Finite Group Databasebeta

← Group #278320

Character table — Group #278320

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444422444444444888888888888888888888888888244488884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-11-1
χ611111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-11
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-11-11
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11-11-1
χ9111111111111-1-1111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ11111111111111-1-1111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ12111111111111-1-1111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ13111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ14111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11
χ1722222222-2-22222-2-2-2-2-2-2-22222-2-2-2-2222-2-20000000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-222-2-22222-2-2-2220000000000000000000000000000
χ1922222222-2-222-2-2-2-2-22222-2-222-2-2-2-22-2-2220000000000000000000000000000
χ2022222222-2-222-2-2-2-2-22222-2-2-2-22222-222-2-20000000000000000000000000000
χ212222-2-22-222-22222-2-222-2-2-2-20000000000000000000000000002-200002-20000
χ222222-2-22-222-22222-2-222-2-2-2-2000000000000000000000000000-220000-220000
χ232222-2-22-222-22-2-22-2-2-2-222220000000000000000000000000002-20000-220000
χ242222-2-22-222-22-2-22-2-2-2-22222000000000000000000000000000-2200002-20000
χ252222-2-22-2-2-2-2222-222-2-222-2-2000000000000000000000000000002i−2i2i−2i000000
χ262222-2-22-2-2-2-2222-222-2-222-2-200000000000000000000000000000−2i2i−2i2i000000
χ272222-2-22-2-2-2-22-2-2-22222-2-222000000000000000000000000000002i−2i−2i2i000000
χ282222-2-22-2-2-2-22-2-2-22222-2-22200000000000000000000000000000−2i2i2i−2i000000
χ292222-2-2-22222-200-22-20000002222-2-2-2000022-2-2000022-2-20000000000000000
χ302222-2-2-22222-200-22-20000002222-2-2-20000-2-2220000-2-2220000000000000000
χ312222-2-2-22222-200-22-2000000-2-2-2-2222000022-2-20000-2-2220000000000000000
χ322222-2-2-22222-200-22-2000000-2-2-2-22220000-2-222000022-2-20000000000000000
χ332222-2-2-22-2-22-2002-2200000022-2-222-2000000002i2i−2i−2i00002i2i−2i−2i000000000000
χ342222-2-2-22-2-22-2002-2200000022-2-222-200000000−2i−2i2i2i0000−2i−2i2i2i000000000000
χ352222-2-2-22-2-22-2002-22000000-2-222-2-22000000002i2i−2i−2i0000−2i−2i2i2i000000000000
χ362222-2-2-22-2-22-2002-22000000-2-222-2-2200000000−2i−2i2i2i00002i2i−2i−2i000000000000
χ372-2-222-22-2002-2000002i−2i2i−2i00002-22-202i−2i002−22−2i2−i2i2−i22−22−2i2−i2i2−i2000000000000
χ382-2-222-22-2002-2000002i−2i2i−2i00002-22-202i−2i00−22−22−i2i2−i2i2−22−22−i2i2−i2i2000000000000
χ392-2-222-22-2002-2000002i−2i2i−2i0000-22-220−2i2i002−22−2i2−i2i2−i2−22−22−i2i2−i2i2000000000000
χ402-2-222-22-2002-2000002i−2i2i−2i0000-22-220−2i2i00−22−22−i2i2−i2i22−22−2i2−i2i2−i2000000000000
χ412-2-222-22-2002-200000−2i2i−2i2i00002-22-20−2i2i002−22−2−i2i2−i2i22−22−2−i2i2−i2i2000000000000
χ422-2-222-22-2002-200000−2i2i−2i2i00002-22-20−2i2i00−22−22i2−i2i2−i2−22−22i2−i2i2−i2000000000000
χ432-2-222-22-2002-200000−2i2i−2i2i0000-22-2202i−2i002−22−2−i2i2−i2i2−22−22i2−i2i2−i2000000000000
χ442-2-222-22-2002-200000−2i2i−2i2i0000-22-2202i−2i00−22−22i2−i2i2−i22−22−2−i2i2−i2i2000000000000
χ452-2-22-22-2-200222-200000002-2002-2-220002-22−2−222−2−222−2−22−222−2000000000000
χ462-2-22-22-2-200222-200000002-2002-2-220002-2−222−2−222−2−222−22−2−22000000000000
χ472-2-22-22-2-200222-200000002-200-222-2000-222−2−222−2−22−222−22−2−22000000000000
χ482-2-22-22-2-200222-200000002-200-222-2000-22−222−2−222−22−2−22−222−2000000000000
χ492-2-22-22-2-20022-220000000-22002-2-22000-222−2−22−222−22−2−222−2−22000000000000
χ502-2-22-22-2-20022-220000000-22002-2-22000-22−222−22−2−22−222−2−222−2000000000000
χ512-2-22-22-2-20022-220000000-2200-222-20002-22−2−22−222−2−222−2−222−2000000000000
χ522-2-22-22-2-20022-220000000-2200-222-20002-2−222−22−2−222−2−222−2−22000000000000
χ53444444-4-444-4-400-4-44000000000000000000000000000000000000000000000
χ54444444-4-4-4-4-4-40044-4000000000000000000000000000000000000000000000
χ554-4-444-4-4400-444-40000000-44000000000000000000000000000000000000000
χ564-4-444-4-4400-44-4400000004-4000000000000000000000000000000000000000
χ574-4-44-444400-4-4000004i−4i−4i4i00000000000000000000000000000000000000000
χ584-4-44-444400-4-400000−4i4i4i−4i00000000000000000000000000000000000000000
χ5988-8-8000000000000000000042−420000000000000000000000000000000000000
χ6088-8-80000000000000000000−42420000000000000000000000000000000000000
χ618-88-800008-80000000000000000000000000000000000000000000000000000
χ628-88-80000-880000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).