Finite Group Databasebeta

← Group #102335

Character table — Group #102335

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order12222222444444444444444488888888888888882244448888888888888888888888888888888888888888888888884444
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
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1
χ91111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1
χ101111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−iii−i−iii-1-111
χ111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1ii−i−iii−i−i-1-111
χ121111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−iii−i−iii11-1-1
χ131111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111iiiiiiii−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
χ141111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111iiiiiiii−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
χ151111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111−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
χ161111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111−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
χ17222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000000000000-2-2-2-22222000000000000
χ18222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222222-2-2-2-2000000000000000000000000000000002222-2-2-2-2000000000000
χ192222222222-2-22222222222-2-22222222222222222-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2000000000000
χ202222222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022222222000000000000
χ2122222222-2-2222222-2-2-2-2-2-2220000000000000000-2-222-2-200000000000000002222-2-2-2-22222-2-2-2-200000000000000000000
χ2222222222-2-2222222-2-2-2-2-2-2220000000000000000-2-222-2-20000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000
χ2322222222-2-222-2-2-2-22222-2-2220000000000000000-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ2422222222-2-222-2-2-2-22222-2-2220000000000000000-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-20000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000
χ292222-2-2-2-22-222000000002-2-2-2000000002222-2-2-2-22-2000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222-2-20000000000000000
χ302222-2-2-2-22-222000000002-2-2-2000000002222-2-2-2-22-20000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−22222-2-20000000000000000
χ312222-2-2-2-22-222000000002-2-2-200000000-2-2-2-222222-2000022−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−222-2-2220000000000000000
χ322222-2-2-2-22-222000000002-2-2-200000000-2-2-2-222222-20000−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−2-2-2220000000000000000
χ332222-2-2-2-22-2-2-2000000002-222000000002222-2-2-2-2-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-2-2220000000000000000
χ342222-2-2-2-22-2-2-2000000002-222000000002222-2-2-2-2-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-2-2220000000000000000
χ352222-2-2-2-22-2-2-2000000002-22200000000-2-2-2-22222-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i222-2-20000000000000000
χ362222-2-2-2-22-2-2-2000000002-22200000000-2-2-2-22222-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i222-2-20000000000000000
χ372222-2-2-2-2-222200000000-22-2-22222-2-2-2-200000000-22000022−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222000022-2-2000000000000
χ382222-2-2-2-2-222200000000-22-2-22222-2-2-2-200000000-220000−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2000022-2-2000000000000
χ392222-2-2-2-2-222200000000-22-2-2-2-2-2-2222200000000-22000022−2−2−2−22222−2−2−2−222−2−22222−2−2−2−22222−2−20000-2-222000000000000
χ402222-2-2-2-2-222200000000-22-2-2-2-2-2-2222200000000-220000−2−22222−2−2−2−22222−2−222−2−2−2−22222−2−2−2−2220000-2-222000000000000
χ412222-2-2-2-2-22-2-200000000-22222222-2-2-2-2000000002-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000-2-222000000000000
χ422222-2-2-2-2-22-2-200000000-22222222-2-2-2-2000000002-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000-2-222000000000000
χ432222-2-2-2-2-22-2-200000000-2222-2-2-2-22222000000002-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000022-2-2000000000000
χ442222-2-2-2-2-22-2-200000000-2222-2-2-2-22222000000002-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000022-2-2000000000000
χ4522-2-22-22-2002i−2i00002i2i−2i−2i002i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−200002-200002ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+ii2−i2i2−i22−22−2000000000000
χ4622-2-22-22-2002i−2i00002i2i−2i−2i002i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−200002-20000−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−ii2−i2i2−i22−22−2000000000000
χ4722-2-22-22-2002i−2i00002i2i−2i−2i002i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−22200002-200002ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−i2i2−i2i2−22−22000000000000
χ4822-2-22-22-2002i−2i00002i2i−2i−2i002i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−22200002-20000−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−i2i2−i2i2−22−22000000000000
χ4922-2-22-22-2002i−2i0000−2i−2i2i2i002i−2ii2i2−i2−i2i2i2−i2−i2−2−222−2−2220000-222ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ00001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−i2i2−i2i22−22−2000000000000
χ5022-2-22-22-2002i−2i0000−2i−2i2i2i002i−2ii2i2−i2−i2i2i2−i2−i2−2−222−2−2220000-22−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ0000−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−i2i2−i2i22−22−2000000000000
χ5122-2-22-22-2002i−2i0000−2i−2i2i2i002i−2i−i2−i2i2i2−i2−i2i2i222−2−222−2−20000-222ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ0000−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+ii2−i2i2−i2−22−22000000000000
χ5222-2-22-22-2002i−2i0000−2i−2i2i2i002i−2i−i2−i2i2i2−i2−i2i2i222−2−222−2−20000-22−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ00001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−ii2−i2i2−i2−22−22000000000000
χ5322-2-22-22-200−2i2i00002i2i−2i−2i00−2i2ii2i2−i2−i2i2i2−i2−i222−2−222−2−20000-222ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ300001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−i2i2−i2i2−22−22000000000000
χ5422-2-22-22-200−2i2i00002i2i−2i−2i00−2i2ii2i2−i2−i2i2i2−i2−i222−2−222−2−20000-22−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ30000−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−i2i2−i2i2−22−22000000000000
χ5522-2-22-22-200−2i2i00002i2i−2i−2i00−2i2i−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000-222ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ30000−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−ii2−i2i2−i22−22−2000000000000
χ5622-2-22-22-200−2i2i00002i2i−2i−2i00−2i2i−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000-22−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ300001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+ii2−i2i2−i22−22−2000000000000
χ5722-2-22-22-200−2i2i0000−2i−2i2i2i00−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−22200002-200002ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ31−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−ii2−i2i2−i2−22−22000000000000
χ5822-2-22-22-200−2i2i0000−2i−2i2i2i00−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−22200002-20000−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ3−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+ii2−i2i2−i2−22−22000000000000
χ5922-2-22-22-200−2i2i0000−2i−2i2i2i00−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−200002-200002ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ3−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−i2i2−i2i22−22−2000000000000
χ6022-2-22-22-200−2i2i0000−2i−2i2i2i00−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−200002-20000−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ31−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−i2i2−i2i22−22−2000000000000
χ6122-2-2-22-22002i−2i2i2i−2i−2i000000−2i2ii2i2−i2−i2−i2−i2i2i222−2−2−2−222002-2001−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i0000−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ3i2−i2−i2i22−2−22000000000000
χ6222-2-2-22-22002i−2i2i2i−2i−2i000000−2i2ii2i2−i2−i2−i2−i2i2i222−2−2−2−222002-200−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i00002ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ3i2−i2−i2i22−2−22000000000000
χ6322-2-2-22-22002i−2i2i2i−2i−2i000000−2i2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−2002-2001−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i00002ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ3−i2i2i2−i2−222−2000000000000
χ6422-2-2-22-22002i−2i2i2i−2i−2i000000−2i2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−2002-200−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i0000−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ3−i2i2i2−i2−222−2000000000000
χ6522-2-2-22-22002i−2i−2i−2i2i2i000000−2i2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−200-22001−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ30000−i2i2i2−i22−2−22000000000000
χ6622-2-2-22-22002i−2i−2i−2i2i2i000000−2i2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−200-2200−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i2ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ30000−i2i2i2−i22−2−22000000000000
χ6722-2-2-22-22002i−2i−2i−2i2i2i000000−2i2i−i2−i2i2i2i2i2−i2−i222−2−2−2−22200-22001−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i2ζ−2ζ−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ30000i2−i2−i2i2−222−2000000000000
χ6822-2-2-22-22002i−2i−2i−2i2i2i000000−2i2i−i2−i2i2i2i2i2−i2−i222−2−2−2−22200-2200−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ30000i2−i2−i2i2−222−2000000000000
χ6922-2-2-22-2200−2i2i2i2i−2i−2i0000002i−2ii2i2−i2−i2−i2−i2i2i222−2−2−2−22200-22001+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζ0000−i2i2i2−i2−222−2000000000000
χ7022-2-2-22-2200−2i2i2i2i−2i−2i0000002i−2ii2i2−i2−i2−i2−i2i2i222−2−2−2−22200-2200−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i2ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζ0000−i2i2i2−i2−222−2000000000000
χ7122-2-2-22-2200−2i2i2i2i−2i−2i0000002i−2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−200-22001+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i2ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζ0000i2−i2−i2i22−2−22000000000000
χ7222-2-2-22-2200−2i2i2i2i−2i−2i0000002i−2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−200-2200−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζ0000i2−i2−i2i22−2−22000000000000
χ7322-2-2-22-2200−2i2i−2i−2i2i2i0000002i−2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−2002-2001+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i0000−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζi2−i2−i2i2−222−2000000000000
χ7422-2-2-22-2200−2i2i−2i−2i2i2i0000002i−2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−2002-200−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i00002ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζi2−i2−i2i2−222−2000000000000
χ7522-2-2-22-2200−2i2i−2i−2i2i2i0000002i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−222002-2001+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i00002ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ2ζ−2ζ−i2i2i2−i22−2−22000000000000
χ7622-2-2-22-2200−2i2i−2i−2i2i2i0000002i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−222002-200−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i0000−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−2ζ2ζ−i2i2i2−i22−2−22000000000000
χ772-2-2222-2-22-2002i−2i2i−2i2i−2i2i−2i-22002-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ782-2-2222-2-22-2002i−2i2i−2i2i−2i2i−2i-22002-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ792-2-2222-2-22-2002i−2i2i−2i2i−2i2i−2i-2200-22-22-22-22−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000
χ802-2-2222-2-22-2002i−2i2i−2i2i−2i2i−2i-2200-22-22-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000
χ812-2-2222-2-22-200−2i2i−2i2i−2i2i−2i2i-22002-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ822-2-2222-2-22-200−2i2i−2i2i−2i2i−2i2i-22002-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ832-2-2222-2-22-200−2i2i−2i2i−2i2i−2i2i-2200-22-22-22-222i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000
χ842-2-2222-2-22-200−2i2i−2i2i−2i2i−2i2i-2200-22-22-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000
χ854-44-44-4-44000000004-4-4400002i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ864-44-44-4-44000000004-4-440000−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ874-44-44-4-4400000000-444-400002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ884-44-44-4-4400000000-444-40000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ894-44-4-444-400004-4-44000000002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ904-44-4-444-400004-4-4400000000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ914-44-4-444-40000-444-4000000002i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ924-44-4-444-40000-444-400000000−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ934-4-4444-4-4-44004i−4i4i−4i−4i4i−4i4i4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-4444-4-4-4400−4i4i−4i4i4i−4i4i−4i4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-44-4-444440000000000-4-400000000004i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ964-4-44-4-444440000000000-4-40000000000−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ974-4-44-4-444-4-4000000000044004-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ984-4-44-4-444-4-400000000004400-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000

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