Finite Group Databasebeta

← Group #206359

Character table — Group #206359

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12224444224444444444444444448888888888888888224444444444444444448888888888888888888888882244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-1
χ171111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-11-1-11-1i−ii−ii−ii−i
χ181111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-11-111-11−ii−ii−ii−ii
χ191111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-111111-1-11-11-11i−ii−i−ii−ii
χ201111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-111-11-11-1−ii−iii−ii−i
χ211111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-111111-1-11-11-11−ii−iii−ii−i
χ221111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-111-11-11-1i−ii−i−ii−ii
χ231111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-11-1-11-1−ii−ii−ii−ii
χ241111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-11-111-11i−ii−ii−ii−i
χ251111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-11-1-11i−i−iii−i−ii
χ261111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111-111-1−iii−i−iii−i
χ271111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1-1-1111-1i−i−ii−iii−i
χ281111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1111-1-1-11−iii−ii−i−ii
χ291111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1-1-1111-1−iii−ii−i−ii
χ301111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1111-1-1-11i−i−ii−iii−i
χ311111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-11-1-11−iii−i−iii−i
χ321111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111-111-1i−i−iii−i−ii
χ33222222222222-2-2-2-222222222-2-2-2-20000000000000000-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ34222222222222-2-2-2-222222222-2-2-2-20000000000000000-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ3722222222-2-2-2-222-2-222-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-22-2-22000000000000000022-2-222-2-200000000000000000000000000000000
χ3822222222-2-2-2-222-2-222-2-222-2-2-2-222-2-2-2-22222-2-2-2-222222-2-220000000000000000-2-222-2-22200000000000000000000000000000000
χ3922222222-2-2-2-222-2-2-2-222-2-222-2-2222222-2-2-2-22222-2-2-2-2-222-20000000000000000-2-222-2-22200000000000000000000000000000000
χ4022222222-2-2-2-222-2-2-2-222-2-222-2-222-2-2-2-22222-2-2-2-22222-222-2000000000000000022-2-222-2-200000000000000000000000000000000
χ4122222222-2-2-2-2-2-22222-2-222-2-222-2-20000000000000000-222-200000000000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ4222222222-2-2-2-2-2-22222-2-222-2-222-2-20000000000000000-222-2000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ4322222222-2-2-2-2-2-222-2-222-2-22222-2-200000000000000002-2-2200000000000000000000000022-2-222-2-2-2-222-2-2220000000000000000
χ4422222222-2-2-2-2-2-222-2-222-2-22222-2-200000000000000002-2-22000000000000000000000000-2-222-2-22222-2-222-2-20000000000000000
χ452222-2-2-2-222-2-2222222-2-2-2-222-2-2-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i22-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ462222-2-2-2-222-2-2222222-2-2-2-222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i22-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ472222-2-2-2-222-2-22222-2-22222-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ482222-2-2-2-222-2-22222-2-22222-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-22200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ492222-2-2-2-222-2-2-2-2-2-222-2-2-2-22222220000000000000000-2-22200000000000000000000000022-2-2-2-22222-2-2-2-2220000000000000000
χ502222-2-2-2-222-2-2-2-2-2-222-2-2-2-22222220000000000000000-2-222000000000000000000000000-2-22222-2-2-2-22222-2-20000000000000000
χ512222-2-2-2-222-2-2-2-2-2-2-2-22222-2-22222000000000000000022-2-200000000000000000000000022-2-2-2-222-2-22222-2-20000000000000000
χ522222-2-2-2-222-2-2-2-2-2-2-2-22222-2-22222000000000000000022-2-2000000000000000000000000-2-22222-2-222-2-2-2-2220000000000000000
χ532222-2-2-2-2-2-222-2-2222222-2-2-2-2-2-2220000000000000000-22-222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ542222-2-2-2-2-2-222-2-2222222-2-2-2-2-2-2220000000000000000-22-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ552222-2-2-2-2-2-222-2-222-2-2-2-22222-2-22200000000000000002-22-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ562222-2-2-2-2-2-222-2-222-2-2-2-22222-2-22200000000000000002-22-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ5722-2-222-2-22-22-200002i−2i2i−2i2i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000002i−2i002i−2i002-2002-22−22−22−22−22−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ5822-2-222-2-22-22-200002i−2i2i−2i2i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000−2i2i00−2i2i00-2200-222−22−22−22−2−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ5922-2-222-2-22-22-200002i−2i2i−2i2i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000002i−2i002i−2i002-2002-2−22−22−22−22−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ6022-2-222-2-22-22-200002i−2i2i−2i2i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000−2i2i00−2i2i00-2200-22−22−22−22−222−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ6122-2-222-2-22-22-20000−2i2i−2i2i−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000002i−2i002i−2i00-2200-22−22−22−22−222−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ6222-2-222-2-22-22-20000−2i2i−2i2i−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000−2i2i00−2i2i002-2002-2−22−22−22−22−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ6322-2-222-2-22-22-20000−2i2i−2i2i−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000002i−2i002i−2i00-2200-222−22−22−22−2−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ6422-2-222-2-22-22-20000−2i2i−2i2i−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000−2i2i00−2i2i002-2002-22−22−22−22−22−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ6522-2-222-2-2-22-2200002i−2i−2i2i2i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200002i−2i002i−2i002-2002-2002−2−222−2−222−2−222−2−22i2−i2−i2i2i2−i2−i2i20000000000000000
χ6622-2-222-2-2-22-2200002i−2i−2i2i2i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000−2i2i00−2i2i00-2200-22002−2−222−2−22−222−2−222−2−i2i2i2−i2−i2i2i2−i20000000000000000
χ6722-2-222-2-2-22-2200002i−2i−2i2i2i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200002i−2i002i−2i002-2002-200−222−2−222−2−222−2−222−2−i2i2i2−i2−i2i2i2−i20000000000000000
χ6822-2-222-2-2-22-2200002i−2i−2i2i2i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000−2i2i00−2i2i00-2200-2200−222−2−222−22−2−222−2−22i2−i2−i2i2i2−i2−i2i20000000000000000
χ6922-2-222-2-2-22-220000−2i2i2i−2i−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200002i−2i002i−2i00-2200-2200−222−2−222−22−2−222−2−22−i2i2i2−i2−i2i2i2−i20000000000000000
χ7022-2-222-2-2-22-220000−2i2i2i−2i−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000−2i2i00−2i2i002-2002-200−222−2−222−2−222−2−222−2i2−i2−i2i2i2−i2−i2i20000000000000000
χ7122-2-222-2-2-22-220000−2i2i2i−2i−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200002i−2i002i−2i00-2200-22002−2−222−2−22−222−2−222−2i2−i2−i2i2i2−i2−i2i20000000000000000
χ7222-2-222-2-2-22-220000−2i2i2i−2i−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000−2i2i00−2i2i002-2002-2002−2−222−2−222−2−222−2−22−i2i2i2−i2−i2i2i2−i20000000000000000
χ7322-2-2-2-2222-2-2200002i−2i−2i2i−2i2i2i−2i000022−2−2−2−222−2−22222−2−200002-200-2200−2i2i002i−2i00−i2i2i2−i2i2−i2−i2i22−2−22−222−2i2−i2−i2i2−i2i2i2−i20000000000000000
χ7422-2-2-2-2222-2-2200002i−2i−2i2i−2i2i2i−2i000022−2−2−2−222−2−22222−2−20000-22002-2002i−2i00−2i2i00−i2i2i2−i2i2−i2−i2i2−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000000000
χ7522-2-2-2-2222-2-2200002i−2i−2i2i−2i2i2i−2i0000−2−22222−2−222−2−2−2−22200002-200-2200−2i2i002i−2i00i2−i2−i2i2−i2i2i2−i2−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000000000
χ7622-2-2-2-2222-2-2200002i−2i−2i2i−2i2i2i−2i0000−2−22222−2−222−2−2−2−2220000-22002-2002i−2i00−2i2i00i2−i2−i2i2−i2i2i2−i22−2−22−222−2i2−i2−i2i2−i2i2i2−i20000000000000000
χ7722-2-2-2-2222-2-220000−2i2i2i−2i2i−2i−2i2i000022−2−2−2−222−2−22222−2−200002-200-22002i−2i00−2i2i00i2−i2−i2i2−i2i2i2−i22−2−22−222−2−i2i2i2−i2i2−i2−i2i20000000000000000
χ7822-2-2-2-2222-2-220000−2i2i2i−2i2i−2i−2i2i000022−2−2−2−222−2−22222−2−20000-22002-200−2i2i002i−2i00i2−i2−i2i2−i2i2i2−i2−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000000000
χ7922-2-2-2-2222-2-220000−2i2i2i−2i2i−2i−2i2i0000−2−22222−2−222−2−2−2−22200002-200-22002i−2i00−2i2i00−i2i2i2−i2i2−i2−i2i2−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000000000
χ8022-2-2-2-2222-2-220000−2i2i2i−2i2i−2i−2i2i0000−2−22222−2−222−2−2−2−2220000-22002-200−2i2i002i−2i00−i2i2i2−i2i2−i2−i2i22−2−22−222−2−i2i2i2−i2i2−i2−i2i20000000000000000
χ8122-2-2-2-222-222-200002i−2i2i−2i−2i2i−2i2i000022−2−222−2−2−2−222−2−2220000002-200-2200−2i2i002i−2i−i2i2−i2i2i2−i2i2−i22−22−2−22−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ8222-2-2-2-222-222-200002i−2i2i−2i−2i2i−2i2i000022−2−222−2−2−2−222−2−222000000-22002-2002i−2i00−2i2i−i2i2−i2i2i2−i2i2−i2−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ8322-2-2-2-222-222-200002i−2i2i−2i−2i2i−2i2i0000−2−222−2−22222−2−222−2−20000002-200-2200−2i2i002i−2ii2−i2i2−i2−i2i2−i2i2−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ8422-2-2-2-222-222-200002i−2i2i−2i−2i2i−2i2i0000−2−222−2−22222−2−222−2−2000000-22002-2002i−2i00−2i2ii2−i2i2−i2−i2i2−i2i22−22−2−22−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ8522-2-2-2-222-222-20000−2i2i−2i2i2i−2i2i−2i000022−2−222−2−2−2−222−2−2220000002-200-22002i−2i00−2i2ii2−i2i2−i2−i2i2−i2i22−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000000000000
χ8622-2-2-2-222-222-20000−2i2i−2i2i2i−2i2i−2i000022−2−222−2−2−2−222−2−222000000-22002-200−2i2i002i−2ii2−i2i2−i2−i2i2−i2i2−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ8722-2-2-2-222-222-20000−2i2i−2i2i2i−2i2i−2i0000−2−222−2−22222−2−222−2−20000002-200-22002i−2i00−2i2i−i2i2−i2i2i2−i2i2−i2−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ8822-2-2-2-222-222-20000−2i2i−2i2i2i−2i2i−2i0000−2−222−2−22222−2−222−2−2000000-22002-200−2i2i002i−2i−i2i2−i2i2i2−i2i2−i22−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000000000000
χ894-44-44i−4i4i−4i0000004i−4i000000004-4002+2i−2−2i2+2i−2−2i2+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i2−2i−2+2i2−2i−2+2i000000000000000000000000000000000000000000000000000000000000
χ904-44-44i−4i4i−4i0000004i−4i000000004-400−2−2i2+2i−2−2i2+2i−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i−2+2i2−2i−2+2i2−2i000000000000000000000000000000000000000000000000000000000000
χ914-44-44i−4i4i−4i000000−4i4i00000000-44002+2i−2−2i2+2i−2−2i−2−2i2+2i−2−2i2+2i2−2i−2+2i2−2i−2+2i−2+2i2−2i−2+2i2−2i000000000000000000000000000000000000000000000000000000000000
χ924-44-44i−4i4i−4i000000−4i4i00000000-4400−2−2i2+2i−2−2i2+2i2+2i−2−2i2+2i−2−2i−2+2i2−2i−2+2i2−2i2−2i−2+2i2−2i−2+2i000000000000000000000000000000000000000000000000000000000000
χ934-44-4−4i4i−4i4i0000004i−4i00000000-44002−2i−2+2i2−2i−2+2i−2+2i2−2i−2+2i2−2i2+2i−2−2i2+2i−2−2i−2−2i2+2i−2−2i2+2i000000000000000000000000000000000000000000000000000000000000
χ944-44-4−4i4i−4i4i0000004i−4i00000000-4400−2+2i2−2i−2+2i2−2i2−2i−2+2i2−2i−2+2i−2−2i2+2i−2−2i2+2i2+2i−2−2i2+2i−2−2i000000000000000000000000000000000000000000000000000000000000
χ954-44-4−4i4i−4i4i000000−4i4i000000004-4002−2i−2+2i2−2i−2+2i2−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i2+2i−2−2i2+2i−2−2i000000000000000000000000000000000000000000000000000000000000
χ964-44-4−4i4i−4i4i000000−4i4i000000004-400−2+2i2−2i−2+2i2−2i−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i−2−2i2+2i−2−2i2+2i000000000000000000000000000000000000000000000000000000000000
χ974-4-444i−4i−4i4i00004-40000000000004i−4i00004ζ3−4ζ3−4ζ34ζ300004ζ−4ζ−4ζ4ζ000000000000000000000000000000000000000000000000000000000000
χ984-4-444i−4i−4i4i00004-40000000000004i−4i0000−4ζ34ζ34ζ3−4ζ30000−4ζ4ζ4ζ−4ζ000000000000000000000000000000000000000000000000000000000000
χ994-4-444i−4i−4i4i0000-44000000000000−4i4i4ζ3−4ζ3−4ζ34ζ300004ζ−4ζ−4ζ4ζ0000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444i−4i−4i4i0000-44000000000000−4i4i−4ζ34ζ34ζ3−4ζ30000−4ζ4ζ4ζ−4ζ0000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44−4i4i4i−4i00004-4000000000000−4i4i00004ζ−4ζ−4ζ4ζ00004ζ3−4ζ3−4ζ34ζ3000000000000000000000000000000000000000000000000000000000000
χ1024-4-44−4i4i4i−4i00004-4000000000000−4i4i0000−4ζ4ζ4ζ−4ζ0000−4ζ34ζ34ζ3−4ζ3000000000000000000000000000000000000000000000000000000000000
χ1034-4-44−4i4i4i−4i0000-440000000000004i−4i4ζ−4ζ−4ζ4ζ00004ζ3−4ζ3−4ζ34ζ30000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44−4i4i4i−4i0000-440000000000004i−4i−4ζ4ζ4ζ−4ζ0000−4ζ34ζ34ζ3−4ζ30000000000000000000000000000000000000000000000000000000000000000

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