Finite Group Databasebeta

← Group #96913

Character table — Group #96913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order12222222222222222222222244444444444444444444444444444444444444444444444488888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i
χ91111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ121111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ171111111-1-1-1-1-1-1-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1ζζ−ζ−ζζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζζ−ζ−ζζζ−ζ−ζ
χ181111111-1-1-1-1-1-1-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1−ζ−ζζζ−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ−ζζζ
χ191111111-1-1-1-1-1-1-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1−i−iii−i−iii-1-111-1-111ζζ−ζ−ζζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ−ζζζ
χ201111111-1-1-1-1-1-1-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1−i−iii−i−iii-1-111-1-111−ζ−ζζζ−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζζ−ζ−ζζζ−ζ−ζ
χ211111111-1-1-1-1-1-1-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1ii−i−iii−i−i-1-111-1-111ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζζ−ζ−ζζζ−ζ−ζ−ζ−ζζζ−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3
χ221111111-1-1-1-1-1-1-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1ii−i−iii−i−i-1-111-1-111−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ−ζζζζζ−ζ−ζζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3
χ231111111-1-1-1-1-1-1-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii11-1-111-1-1ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζζ−ζ−ζζζ−ζ−ζζζ−ζ−ζζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3
χ241111111-1-1-1-1-1-1-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ−ζζζ−ζ−ζζζ−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3
χ251111111-1-1-1-1-1-1-1-11-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111ζζ−ζ−ζ−ζ−ζζζζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζζ−ζ−ζ−ζ−ζζζ
χ261111111-1-1-1-1-1-1-1-11-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111−ζ−ζζζζζ−ζ−ζ−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ−ζζζζζ−ζ−ζ
χ271111111-1-1-1-1-1-1-1-11-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1ζζ−ζ−ζ−ζ−ζζζζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ−ζζζζζ−ζ−ζ
χ281111111-1-1-1-1-1-1-1-11-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1−ζ−ζζζζζ−ζ−ζ−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζζ−ζ−ζ−ζ−ζζζ
χ291111111-1-1-1-1-1-1-1-11-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζζ−ζ−ζ−ζ−ζζζ−ζ−ζζζζζ−ζ−ζ−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3
χ301111111-1-1-1-1-1-1-1-11-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ−ζζζζζ−ζ−ζζζ−ζ−ζ−ζ−ζζζζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3
χ311111111-1-1-1-1-1-1-1-11-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζζ−ζ−ζ−ζ−ζζζζζ−ζ−ζ−ζ−ζζζζ3ζ3−ζ3−ζ3−ζ3−ζ3ζ3ζ3
χ321111111-1-1-1-1-1-1-1-11-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ−ζζζζζ−ζ−ζ−ζ−ζζζζζ−ζ−ζ−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ3−ζ3
χ3322222222222222222222222222-2-222-2-222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-222-2-222-2-222-2-222-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-2-2-222-2-222-2-2-2-22222000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-22222-2-222-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
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χ382222222-2-2-2-2-2-2-2-222222-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-2-222-2-222000000000000000000000000000000000000000000000000
χ392222222-2-2-2-2-2-2-2-22-2-2-2-222222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-2-22222-2-2000000000000000000000000000000000000000000000000
χ402222222-2-2-2-2-2-2-2-22-2-2-2-22222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000000000000000000000000000000000000000000000
χ412222-2-2-2222-2-22-2-2-222-2-222-2-20022002200-2-200-2-2002-2002-20000000000000000000000002−22−22−22−22−22−22−22−20000000000000000
χ422222-2-2-2222-2-22-2-2-222-2-222-2-20022002200-2-200-2-2002-2002-2000000000000000000000000−22−22−22−22−22−22−22−220000000000000000
χ432222-2-2-2222-2-22-2-2-222-2-222-2-200-2-200-2-20022002200-2200-22000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ442222-2-2-2222-2-22-2-2-222-2-222-2-200-2-200-2-20022002200-2200-22000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ452222-2-2-2222-2-22-2-2-2-2-222-2-2220022002200-2-200-2-200-2200-220000000000000000000000002−22−2−22−222−22−2−22−220000000000000000
χ462222-2-2-2222-2-22-2-2-2-2-222-2-2220022002200-2-200-2-200-2200-22000000000000000000000000−22−222−22−2−22−222−22−20000000000000000
χ472222-2-2-2222-2-22-2-2-2-2-222-2-22200-2-200-2-200220022002-2002-2000000000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ482222-2-2-2222-2-22-2-2-2-2-222-2-22200-2-200-2-200220022002-2002-2000000000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
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χ522222-2-2-2-2-2-222-222-222-2-2-2-22200−2i−2i002i2i002i2i00−2i−2i00−2i2i002i−2i000000000000000000000000−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i0000000000000000
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χ5722-2-222-222-22-2-22-2-22-22-22-22-222002200-2-200-2-2002-2002-20000000000000000000000000000000000000000002−22−22−22−22−22−22−22−2
χ5822-2-222-222-22-2-22-2-22-22-22-22-222002200-2-200-2-2002-2002-2000000000000000000000000000000000000000000−22−22−22−22−22−22−22−22
χ5922-2-222-222-22-2-22-2-22-22-22-22-2-2-200-2-20022002200-2200-22000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2
χ6022-2-222-222-22-2-22-2-22-22-22-22-2-2-200-2-20022002200-2200-22000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2
χ6122-2-222-222-22-2-22-2-2-22-22-22-2222002200-2-200-2-200-2200-220000000000000000000000000000000000000000002−22−2−22−222−22−2−22−22
χ6222-2-222-222-22-2-22-2-2-22-22-22-2222002200-2-200-2-200-2200-22000000000000000000000000000000000000000000−22−222−22−2−22−222−22−2
χ6322-2-222-222-22-2-22-2-2-22-22-22-22-2-200-2-200220022002-2002-2000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2
χ6422-2-222-222-22-2-22-2-2-22-22-22-22-2-200-2-200220022002-2002-2000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2
χ6522-2-222-2-2-22-222-22-22-22-2-22-222i2i00−2i−2i00−2i−2i002i2i002i−2i00−2i2i0000000000000000000000000000000000000000001−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i
χ6622-2-222-2-2-22-222-22-22-22-2-22-222i2i00−2i−2i00−2i−2i002i2i002i−2i00−2i2i000000000000000000000000000000000000000000−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i
χ6722-2-222-2-2-22-222-22-22-22-2-22-22−2i−2i002i2i002i2i00−2i−2i00−2i2i002i−2i0000000000000000000000000000000000000000001+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i
χ6822-2-222-2-2-22-222-22-22-22-2-22-22−2i−2i002i2i002i2i00−2i−2i00−2i2i002i−2i000000000000000000000000000000000000000000−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i
χ6922-2-222-2-2-22-222-22-2-22-222-22-22i2i00−2i−2i00−2i−2i002i2i00−2i2i002i−2i0000000000000000000000000000000000000000001−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i
χ7022-2-222-2-2-22-222-22-2-22-222-22-22i2i00−2i−2i00−2i−2i002i2i00−2i2i002i−2i000000000000000000000000000000000000000000−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i
χ7122-2-222-2-2-22-222-22-2-22-222-22-2−2i−2i002i2i002i2i00−2i−2i002i−2i00−2i2i0000000000000000000000000000000000000000001+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i
χ7222-2-222-2-2-22-222-22-2-22-222-22-2−2i−2i002i2i002i2i00−2i−2i002i−2i00−2i2i000000000000000000000000000000000000000000−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i
χ732-22-22-2-22-2222-2-2-22000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000002-22-2000000002i−2i2i−2i00002-22-200000000000000000000000000000000
χ742-22-22-2-22-2222-2-2-22000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000002-22-200000000−2i2i−2i2i0000-22-2200000000000000000000000000000000
χ752-22-22-2-22-2222-2-2-22000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000-22-2200002i−2i2i−2i00002-22-2000000000000000000000000000000000000
χ762-22-22-2-22-2222-2-2-22000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000-22-220000−2i2i−2i2i0000-22-22000000000000000000000000000000000000
χ772-22-22-2-22-2222-2-2-2200000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000-22-2200002i−2i2i−2i0000-22-22000000000000000000000000000000000000
χ782-22-22-2-22-2222-2-2-2200000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000-22-220000−2i2i−2i2i00002-22-2000000000000000000000000000000000000
χ792-22-22-2-22-2222-2-2-2200000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000002-22-2000000002i−2i2i−2i0000-22-2200000000000000000000000000000000
χ802-22-22-2-22-2222-2-2-2200000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000002-22-200000000−2i2i−2i2i00002-22-200000000000000000000000000000000
χ812-22-22-2-2-22-2-2-22222000000002-22-2-22-222-22-2-22-22000000002-2-22000000002-2-2200002-2-2200000000000000000000000000000000
χ822-22-22-2-2-22-2-2-22222000000002-22-2-22-222-22-2-22-22000000002-2-2200000000-222-20000-222-200000000000000000000000000000000
χ832-22-22-2-2-22-2-2-22222000000002-2-22-222-22-2-22-222-200000000-222-200002-2-2200002-2-22000000000000000000000000000000000000
χ842-22-22-2-2-22-2-2-22222000000002-2-22-222-22-2-22-222-200000000-222-20000-222-20000-222-2000000000000000000000000000000000000
χ852-22-22-2-2-22-2-2-2222200000000-222-22-2-22-222-22-2-2200000000-222-200002-2-220000-222-2000000000000000000000000000000000000
χ862-22-22-2-2-22-2-2-2222200000000-222-22-2-22-222-22-2-2200000000-222-20000-222-200002-2-22000000000000000000000000000000000000
χ872-22-22-2-2-22-2-2-2222200000000-22-222-22-2-22-222-22-2000000002-2-22000000002-2-220000-222-200000000000000000000000000000000
χ882-22-22-2-2-22-2-2-2222200000000-22-222-22-2-22-222-22-2000000002-2-2200000000-222-200002-2-2200000000000000000000000000000000
χ8944-4-4-4-4444-4-44-4-4444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-4-4-4444-4-44-4-444-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-4-4-44-4-444-444-444-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-4-4-44-4-444-444-44-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-4-4444-44-4-4-444-400000000004i−4i004i−4i00−4i4i00−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ944-44-4-4444-44-4-4-444-40000000000−4i4i00−4i4i004i−4i004i−4i0000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-444-44-4444-4-4-400000000004-400-4400-44004-40000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-444-44-4444-4-4-40000000000-44004-4004-400-440000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-444-4-44-44-44-4000000004i−4i004i−4i00−4i4i00−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ984-4-444-444-4-44-44-44-400000000−4i4i00−4i4i004i−4i004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-44-444-44-44-4-4000000004-400-4400-44004-4000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-44-444-44-44-4-400000000-44004-4004-400-44000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-44-44-4-4-4444-440000000000000000000000000000000000004-44-4000000000000000000000000000000000000000000000000
χ1024-4-44-44-44-4-4-4444-44000000000000000000000000000000000000-44-44000000000000000000000000000000000000000000000000
χ1034-4-44-44-4-4444-4-4-4440000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ1044-4-44-44-4-4444-4-4-444000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.