Finite Group Databasebeta

← Group #367672

Character table — Group #367672

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111111111111111111111444444444444444444444444888888888888888888888888888888888888888888888888
order12222222222222224444444444444444444444448888888888888888224444444444444444444444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ1111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-111-1-111-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ181111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ191111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-1-1-11111-1-111-1-111ii−i−i−i−iii−i−iii−i−iiiii−i−i−i−iii
χ201111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111-1-11111-1-111-1-11111-1-1−i−iiiii−i−i−i−iii−i−iii−i−iiiii−i−i
χ211111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-111-1-111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ231111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-1-1-11111-1-111-1-111−i−iiiii−i−iii−i−iii−i−i−i−iiiii−i−i
χ241111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111-1-11111-1-111-1-11111-1-1ii−i−i−i−iiiii−i−iii−i−iii−i−i−i−iii
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111-1-111ii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-11111-1-1-1-111-1-1-1-11111-1-1−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-111-1-1111111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111-1-111−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-11111-1-1-1-111-1-1-1-11111-1-1ii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iii
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-111-1-1111111-1-111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ332222-2-2-2222-2-2-2-22-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i00000000000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3000000000000000000002i−2i2-200002ζ3−2ζ32ζ−2ζ0000000000000000
χ342222-2-2-2222-2-2-2-22-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i00000000000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ300000000000000000000−2i2i-220000−2ζ32ζ3−2ζ2ζ0000000000000000
χ352222-2-2-2222-2-2-2-22-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i0000000000000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000000000000000000002i−2i2-20000−2ζ32ζ3−2ζ2ζ0000000000000000
χ362222-2-2-2222-2-2-2-22-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i0000000000000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ300000000000000000000−2i2i-2200002ζ3−2ζ32ζ−2ζ0000000000000000
χ372222-2-2-2222-2-2-2-22-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i00000000000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ000000000000000000002i−2i-220000−2ζ2ζ−2ζ32ζ30000000000000000
χ382222-2-2-2222-2-2-2-22-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i00000000000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00000000000000000000−2i2i2-200002ζ−2ζ2ζ3−2ζ30000000000000000
χ392222-2-2-2222-2-2-2-22-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i0000000000000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000000000000000000002i−2i-2200002ζ−2ζ2ζ3−2ζ30000000000000000
χ402222-2-2-2222-2-2-2-22-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i0000000000000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ00000000000000000000−2i2i2-20000−2ζ2ζ−2ζ32ζ30000000000000000
χ4122-2-222-222-22-2-2-2-222i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i00000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00000000002i−2i2-20000000000000000000000000000002ζ−2ζ2ζ3−2ζ3
χ4222-2-222-222-22-2-2-2-222i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i00000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000000000−2i2i-22000000000000000000000000000000−2ζ2ζ−2ζ32ζ3
χ4322-2-222-222-22-2-2-2-222i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i0000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00000000002i−2i2-2000000000000000000000000000000−2ζ2ζ−2ζ32ζ3
χ4422-2-222-222-22-2-2-2-222i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i0000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000000000−2i2i-220000000000000000000000000000002ζ−2ζ2ζ3−2ζ3
χ4522-2-222-222-22-2-2-2-22−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i00000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000000002i−2i-22000000000000000000000000000000−2ζ32ζ3−2ζ2ζ
χ4622-2-222-222-22-2-2-2-22−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i00000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000000000−2i2i2-20000000000000000000000000000002ζ3−2ζ32ζ−2ζ
χ4722-2-222-222-22-2-2-2-22−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i0000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000000002i−2i-220000000000000000000000000000002ζ3−2ζ32ζ−2ζ
χ4822-2-222-222-22-2-2-2-22−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i0000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000000000−2i2i2-2000000000000000000000000000000−2ζ32ζ3−2ζ2ζ
χ4922-2-2-2-2222-2-2222-2-22-2-2222-2-2-2-2222-2-222i2i−2i−2i2i2i−2i−2i22-2-222-2-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ5022-2-2-2-2222-2-2222-2-22-2-2222-2-2-2-2222-2-222i2i−2i−2i2i2i−2i−2i-2-222-2-222−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ5122-2-2-2-2222-2-2222-2-22-2-2222-2-2-2-2222-2-22−2i−2i2i2i−2i−2i2i2i22-2-222-2-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ5222-2-2-2-2222-2-2222-2-22-2-2222-2-2-2-2222-2-22−2i−2i2i2i−2i−2i2i2i-2-222-2-2222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ5322-2-2-2-2222-2-2222-2-2-222-2-2-22222-2-2-222-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-222-2-222-2000000000000000000000000000000000000000000000000
χ5422-2-2-2-2222-2-2222-2-2-222-2-2-22222-2-2-222-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2-2-222-2-22000000000000000000000000000000000000000000000000
χ5522-2-2-2-2222-2-2222-2-2-222-2-2-22222-2-2-222-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2-2-222-2-22000000000000000000000000000000000000000000000000
χ5622-2-2-2-2222-2-2222-2-2-222-2-2-22222-2-2-222-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-222-2-222-2000000000000000000000000000000000000000000000000
χ572-22-22-2-22-2222-22-2-22-2-222-22-22-22-2-222-2000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i2i−2i00000000000000002-22-200000000
χ582-22-22-2-22-2222-22-2-22-2-222-22-22-22-2-222-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000−2i2i−2i2i0000000000000000-22-2200000000
χ592-22-22-2-22-2222-22-2-22-2-222-22-22-22-2-222-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000002i−2i2i−2i0000000000000000-22-2200000000
χ602-22-22-2-22-2222-22-2-22-2-222-22-22-22-2-222-200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i−2i2i00000000000000002-22-200000000
χ612-22-22-2-22-2222-22-2-2-222-2-22-22-22-222-2-22000000002-22-2-22-220000000000000000000000002i−2i−2i2i0000000000000000−2i2i2i−2i00000000
χ622-22-22-2-22-2222-22-2-2-222-2-22-22-22-222-2-22000000002-22-2-22-22000000000000000000000000−2i2i2i−2i00000000000000002i−2i−2i2i00000000
χ632-22-22-2-22-2222-22-2-2-222-2-22-22-22-222-2-2200000000-22-222-22-20000000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
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χ662-22-22-2-2-22-2-2-222222222-222-22-2-22-2-2-2-22-22-22-22-20000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000
χ672-22-22-2-2-22-2-2-222222222-222-22-2-22-2-2-2-2-22-22-22-2200000000000000000000000000000000000000002i−2i2i−2i000000000000−2i2i−2i2i0000
χ682-22-22-2-2-22-2-2-222222222-222-22-2-22-2-2-2-2-22-22-22-220000000000000000000000000000000000000000−2i2i−2i2i0000000000002i−2i2i−2i0000
χ692-22-22-2-2-22-2-2-22222-2-2-2-22-2-22-222-222222-22-2-22-2200000000000000000000000000000000000000002-2-220000000000002-2-220000
χ702-22-22-2-2-22-2-2-22222-2-2-2-22-2-22-222-222222-22-2-22-220000000000000000000000000000000000000000-222-2000000000000-222-20000
χ712-22-22-2-2-22-2-2-22222-2-2-2-22-2-22-222-22222-22-222-22-200000000000000000000000000000000000000002-2-22000000000000-222-20000
χ722-22-22-2-2-22-2-2-22222-2-2-2-22-2-22-222-22222-22-222-22-20000000000000000000000000000000000000000-222-20000000000002-2-220000
χ732-2-22-22-22-2-2-22-222222222-2-22-222-2-2-2-2-2000000002i−2i−2i2i2i−2i−2i2i000000002-20000000000002-200000000000000002i−2i2i−2i000000000000
χ742-2-22-22-22-2-2-22-222222222-2-22-222-2-2-2-2-2000000002i−2i−2i2i2i−2i−2i2i00000000-22000000000000-220000000000000000−2i2i−2i2i000000000000
χ752-2-22-22-22-2-2-22-222222222-2-22-222-2-2-2-2-200000000−2i2i2i−2i−2i2i2i−2i000000002-20000000000002-20000000000000000−2i2i−2i2i000000000000
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χ772-2-22-22-22-2-2-22-2222-2-2-2-2-222-22-2-222222000000002-2-22-222-2000000002-2000000000000-2200000000000000002-2-22000000000000
χ782-2-22-22-22-2-2-22-2222-2-2-2-2-222-22-2-222222000000002-2-22-222-200000000-220000000000002-20000000000000000-222-2000000000000
χ792-2-22-22-22-2-2-22-2222-2-2-2-2-222-22-2-22222200000000-222-22-2-22000000002-2000000000000-220000000000000000-222-2000000000000
χ802-2-22-22-22-2-2-22-2222-2-2-2-2-222-22-2-22222200000000-222-22-2-2200000000-220000000000002-200000000000000002-2-22000000000000
χ812-2-22-22-2-2222-222-2-22-2-22-22-22-22-22-222-22i−2i−2i2i2i−2i−2i2i0000000000000000002-22-22i−2i2i−2i00000000000000000000000000000000000000
χ822-2-22-22-2-2222-222-2-22-2-22-22-22-22-22-222-22i−2i−2i2i2i−2i−2i2i000000000000000000-22-22−2i2i−2i2i00000000000000000000000000000000000000
χ832-2-22-22-2-2222-222-2-22-2-22-22-22-22-22-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000002-22-2−2i2i−2i2i00000000000000000000000000000000000000
χ842-2-22-22-2-2222-222-2-22-2-22-22-22-22-22-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000-22-222i−2i2i−2i00000000000000000000000000000000000000
χ852-2-22-22-2-2222-222-2-2-222-22-22-22-22-22-2-222i−2i−2i2i−2i2i2i−2i0000000000000000002-2-222i−2i−2i2i00000000000000000000000000000000000000
χ862-2-22-22-2-2222-222-2-2-222-22-22-22-22-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000-222-2−2i2i2i−2i00000000000000000000000000000000000000
χ872-2-22-22-2-2222-222-2-2-222-22-22-22-22-22-2-22−2i2i2i−2i2i−2i−2i2i0000000000000000002-2-22−2i2i2i−2i00000000000000000000000000000000000000
χ882-2-22-22-2-2222-222-2-2-222-22-22-22-22-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000-222-22i−2i−2i2i00000000000000000000000000000000000000
χ894444444-4-4-4-4-4-44-4-44-4-44-4-44444-4-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ904444444-4-4-4-4-4-44-4-4-444-444-4-4-4-444-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ914444-4-4-4-4-4-4444-4-444i−4i4i−4i−4i−4i4i4i−4i−4i4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ924444-4-4-4-4-4-4444-4-44−4i4i−4i4i4i4i−4i−4i4i4i−4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-4-444-4-4-44-444-44-44i4i−4i−4i−4i−4i−4i−4i4i4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ9444-4-444-4-4-44-444-44-4−4i−4i4i4i4i4i4i4i−4i−4i−4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-4-4-4-44-4-444-4-44444444-4-4-4-4-4-4-4-44444000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-4-4-44-4-444-4-4444-4-4-4-444444444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-4-4444-44-4-44-4-444i−4i4i−4i4i−4i4i−4i−4i4i−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-4444-44-4-44-4-44−4i4i−4i4i−4i4i−4i4i4i−4i4i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ994-44-4-444-44-444-4-44-44i4i−4i−4i−4i4i4i−4i−4i4i4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-4-444-44-444-4-44-4−4i−4i4i4i4i−4i−4i4i4i−4i−4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-444-444-4-44-44-44-44i4i−4i−4i4i−4i−4i4i4i−4i−4i4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-444-444-4-44-44-44-4−4i−4i4i4i−4i4i4i−4i−4i4i4i−4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-44-444-44-4-4-444i−4i4i−4i−4i4i−4i4i4i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-444-44-444-44-4-4-44−4i4i−4i4i4i−4i4i−4i−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000

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