Finite Group Databasebeta

← Group #489555

Character table — Group #489555

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222222222222222224444444444444444444444444488888888888888161616161616161632323232
order12222244444444888888884444448888161616161616161616161616161616162288881616161616161616224444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-11-1-1-1-111111-1-1-1-1111-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-1-11-11-11-11-1
χ101111-1-11-1-1-1-111111-1-1-1-1111-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-111-11-11-11-11
χ111111-1-11-1-1-1-111111-1-1-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1111111-1-11-11-1-11-11
χ121111-1-11-1-1-1-111111-1-1-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-11111-1-111-11-111-11-1
χ131111-1-11-1-1-1-111111-1-1-1-1111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-11-111-1-11
χ141111-1-11-1-1-1-111111-1-1-1-1111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1111-11-1-111-1
χ151111-1-11-1-1-1-111111-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-11-1-1111111-1-1-1-111-1-1-11-11-111-1
χ161111-1-11-1-1-1-111111-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-11-1-1111111-1-1-1-1-1-1111-11-11-1-11
χ1722222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2000000000000000022-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000000000000000-2-2222200000000000000000000
χ19222222222-2-2-2-2200000000-2-2222200002222−2−2−2−22222−2−2−2−2-2-2000022−2−222−2−2000000000000
χ20222222222-2-2-2-2200000000-2-222220000−2−2−2−22222−2−2−2−22222-2-20000−2−222−2−222000000000000
χ21222222222-2-2-2-2200000000-2-2-2-2-2-200002222−2−2−2−22222−2−2−2−2220000−2−222−2−222000000000000
χ22222222222-2-2-2-2200000000-2-2-2-2-2-20000−2−2−2−22222−2−2−2−2222222000022−2−222−2−2000000000000
χ23222222-2-2-22222-222222222-2-20000-2-2-2-200000000000000000000000000000000002-2-220000
χ24222222-2-2-22222-222222222-2-20000-2-2-2-20000000000000000000000000000000000-222-20000
χ25222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000002-22-200000000
χ26222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000-22-2200000000
χ272222-2-22-2-222-2-2200000000-2222-2-200002222−2−2−2−2−2−2−2−22222-22000022−2−2−2−222000000000000
χ282222-2-22-2-222-2-2200000000-2222-2-20000−2−2−2−222222222−2−2−2−2-220000−2−22222−2−2000000000000
χ292222-2-22-2-222-2-2200000000-22-2-22200002222−2−2−2−2−2−2−2−222222-20000−2−22222−2−2000000000000
χ302222-2-22-2-222-2-2200000000-22-2-2220000−2−2−2−222222222−2−2−2−22-2000022−2−2−2−222000000000000
χ312222-2-22-2-2-2-2222-2-22222-2-22-222-2-222-2-200000000000000002-2-2-22200000000000000000000
χ322222-2-22-2-2-2-2222-2-22222-2-22-2-2-22222-2-20000000000000000-2222-2-200000000000000000000
χ332222-2-2-222-2-222-222-2-2-2-222-22000022-2-2000000000000000000000000000000000022-2-20000
χ342222-2-2-222-2-222-222-2-2-2-222-22000022-2-20000000000000000000000000000000000-2-2220000
χ352222-2-2-222-2-222-2-2-22222-2-2-220000-2-2220000000000000000000000000000002-2-2200000000
χ362222-2-2-222-2-222-2-2-22222-2-2-220000-2-222000000000000000000000000000000-222-200000000
χ3722-2-22-2-22-2000022−222−2−22−2002i−2i2i−2i2−22−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ3822-2-22-2-22-2000022−222−2−22−2002i−2i2i−2i2−22−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ3922-2-22-2-22-2000022−222−2−22−200−2i2i−2i2i2−22−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ4022-2-22-2-22-2000022−222−2−22−200−2i2i−2i2i2−22−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ4122-2-22-2-22-200002−22−2−222−22002i−2i2i−2i−22−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700−i2i2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ4222-2-22-2-22-200002−22−2−222−22002i−2i2i−2i−22−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700−i2i2−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ4322-2-22-2-22-200002−22−2−222−2200−2i2i−2i2i−22−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700i2−i2i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ4422-2-22-2-22-200002−22−2−222−2200−2i2i−2i2i−22−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700i2−i2i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ4522-2-2-22-2-22000022−2−2−2222−2002i−2i−2i2i−222−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500i2−i2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ4622-2-2-22-2-22000022−2−2−2222−2002i−2i−2i2i−222−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500i2−i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ4722-2-2-22-2-22000022−2−2−2222−200−2i2i2i−2i−222−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500−i2i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ4822-2-2-22-2-22000022−2−2−2222−200−2i2i2i−2i−222−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500−i2i2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ4922-2-2-22-2-2200002−2222−2−2−22002i−2i−2i2i2−2−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700−i2i2i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ5022-2-2-22-2-2200002−2222−2−2−22002i−2i−2i2i2−2−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700−i2i2i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ5122-2-2-22-2-2200002−2222−2−2−2200−2i2i2i−2i2−2−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700i2−i2−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ5222-2-2-22-2-2200002−2222−2−2−2200−2i2i2i−2i2−2−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700i2−i2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ53444444-4-4-4-4-4-4-4-4000000004400000000000000000000000000000000000000000000000000
χ544444-4-4-44444-4-4-4000000004-400000000000000000000000000000000000000000000000000
χ5544-4-44-44-440000-422−222222−22−2222−22000000−2222−2222000000000000000000000000000000000000000000
χ5644-4-44-44-440000-4−2222−22−222222−222200000022−2222−22000000000000000000000000000000000000000000
χ5744-4-4-4444-40000-422−22−22−22222222−2200000022−22−2222000000000000000000000000000000000000000000
χ5844-4-4-4444-40000-4−22222222−22−22−2222000000−222222−22000000000000000000000000000000000000000000
χ594-44-4000004i−4i00022−222i2−2i22i2−2i2−22220000000000ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ700000000000000000000000000
χ604-44-4000004i−4i00022−222i2−2i22i2−2i2−22220000000000−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ700000000000000000000000000
χ614-44-4000004i−4i000−2222−2i22i2−2i22i222−220000000000ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ700000000000000000000000000
χ624-44-4000004i−4i000−2222−2i22i2−2i22i222−220000000000−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ700000000000000000000000000
χ634-44-400000−4i4i00022−22−2i22i2−2i22i2−22220000000000ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ700000000000000000000000000
χ644-44-400000−4i4i00022−22−2i22i2−2i22i2−22220000000000−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ700000000000000000000000000
χ654-44-400000−4i4i000−22222i2−2i22i2−2i222−220000000000ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ700000000000000000000000000
χ664-44-400000−4i4i000−22222i2−2i22i2−2i222−220000000000−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ700000000000000000000000000
χ674-4-4400000004-40004i−4i−4i4i0000000000002i−2i−2i2i−2i2i2i−2i2-2-22-222-200000000000000000000000000
χ684-4-4400000004-40004i−4i−4i4i000000000000−2i2i2i−2i2i−2i−2i2i-222-22-2-2200000000000000000000000000
χ694-4-4400000004-4000−4i4i4i−4i0000000000002i−2i−2i2i−2i2i2i−2i-222-22-2-2200000000000000000000000000
χ704-4-4400000004-4000−4i4i4i−4i000000000000−2i2i2i−2i2i−2i−2i2i2-2-22-222-200000000000000000000000000
χ714-4-440000000-440440000-4-400000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ724-4-440000000-440440000-4-40000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ734-4-440000000-440-4-400004400000000000000000022−22−222222−22−222200000000000000000000000000
χ744-4-440000000-440-4-4000044000000000000000000−222222−22−222222−2200000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.