Finite Group Databasebeta

← Group #102337

Character table — Group #102337

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order12222222444444444444444488888888888888882244448888888888888888888888888888888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ91111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−iii−i−i1-11-1
χ101111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−iii−i−iii-11-11
χ111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1ii−i−iii−i−i-11-11
χ121111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−iii−i−iii1-11-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111ii−i−i−i−iii1-1-11
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−iiiii−i−i-111-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111ii−i−i−i−iii-111-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−iiiii−i−i1-1-11
χ1722222222222222222222-2-2-2-22222222222222222-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022222222000000000000
χ192222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000000000000-2-2-2-22222000000000000
χ202222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222222222-2-2-2-2000000000000000000000000000000002222-2-2-2-2000000000000
χ2122222222-2-22222-2-2-2-2-2-222220000000000000000-2-2-2-22200000000000000002222-2-2-2-22222-2-2-2-200000000000000000000
χ2222222222-2-22222-2-2-2-2-2-222220000000000000000-2-2-2-2220000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-200000000000000002222-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-22222-2-222220000000000000000-2-222-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ2622222222-2-2-2-2-2-22222-2-222220000000000000000-2-222-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-22200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ2822222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-2220000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000
χ29222-2-2-2-22002i2i−2i−2i0000002i2i−2i−2ii2i2i2i2−i2−i2−i2−i22222−2−2−2−200002-21+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζi2i2−i2−i222−2−2000000000000
χ30222-2-2-2-22002i2i−2i−2i0000002i2i−2i−2ii2i2i2i2−i2−i2−i2−i22222−2−2−2−200002-2−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζi2i2−i2−i222−2−2000000000000
χ31222-2-2-2-22002i2i−2i−2i0000002i2i−2i−2i−i2−i2−i2−i2i2i2i2i2−2−2−2−2222200002-21+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i0000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ−i2−i2i2i2−2−222000000000000
χ32222-2-2-2-22002i2i−2i−2i0000002i2i−2i−2i−i2−i2−i2−i2i2i2i2i2−2−2−2−2222200002-2−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ−i2−i2i2i2−2−222000000000000
χ33222-2-2-2-22002i2i−2i−2i000000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i22222−2−2−2−20000-221−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i2ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ30000−i2−i2i2i2−2−222000000000000
χ34222-2-2-2-22002i2i−2i−2i000000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i22222−2−2−2−20000-22−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ30000−i2−i2i2i2−2−222000000000000
χ35222-2-2-2-22002i2i−2i−2i000000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i2−2−2−2−222220000-221−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ30000i2i2−i2−i222−2−2000000000000
χ36222-2-2-2-22002i2i−2i−2i000000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i2−2−2−2−222220000-22−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i2ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ30000i2i2−i2−i222−2−2000000000000
χ37222-2-2-2-2200−2i−2i2i2i0000002i2i−2i−2ii2i2i2i2−i2−i2−i2−i2−2−2−2−222220000-221+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i2ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ0000−i2−i2i2i222−2−2000000000000
χ38222-2-2-2-2200−2i−2i2i2i0000002i2i−2i−2ii2i2i2i2−i2−i2−i2−i2−2−2−2−222220000-22−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ0000−i2−i2i2i222−2−2000000000000
χ39222-2-2-2-2200−2i−2i2i2i0000002i2i−2i−2i−i2−i2−i2−i2i2i2i2i22222−2−2−2−20000-221+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ0000i2i2−i2−i2−2−222000000000000
χ40222-2-2-2-2200−2i−2i2i2i0000002i2i−2i−2i−i2−i2−i2−i2i2i2i2i22222−2−2−2−20000-22−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i2ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ0000i2i2−i2−i2−2−222000000000000
χ41222-2-2-2-2200−2i−2i2i2i000000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i2−2−2−2−2222200002-21−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ3i2i2−i2−i2−2−222000000000000
χ42222-2-2-2-2200−2i−2i2i2i000000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i2−2−2−2−2222200002-2−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ3i2i2−i2−i2−2−222000000000000
χ43222-2-2-2-2200−2i−2i2i2i000000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i22222−2−2−2−200002-21−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ3−i2−i2i2i222−2−2000000000000
χ44222-2-2-2-2200−2i−2i2i2i000000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i22222−2−2−2−200002-2−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ3−i2−i2i2i222−2−2000000000000
χ4522-22-22-2-20000002i2i−2i−2i002i−2i2i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2002-20000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i2−22−2i2−i2i2−i2000000000000
χ4622-22-22-2-20000002i2i−2i−2i002i−2i2i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2002-2000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i2−22−2i2−i2i2−i2000000000000
χ4722-22-22-2-20000002i2i−2i−2i002i−2i2i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2002-20000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−22−22−i2i2−i2i2000000000000
χ4822-22-22-2-20000002i2i−2i−2i002i−2i2i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2002-2000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−22−22−i2i2−i2i2000000000000
χ4922-22-22-2-20000002i2i−2i−2i00−2i2i−2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200-22002ζ−2ζ2ζ−2ζ000000002ζ3−2ζ32ζ3−2ζ31+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−22−22−i2i2−i2i2000000000000
χ5022-22-22-2-20000002i2i−2i−2i00−2i2i−2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200-2200−2ζ2ζ−2ζ2ζ00000000−2ζ32ζ3−2ζ32ζ3−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−22−22−i2i2−i2i2000000000000
χ5122-22-22-2-20000002i2i−2i−2i00−2i2i−2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200-22002ζ−2ζ2ζ−2ζ000000002ζ3−2ζ32ζ3−2ζ3−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i2−22−2i2−i2i2−i2000000000000
χ5222-22-22-2-20000002i2i−2i−2i00−2i2i−2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200-2200−2ζ2ζ−2ζ2ζ00000000−2ζ32ζ3−2ζ32ζ31+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i2−22−2i2−i2i2−i2000000000000
χ5322-22-22-2-2000000−2i−2i2i2i002i−2i2i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200-22002ζ3−2ζ32ζ3−2ζ3000000002ζ−2ζ2ζ−2ζ−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−22−22i2−i2i2−i2000000000000
χ5422-22-22-2-2000000−2i−2i2i2i002i−2i2i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200-2200−2ζ32ζ3−2ζ32ζ300000000−2ζ2ζ−2ζ2ζ1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−22−22i2−i2i2−i2000000000000
χ5522-22-22-2-2000000−2i−2i2i2i002i−2i2i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i200-22002ζ3−2ζ32ζ3−2ζ3000000002ζ−2ζ2ζ−2ζ1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i2−22−2−i2i2−i2i2000000000000
χ5622-22-22-2-2000000−2i−2i2i2i002i−2i2i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i200-2200−2ζ32ζ3−2ζ32ζ300000000−2ζ2ζ−2ζ2ζ−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i2−22−2−i2i2−i2i2000000000000
χ5722-22-22-2-2000000−2i−2i2i2i00−2i2i−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2002-20000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i2−22−2−i2i2−i2i2000000000000
χ5822-22-22-2-2000000−2i−2i2i2i00−2i2i−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2002-2000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i2−22−2−i2i2−i2i2000000000000
χ5922-22-22-2-2000000−2i−2i2i2i00−2i2i−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2002-20000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−22−22i2−i2i2−i2000000000000
χ6022-22-22-2-2000000−2i−2i2i2i00−2i2i−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2002-2000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−22−22i2−i2i2−i2000000000000
χ6122-2-22-22-22-2000000002-22-2-22000000002i2i−2i−2i−2i−2i2i2i2-20000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22−2−222−2−22−222−2−222−2−2i2i2i−2i0000000000000000
χ6222-2-22-22-22-2000000002-22-2-22000000002i2i−2i−2i−2i−2i2i2i2-20000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−222−2−222−22−2−222−2−22−2i2i2i−2i0000000000000000
χ6322-2-22-22-22-2000000002-22-2-2200000000−2i−2i2i2i2i2i−2i−2i2-20000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−222−2−222−22−2−222−2−222i−2i−2i2i0000000000000000
χ6422-2-22-22-22-2000000002-22-2-2200000000−2i−2i2i2i2i2i−2i−2i2-20000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22−2−222−2−22−222−2−222−22i−2i−2i2i0000000000000000
χ6522-2-22-22-22-2000000002-2-222-2000000002i2i−2i−2i−2i−2i2i2i-2200002−2−22−222−22−2−22−222−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i22i−2i−2i2i0000000000000000
χ6622-2-22-22-22-2000000002-2-222-2000000002i2i−2i−2i−2i−2i2i2i-220000−222−22−2−22−222−22−2−22−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i22i−2i−2i2i0000000000000000
χ6722-2-22-22-22-2000000002-2-222-200000000−2i−2i2i2i2i2i−2i−2i-2200002−2−22−222−22−2−22−222−2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−2i2i2i−2i0000000000000000
χ6822-2-22-22-22-2000000002-2-222-200000000−2i−2i2i2i2i2i−2i−2i-220000−222−22−2−22−222−22−2−22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−2i2i2i−2i0000000000000000
χ6922-2-22-22-2-2200000000-222-2-222i2i−2i−2i−2i−2i2i2i00000000-220000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−222−22−2−222−2−22−222−20000−2i2i2i−2i000000000000
χ7022-2-22-22-2-2200000000-222-2-222i2i−2i−2i−2i−2i2i2i00000000-220000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i22−2−22−222−2−222−22−2−220000−2i2i2i−2i000000000000
χ7122-2-22-22-2-2200000000-222-2-22−2i−2i2i2i2i2i−2i−2i00000000-220000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i22−2−22−222−2−222−22−2−2200002i−2i−2i2i000000000000
χ7222-2-22-22-2-2200000000-222-2-22−2i−2i2i2i2i2i−2i−2i00000000-220000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−222−22−2−222−2−22−222−200002i−2i−2i2i000000000000
χ7322-2-22-22-2-2200000000-22-222-22i2i−2i−2i−2i−2i2i2i000000002-200002−2−222−2−22−222−2−222−2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200002i−2i−2i2i000000000000
χ7422-2-22-22-2-2200000000-22-222-22i2i−2i−2i−2i−2i2i2i000000002-20000−222−2−222−22−2−222−2−22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200002i−2i−2i2i000000000000
χ7522-2-22-22-2-2200000000-22-222-2−2i−2i2i2i2i2i−2i−2i000000002-200002−2−222−2−22−222−2−222−2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000−2i2i2i−2i000000000000
χ7622-2-22-22-2-2200000000-22-222-2−2i−2i2i2i2i2i−2i−2i000000002-20000−222−2−222−22−2−222−2−22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000−2i2i2i−2i000000000000
χ772-22-222-2-2-222i−2i2i−2i2i−2i2i−2i2-200002-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ782-22-222-2-2-222i−2i2i−2i2i−2i2i−2i2-200002-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ792-22-222-2-2-222i−2i2i−2i2i−2i2i−2i2-20000-22-22-22-22−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000
χ802-22-222-2-2-222i−2i2i−2i2i−2i2i−2i2-20000-22-22-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000
χ812-22-222-2-2-22−2i2i−2i2i−2i2i−2i2i2-200002-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ822-22-222-2-2-22−2i2i−2i2i−2i2i−2i2i2-200002-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ832-22-222-2-2-22−2i2i−2i2i−2i2i−2i2i2-20000-22-22-22-222i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000
χ842-22-222-2-2-22−2i2i−2i2i−2i2i−2i2i2-20000-22-22-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000
χ854-444-4-44-4004-4-4400000000002i2−2i22i2−2i2−2i22i2−2i22i2−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ864-444-4-44-4004-4-440000000000−2i22i2−2i22i22i2−2i22i2−2i22i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ874-444-4-44-400-444-400000000002i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ884-444-4-44-400-444-40000000000−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ894-44-444-4-44-44i−4i4i−4i−4i4i−4i4i-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904-44-444-4-44-4−4i4i−4i4i4i−4i4i−4i-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ914-4-444-4-444400000000-4-400004i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ924-4-444-4-444400000000-4-40000−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ934-4-444-4-44-4-400000000440000000000004-4-44-444-40000000000000000000000000000000000000000000000000000000000
χ944-4-444-4-44-4-40000000044000000000000-444-44-4-440000000000000000000000000000000000000000000000000000000000
χ954-4-4-4-44440000004-4-4400000022−22−222222−22−222222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000
χ964-4-4-4-44440000004-4-44000000−222222−22−222222−22−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ974-4-4-4-4444000000-444-400000022−22−222222−22−2222−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ984-4-4-4-4444000000-444-4000000−222222−22−222222−2222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000

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