Finite Group Databasebeta

← Group #206479

Character table — Group #206479

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12224444222222444444444444448888888888888888444488888888888888888888888888888888888888882222444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1
χ91111111111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-1
χ101111111111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111
χ111111111111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-111
χ121111111111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-11111-1-1
χ131111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-111-1-111
χ141111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-1111-1-111-1-1
χ151111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111-1-11-1-11111-1-1
χ161111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-111
χ171111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111-1-1-1-11i−ii−ii−ii−i
χ181111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-11111-1−ii−ii−ii−ii
χ191111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-11-1-11-1i−ii−i−ii−ii
χ201111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-11-111-11−ii−iii−ii−i
χ211111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111-1-1-1-11−ii−ii−ii−ii
χ221111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-11111-1i−ii−ii−ii−i
χ231111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-11-1-11-1−ii−iii−ii−i
χ241111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-11-111-11i−ii−i−ii−ii
χ251111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-111-11-1-1i−i−iii−i−ii
χ261111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-1-11-111−iii−i−iii−i
χ271111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-1-1-1111i−i−ii−iii−i
χ281111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-11111-1-1-1−iii−ii−i−ii
χ291111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-111-11-1-1−iii−i−iii−i
χ301111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-1-11-111i−i−iii−i−ii
χ311111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-1-1-1111−iii−ii−i−ii
χ321111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-11111-1-1-1i−i−ii−iii−i
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χ3422222222222222-2-2-2-22222-2-2-2-2220000000000000000-2-2-2-200000000-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ352222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000000000000022220000000022-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ362222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000000000000000222200000000-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ3722222222-2-222-2-222-2-2-2-22222-2-2-2-200000000000000002-22-200000000000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ3822222222-2-222-2-222-2-2-2-22222-2-2-2-200000000000000002-22-2000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ3922222222-2-222-2-2-2-222-2-222-2-222-2-22222-2-2-2-22222-2-2-2-2-22-2222-2-222-2-2000000000000000000000000000000000000000000000000
χ4022222222-2-222-2-2-2-222-2-222-2-222-2-2-2-2-2-22222-2-2-2-22222-22-22-2-222-2-222000000000000000000000000000000000000000000000000
χ4122222222-2-2-2-22222-2-222-2-222-2-2-2-20000000000000000-22-2200000000000000000000000022-2-222-2-2-2-222-2-2220000000000000000
χ4222222222-2-2-2-22222-2-222-2-222-2-2-2-20000000000000000-22-22000000000000000000000000-2-222-2-22222-2-222-2-20000000000000000
χ4322222222-2-2-2-222-2-22222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-22-22-2-2-222-2-222000000000000000000000000000000000000000000000000
χ4422222222-2-2-2-222-2-22222-2-2-2-222-2-2-2-2-2-22222-2-2-2-222222-22-222-2-222-2-2000000000000000000000000000000000000000000000000
χ452222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-200000000000000002-2-220000000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ462222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-200000000000000002-2-22000000000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ472222-2-2-2-2222222-2-222-2-2-2-222-2-2-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-222-22i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ482222-2-2-2-2222222-2-222-2-2-2-222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-222-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ492222-2-2-2-222-2-2-2-222-2-22222-2-222-2-20000000000000000-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ502222-2-2-2-222-2-2-2-222-2-22222-2-222-2-20000000000000000-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ512222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ522222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2-2-222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ532222-2-2-2-2-2-222-2-2-2-2-2-222-2-22222220000000000000000-2-2220000000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ542222-2-2-2-2-2-222-2-2-2-2-2-222-2-22222220000000000000000-2-22200000000-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ552222-2-2-2-2-2-2-2-222-2-2-2-2-2-222222222000000000000000022-2-20000000022-2-2-2-222-2-22222-2-200000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-222-2-2-2-2-2-222222222000000000000000022-2-200000000-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ572-2-2222-2-22-22-22-200002-22-200002-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000i2−i2i2−i2i2−i2i2−i2002-2002-2002-2002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ582-2-2222-2-22-22-22-200002-22-200002-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000i2−i2i2−i2i2−i2i2−i200-2200-2200-2200-22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ592-2-2222-2-22-22-22-200002-22-200002-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000−i2i2−i2i2−i2i2−i2i2002-2002-2002-2002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ602-2-2222-2-22-22-22-200002-22-200002-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000−i2i2−i2i2−i2i2−i2i200-2200-2200-2200-22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
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χ622-2-2222-2-22-2-22-220000-22-2200002-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000−i2i2−i2i2−i2i2−i2i200-2200-22002-2002-2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
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χ672-2-2222-2-2-222-2-220000-222-20000-22−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000−i2i2i2−i2−i2i2i2−i22-2002-2002-2002-200−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ682-2-2222-2-2-222-2-220000-222-20000-22−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000−i2i2i2−i2−i2i2i2−i2-2200-2200-2200-2200i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ692-2-2222-2-2-22-222-200002-2-220000-22i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000−i2i2i2−i2−i2i2i2−i22-2002-200-2200-2200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ702-2-2222-2-2-22-222-200002-2-220000-22i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000−i2i2i2−i2−i2i2i2−i2-2200-22002-2002-200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ712-2-2222-2-2-22-222-200002-2-220000-22−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000i2−i2−i2i2i2−i2−i2i22-2002-200-2200-2200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ722-2-2222-2-2-22-222-200002-2-220000-22−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000i2−i2−i2i2i2−i2−i2i2-2200-22002-2002-200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ732-2-22-2-2222-22-22-20000-22-220000-2222−2−2−2−222−2−22222−2−200002−2−22−222−22-200-22002-200-22002−2−22−222−22−2−22−222−20000000000000000
χ742-2-22-2-2222-22-22-20000-22-220000-2222−2−2−2−222−2−22222−2−200002−2−22−222−2-22002-200-22002-200−222−22−2−22−222−22−2−220000000000000000
χ752-2-22-2-2222-22-22-20000-22-220000-22−2−22222−2−222−2−2−2−2220000−222−22−2−222-200-22002-200-2200−222−22−2−22−222−22−2−220000000000000000
χ762-2-22-2-2222-22-22-20000-22-220000-22−2−22222−2−222−2−2−2−2220000−222−22−2−22-22002-200-22002-2002−2−22−222−22−2−22−222−20000000000000000
χ772-2-22-2-2222-2-22-2200002-22-20000-2222−2−2−2−222−2−22222−2−20000−222−22−2−222-200-2200-22002-2002−2−22−222−2−222−22−2−220000000000000000
χ782-2-22-2-2222-2-22-2200002-22-20000-2222−2−2−2−222−2−22222−2−20000−222−22−2−22-22002-2002-200-2200−222−22−2−222−2−22−222−20000000000000000
χ792-2-22-2-2222-2-22-2200002-22-20000-22−2−22222−2−222−2−2−2−22200002−2−22−222−22-200-2200-22002-200−222−22−2−222−2−22−222−20000000000000000
χ802-2-22-2-2222-2-22-2200002-22-20000-22−2−22222−2−222−2−2−2−22200002−2−22−222−2-22002-2002-200-22002−2−22−222−2−222−22−2−220000000000000000
χ812-2-22-2-222-222-2-2200002-2-2200002-222−2−222−2−2−2−222−2−22200002−22−2−22−22002-200-22002-200-222−22−2−22−222−22−2−22−220000000000000000
χ822-2-22-2-222-222-2-2200002-2-2200002-222−2−222−2−2−2−222−2−22200002−22−2−22−2200-22002-200-22002-2−22−222−22−2−22−222−22−20000000000000000
χ832-2-22-2-222-222-2-2200002-2-2200002-2−2−222−2−22222−2−222−2−20000−22−222−22−2002-200-22002-200-22−22−222−22−2−22−222−22−20000000000000000
χ842-2-22-2-222-222-2-2200002-2-2200002-2−2−222−2−22222−2−222−2−20000−22−222−22−200-22002-200-22002-22−22−2−22−222−22−2−22−220000000000000000
χ852-2-22-2-222-22-222-20000-222-200002-222−2−222−2−2−2−222−2−2220000−22−222−22−2002-200-2200-22002-22−22−2−22−22−22−222−22−20000000000000000
χ862-2-22-2-222-22-222-20000-222-200002-222−2−222−2−2−2−222−2−2220000−22−222−22−200-22002-2002-200-22−22−222−22−22−22−2−22−220000000000000000
χ872-2-22-2-222-22-222-20000-222-200002-2−2−222−2−22222−2−222−2−200002−22−2−22−22002-200-2200-22002-2−22−222−22−22−22−2−22−220000000000000000
χ882-2-22-2-222-22-222-20000-222-200002-2−2−222−2−22222−2−222−2−200002−22−2−22−2200-22002-2002-200-222−22−2−22−22−22−222−22−20000000000000000
χ8944-4-44i−4i4i−4i000000004-40000004i−4i0000004ζ3−4ζ34ζ3−4ζ300004ζ−4ζ4ζ−4ζ000000000000000000000000000000000000000000000000000000000000
χ9044-4-44i−4i4i−4i000000004-40000004i−4i000000−4ζ34ζ3−4ζ34ζ30000−4ζ4ζ−4ζ4ζ000000000000000000000000000000000000000000000000000000000000
χ9144-4-44i−4i4i−4i00000000-44000000−4i4i004ζ3−4ζ34ζ3−4ζ300004ζ−4ζ4ζ−4ζ0000000000000000000000000000000000000000000000000000000000000000
χ9244-4-44i−4i4i−4i00000000-44000000−4i4i00−4ζ34ζ3−4ζ34ζ30000−4ζ4ζ−4ζ4ζ0000000000000000000000000000000000000000000000000000000000000000
χ9344-4-4−4i4i−4i4i000000004-4000000−4i4i0000004ζ−4ζ4ζ−4ζ00004ζ3−4ζ34ζ3−4ζ3000000000000000000000000000000000000000000000000000000000000
χ9444-4-4−4i4i−4i4i000000004-4000000−4i4i000000−4ζ4ζ−4ζ4ζ0000−4ζ34ζ3−4ζ34ζ3000000000000000000000000000000000000000000000000000000000000
χ9544-4-4−4i4i−4i4i00000000-440000004i−4i004ζ−4ζ4ζ−4ζ00004ζ3−4ζ34ζ3−4ζ30000000000000000000000000000000000000000000000000000000000000000
χ9644-4-4−4i4i−4i4i00000000-440000004i−4i00−4ζ4ζ−4ζ4ζ0000−4ζ34ζ3−4ζ34ζ30000000000000000000000000000000000000000000000000000000000000000
χ974-44-44i−4i−4i4i0000004-40000004i−4i00002+2i−2−2i−2−2i2+2i2+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i2−2i−2+2i−2+2i2−2i000000000000000000000000000000000000000000000000000000000000
χ984-44-44i−4i−4i4i0000004-40000004i−4i0000−2−2i2+2i2+2i−2−2i−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i−2+2i2−2i2−2i−2+2i000000000000000000000000000000000000000000000000000000000000
χ994-44-44i−4i−4i4i000000-44000000−4i4i00002+2i−2−2i−2−2i2+2i−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i−2+2i2−2i2−2i−2+2i000000000000000000000000000000000000000000000000000000000000
χ1004-44-44i−4i−4i4i000000-44000000−4i4i0000−2−2i2+2i2+2i−2−2i2+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i2−2i−2+2i−2+2i2−2i000000000000000000000000000000000000000000000000000000000000
χ1014-44-4−4i4i4i−4i0000004-4000000−4i4i00002−2i−2+2i−2+2i2−2i2−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i2+2i−2−2i−2−2i2+2i000000000000000000000000000000000000000000000000000000000000
χ1024-44-4−4i4i4i−4i0000004-4000000−4i4i0000−2+2i2−2i2−2i−2+2i−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i−2−2i2+2i2+2i−2−2i000000000000000000000000000000000000000000000000000000000000
χ1034-44-4−4i4i4i−4i000000-440000004i−4i00002−2i−2+2i−2+2i2−2i−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i−2−2i2+2i2+2i−2−2i000000000000000000000000000000000000000000000000000000000000
χ1044-44-4−4i4i4i−4i000000-440000004i−4i0000−2+2i2−2i2−2i−2+2i2−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i2+2i−2−2i−2−2i2+2i000000000000000000000000000000000000000000000000000000000000

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