Finite Group Databasebeta

← Group #141821

Character table — Group #141821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444443232323232323232
order1222444444444488888888888888888888888824888888888888161616161616161616161616161616161616161616161616161616161616161644448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
χ91111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-1i−ii−i
χ101111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11−ii−ii
χ111111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-1−ii−ii
χ121111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11i−ii−i
χ131111-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-11i−i−ii
χ141111-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111-1−iii−i
χ151111-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-11−iii−i
χ161111-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-111-1i−i−ii
χ172222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ1922222222-2-2-2-2-2-2000000002222-2-2-2-2000000002-2000022-2-20000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000
χ2022222222-2-2-2-2-2-2000000002222-2-2-2-2000000002-2000022-2-20000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200000000
χ2122222222-2-2-2-2-2-200000000-2-2-2-22222000000002-20000-2-2220000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200000000
χ2222222222-2-2-2-2-2-200000000-2-2-2-22222000000002-20000-2-2220000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000
χ23222222-2-222-2-22200000000000000002222-2-2-2-2-2-222-2-200000000000000000000000022-2-222-2-222-2-222-2-200000000
χ24222222-2-222-2-22200000000000000002222-2-2-2-2-2-222-2-2000000000000000000000000-2-222-2-222-2-222-2-22200000000
χ25222222-2-222-2-2220000000000000000-2-2-2-22222-2-2-2-2220000000022-2-222-2-222-2-222-2-2000000000000000000000000
χ26222222-2-222-2-2220000000000000000-2-2-2-22222-2-2-2-22200000000-2-222-2-222-2-222-2-222000000000000000000000000
χ27222222-2-2-2-222-2-22222-2-2-2-20000000000000000-220000000022-2-2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ28222222-2-2-2-222-2-22222-2-2-2-20000000000000000-220000000022-2-2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ29222222-2-2-2-222-2-2-2-2-2-222220000000000000000-2200000000-2-222i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ30222222-2-2-2-222-2-2-2-2-2-222220000000000000000-2200000000-2-222−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ312222-2-2222222-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ322222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ332222-2-222-2-2-2-222000000002222-2-2-2-200000000-220000-2-22200002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−200000000
χ342222-2-222-2-2-2-222000000002222-2-2-2-200000000-220000-2-2220000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−2222200000000
χ352222-2-222-2-2-2-22200000000-2-2-2-2222200000000-22000022-2-200002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2222200000000
χ362222-2-222-2-2-2-22200000000-2-2-2-2222200000000-22000022-2-20000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−200000000
χ372222-2-2-2-222-2-2-2-200000000000000002222-2-2-2-222-2-222000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ382222-2-2-2-222-2-2-2-200000000000000002222-2-2-2-222-2-22200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ392222-2-2-2-222-2-2-2-20000000000000000-2-2-2-222222222-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000
χ402222-2-2-2-222-2-2-2-20000000000000000-2-2-2-222222222-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000
χ412222-2-2-2-2-2-222222222-2-2-2-200000000000000002-200000000-2-22222−2−2−2−222−2−22222−2−222−2−2−2−222−2−22222−2−200000000
χ422222-2-2-2-2-2-222222222-2-2-2-200000000000000002-200000000-2-222−2−22222−2−222−2−2−2−222−2−22222−2−222−2−2−2−22200000000
χ432222-2-2-2-2-2-22222-2-2-2-2222200000000000000002-20000000022-2-222−2−2−2−222−2−22222−2−2−2−22222−2−222−2−2−2−22200000000
χ442222-2-2-2-2-2-22222-2-2-2-2222200000000000000002-20000000022-2-2−2−22222−2−222−2−2−2−22222−2−2−2−222−2−22222−2−200000000
χ452-22-22i−2i002-2002i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200002i2i−2i−2i00002-22−22−2i2−i2i2−i2002ζ3−2ζ3002ζ3−2ζ3002ζ−2ζ002ζ−2ζ1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00000000
χ462-22-22i−2i002-2002i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200002i2i−2i−2i00002-22−22−2i2−i2i2−i200−2ζ32ζ300−2ζ32ζ300−2ζ2ζ00−2ζ2ζ−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00000000
χ472-22-22i−2i002-2002i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000−2i−2i2i2i0000-22−22−22i2−i2i2−i22ζ3−2ζ3002ζ3−2ζ3002ζ−2ζ002ζ−2ζ001−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i00000000
χ482-22-22i−2i002-2002i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000−2i−2i2i2i0000-22−22−22i2−i2i2−i2−2ζ32ζ300−2ζ32ζ300−2ζ2ζ00−2ζ2ζ00−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i00000000
χ492-22-22i−2i002-2002i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000−2i−2i2i2i0000-222−22−2−i2i2−i2i22ζ3−2ζ3002ζ3−2ζ3002ζ−2ζ002ζ−2ζ00−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i00000000
χ502-22-22i−2i002-2002i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000−2i−2i2i2i0000-222−22−2−i2i2−i2i2−2ζ32ζ300−2ζ32ζ300−2ζ2ζ00−2ζ2ζ001−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i00000000
χ512-22-22i−2i002-2002i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200002i2i−2i−2i00002-2−22−22−i2i2−i2i2002ζ3−2ζ3002ζ3−2ζ3002ζ−2ζ002ζ−2ζ−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00000000
χ522-22-22i−2i002-2002i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200002i2i−2i−2i00002-2−22−22−i2i2−i2i200−2ζ32ζ300−2ζ32ζ300−2ζ2ζ00−2ζ2ζ1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00000000
χ532-22-22i−2i00-2200−2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i22i2i−2i−2i0000002-2002−2−22i2−i2−i2i21+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i00−2ζ2ζ002ζ−2ζ00−2ζ32ζ3002ζ3−2ζ300000000
χ542-22-22i−2i00-2200−2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i22i2i−2i−2i0000002-2002−2−22i2−i2−i2i2−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i002ζ−2ζ00−2ζ2ζ002ζ3−2ζ300−2ζ32ζ300000000
χ552-22-22i−2i00-2200−2i2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2i−2i2i2i000000-2200−222−2i2−i2−i2i21+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−2ζ2ζ002ζ−2ζ00−2ζ32ζ3002ζ3−2ζ30000000000
χ562-22-22i−2i00-2200−2i2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2i−2i2i2i000000-2200−222−2i2−i2−i2i2−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i2ζ−2ζ00−2ζ2ζ002ζ3−2ζ300−2ζ32ζ30000000000
χ572-22-22i−2i00-2200−2i2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2i−2i2i2i000000-22002−2−22−i2i2i2−i21+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i2ζ−2ζ00−2ζ2ζ002ζ3−2ζ300−2ζ32ζ30000000000
χ582-22-22i−2i00-2200−2i2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2i−2i2i2i000000-22002−2−22−i2i2i2−i2−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−2ζ2ζ002ζ−2ζ00−2ζ32ζ3002ζ3−2ζ30000000000
χ592-22-22i−2i00-2200−2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i22i2i−2i−2i0000002-200−222−2−i2i2i2−i21+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i002ζ−2ζ00−2ζ2ζ002ζ3−2ζ300−2ζ32ζ300000000
χ602-22-22i−2i00-2200−2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i22i2i−2i−2i0000002-200−222−2−i2i2i2−i2−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i00−2ζ2ζ002ζ−2ζ00−2ζ32ζ3002ζ3−2ζ300000000
χ612-22-2−2i2i002-200−2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200002i2i−2i−2i0000-22−22−22−i2i2−i2i22ζ−2ζ002ζ−2ζ002ζ3−2ζ3002ζ3−2ζ300−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i00000000
χ622-22-2−2i2i002-200−2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200002i2i−2i−2i0000-22−22−22−i2i2−i2i2−2ζ2ζ00−2ζ2ζ00−2ζ32ζ300−2ζ32ζ3001+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i00000000
χ632-22-2−2i2i002-200−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000−2i−2i2i2i00002-22−22−2−i2i2−i2i2002ζ−2ζ002ζ−2ζ002ζ3−2ζ3002ζ3−2ζ3−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00000000
χ642-22-2−2i2i002-200−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000−2i−2i2i2i00002-22−22−2−i2i2−i2i200−2ζ2ζ00−2ζ2ζ00−2ζ32ζ300−2ζ32ζ31+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00000000
χ652-22-2−2i2i002-200−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000−2i−2i2i2i00002-2−22−22i2−i2i2−i2002ζ−2ζ002ζ−2ζ002ζ3−2ζ3002ζ3−2ζ31+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00000000
χ662-22-2−2i2i002-200−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000−2i−2i2i2i00002-2−22−22i2−i2i2−i200−2ζ2ζ00−2ζ2ζ00−2ζ32ζ300−2ζ32ζ3−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00000000
χ672-22-2−2i2i002-200−2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200002i2i−2i−2i0000-222−22−2i2−i2i2−i22ζ−2ζ002ζ−2ζ002ζ3−2ζ3002ζ3−2ζ3001+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i00000000
χ682-22-2−2i2i002-200−2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200002i2i−2i−2i0000-222−22−2i2−i2i2−i2−2ζ2ζ00−2ζ2ζ00−2ζ32ζ300−2ζ32ζ300−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i00000000
χ692-22-2−2i2i00-22002i−2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i22i2i−2i−2i000000-2200−222−2−i2i2i2−i21−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i2ζ3−2ζ300−2ζ32ζ3002ζ−2ζ00−2ζ2ζ0000000000
χ702-22-2−2i2i00-22002i−2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i22i2i−2i−2i000000-2200−222−2−i2i2i2−i2−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−2ζ32ζ3002ζ3−2ζ300−2ζ2ζ002ζ−2ζ0000000000
χ712-22-2−2i2i00-22002i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2i−2i2i2i0000002-2002−2−22−i2i2i2−i21−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i002ζ3−2ζ300−2ζ32ζ3002ζ−2ζ00−2ζ2ζ00000000
χ722-22-2−2i2i00-22002i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2i−2i2i2i0000002-2002−2−22−i2i2i2−i2−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i00−2ζ32ζ3002ζ3−2ζ300−2ζ2ζ002ζ−2ζ00000000
χ732-22-2−2i2i00-22002i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2i−2i2i2i0000002-200−222−2i2−i2−i2i21−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i00−2ζ32ζ3002ζ3−2ζ300−2ζ2ζ002ζ−2ζ00000000
χ742-22-2−2i2i00-22002i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2i−2i2i2i0000002-200−222−2i2−i2−i2i2−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i002ζ3−2ζ300−2ζ32ζ3002ζ−2ζ00−2ζ2ζ00000000
χ752-22-2−2i2i00-22002i−2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i22i2i−2i−2i000000-22002−2−22i2−i2−i2i21−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−2ζ32ζ3002ζ3−2ζ300−2ζ2ζ002ζ−2ζ0000000000
χ762-22-2−2i2i00-22002i−2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i22i2i−2i−2i000000-22002−2−22i2−i2−i2i2−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i2ζ3−2ζ300−2ζ32ζ3002ζ−2ζ00−2ζ2ζ0000000000
χ7744-4-4004-400000022−2222−2222−2222−2200004-44-422−2222−2222−2222−22000000000000000000000000000000000000000000000000000000
χ7844-4-4004-400000022−2222−2222−2222−220000-44-44−2222−2222−2222−2222000000000000000000000000000000000000000000000000000000
χ7944-4-4004-4000000−2222−2222−2222−222200004-44-4−2222−2222−2222−2222000000000000000000000000000000000000000000000000000000
χ8044-4-4004-4000000−2222−2222−2222−22220000-44-4422−2222−2222−2222−22000000000000000000000000000000000000000000000000000000
χ8144-4-400-4400000022−2222−22−2222−22224-44-4000022−2222−22−2222−2222000000000000000000000000000000000000000000000000000000
χ8244-4-400-4400000022−2222−22−2222−2222-44-440000−2222−222222−2222−22000000000000000000000000000000000000000000000000000000
χ8344-4-400-44000000−2222−222222−2222−224-44-40000−2222−222222−2222−22000000000000000000000000000000000000000000000000000000
χ8444-4-400-44000000−2222−222222−2222−22-44-44000022−2222−22−2222−2222000000000000000000000000000000000000000000000000000000
χ854-4-440000004-40000004-4-442i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000
χ864-4-440000004-40000004-4-44−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000
χ874-4-440000004-4000000-444-42i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000
χ884-4-440000004-4000000-444-4−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000
χ894-4-44000000-44004-4-4400002i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000
χ904-4-44000000-44004-4-440000−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000
χ914-4-44000000-4400-444-400002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000
χ924-4-44000000-4400-444-40000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000

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