1-1−ii1-1−ii−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ211-1-1−i−iiiζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ5ζ5ζ5ζ5−ζ5−ζ5−ζ5−ζ5ζζζζ−ζ−ζ−ζ−ζ−ζ7−ζ7ζ7ζ7−ζ3−ζ3ζ3ζ3−ζ5−ζ5ζ5ζ5−ζ−ζζζ-11i−iζ6−ζ6ζ2−ζ2
χ31111-1-11-1-1−ii−i−iii−ii1-1−ii1-1−ii−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ211-1-1−i−iii−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ5−ζ5−ζ5−ζ5ζ5ζ5ζ5ζ5−ζ−ζ−ζ−ζζζζζζ7ζ7−ζ7−ζ7ζ3ζ3−ζ3−ζ3ζ5ζ5−ζ5−ζ5ζζ−ζ−ζ-11i−iζ6−ζ6ζ2−ζ2
χ32111-1-11-1-1−ii−i−iii−ii1-1−ii1-1−ii−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ211-1-1−i−iii−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ5−ζ5−ζ5−ζ5ζ5ζ5ζ5ζ5−ζ−ζ−ζ−ζζζζζ−ζ7−ζ7ζ7ζ7−ζ3−ζ3ζ3ζ3−ζ5−ζ5ζ5ζ5−ζ−ζζζ1-1−ii−ζ6ζ6−ζ2ζ2
χ332222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2222200000000000000002222-2-2-2-20000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2222200000000000000002222-2-2-2-200000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-222-2-222-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-222-2-222-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-222-2-2222i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i000000001+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-222-2-2222i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i00000000−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-222-2-222−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000001−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-222-2-222−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i00000000−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i000000000000000000000000
χ45222-2-22-2-22i−2i2i2i−2i−2i2i−2i2-22i−2i2-22i−2i2ζ2−2ζ22ζ6−2ζ6−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6-2-222−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.