Finite Group Databasebeta

← Group #140708

Character table — Group #140708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12224444888888882244444488888888888888888888888844888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161624448888
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
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111
χ1211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111
χ171111-1-1-1-1iiii−i−i−i−i-1-11111-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i1-1i−i11-1-1ii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-11-1i−ii−i
χ181111-1-1-1-1iiii−i−i−i−i-1-11111-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i1-1i−i11-1-1ii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11-11−ii−ii
χ191111-1-1-1-1iiii−i−i−i−i-1-11111-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i1-1i−i11-1-1ii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11-11−ii−ii
χ201111-1-1-1-1iiii−i−i−i−i-1-11111-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i1-1i−i11-1-1ii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-11-1i−ii−i
χ211111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i1-1i−i-1-111−i−iiiζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1-11i−i−ii
χ221111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i1-1i−i-1-111−i−iiiζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-111-1−iii−i
χ231111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i1-1i−i-1-111−i−iii−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-111-1−iii−i
χ241111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i1-1i−i-1-111−i−iii−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1-11i−i−ii
χ251111-1-1-1-1−i−i−i−iiiii-1-11111-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii1-1−ii11-1-1−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-11-1−ii−ii
χ261111-1-1-1-1−i−i−i−iiiii-1-11111-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii1-1−ii11-1-1−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11-11i−ii−i
χ271111-1-1-1-1−i−i−i−iiiii-1-11111-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii1-1−ii11-1-1−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11-11i−ii−i
χ281111-1-1-1-1−i−i−i−iiiii-1-11111-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii1-1−ii11-1-1−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-11-1−ii−ii
χ291111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii1-1−ii-1-111ii−i−iζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1-11−iii−i
χ301111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii1-1−ii-1-111ii−i−iζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-111-1i−i−ii
χ311111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii1-1−ii-1-111ii−i−i−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-111-1i−i−ii
χ321111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii1-1−ii-1-111ii−i−i−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1-11−iii−i
χ3322222222222222222222-2-2-2-20000000000000000-2-2-2-22222-2-2-2-20000000022-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ3422222222222222222222-2-2-2-20000000000000000-2-2-2-22222-2-2-2-200000000-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-222220000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-22222000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-2-2-222000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-2-2-22200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2222222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222222222-2-200000000000000000000000022-2-222-2-2-2-222-2-222000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222222222-2-2000000000000000000000000-2-222-2-22222-2-222-2-2000000000000000000000000
χ452222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-222-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i-22−2i2i-2-222−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ462222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-222-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i-22−2i2i22-2-22i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ472222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-2-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i2-22i−2i0000000000000000000000002ζ62ζ6−2ζ6−2ζ6−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ22ζ22ζ2−2ζ2−2ζ2000000000000000000000000
χ482222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-2-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i2-22i−2i000000000000000000000000−2ζ6−2ζ62ζ62ζ62ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2−2ζ2−2ζ22ζ22ζ2000000000000000000000000
χ492222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-222-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i-22−2i2i000000002ζ22ζ2−2ζ2−2ζ2−2ζ2−2ζ22ζ22ζ22ζ62ζ6−2ζ6−2ζ6−2ζ6−2ζ62ζ62ζ60000000000000000000000000000000000000000
χ502222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-222-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i-22−2i2i00000000−2ζ2−2ζ22ζ22ζ22ζ22ζ2−2ζ2−2ζ2−2ζ6−2ζ62ζ62ζ62ζ62ζ6−2ζ6−2ζ60000000000000000000000000000000000000000
χ512222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-222-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i2i2i−2i−2i-222i−2i-2-2222i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ522222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-222-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i-222i−2i22-2-2−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ532222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-2-2-22200000000000000002i2i−2i−2i2i2i−2i−2i2-2−2i2i0000000000000000000000002ζ22ζ2−2ζ2−2ζ2−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ62ζ62ζ6−2ζ6−2ζ6000000000000000000000000
χ542222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-2-2-22200000000000000002i2i−2i−2i2i2i−2i−2i2-2−2i2i000000000000000000000000−2ζ2−2ζ22ζ22ζ22ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6−2ζ6−2ζ62ζ62ζ6000000000000000000000000
χ552222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-222-2-22200000000000000002i2i−2i−2i−2i−2i2i2i-222i−2i000000002ζ62ζ6−2ζ6−2ζ6−2ζ6−2ζ62ζ62ζ62ζ22ζ2−2ζ2−2ζ2−2ζ2−2ζ22ζ22ζ20000000000000000000000000000000000000000
χ562222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-222-2-22200000000000000002i2i−2i−2i−2i−2i2i2i-222i−2i00000000−2ζ6−2ζ62ζ62ζ62ζ62ζ6−2ζ6−2ζ6−2ζ2−2ζ22ζ22ζ22ζ22ζ2−2ζ2−2ζ20000000000000000000000000000000000000000
χ5722-2-222-2-222-2-222-2-22-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002-22-20000i2−i2i2−i2i2−i2i2−i2002i−2i002i−2i002i−2i002i−2i2−22−22−22−22−22−22−22−2000000000000000000000000
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χ1094-4-444i−4i−4i4i4ζ2−4ζ2−4ζ24ζ24ζ6−4ζ6−4ζ64ζ6000000002i2−2i2−2i22i2−222222−22−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-4-444i−4i−4i4i4ζ2−4ζ2−4ζ24ζ24ζ6−4ζ6−4ζ64ζ600000000−2i22i22i2−2i222−22−22222−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-444i−4i−4i4i−4ζ24ζ24ζ2−4ζ2−4ζ64ζ64ζ6−4ζ6000000002i2−2i2−2i22i2−222222−222−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-444i−4i−4i4i−4ζ24ζ24ζ2−4ζ2−4ζ64ζ64ζ6−4ζ600000000−2i22i22i2−2i222−22−2222−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44−4i4i4i−4i4ζ6−4ζ6−4ζ64ζ64ζ2−4ζ2−4ζ24ζ2000000002i2−2i2−2i22i222−22−2222−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44−4i4i4i−4i4ζ6−4ζ6−4ζ64ζ64ζ2−4ζ2−4ζ24ζ200000000−2i22i22i2−2i2−222222−222+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-44−4i4i4i−4i−4ζ64ζ64ζ6−4ζ6−4ζ24ζ24ζ2−4ζ2000000002i2−2i2−2i22i222−22−22222+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-44−4i4i4i−4i−4ζ64ζ64ζ6−4ζ6−4ζ24ζ24ζ2−4ζ200000000−2i22i22i2−2i2−222222−22−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i0000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.