Finite Group Databasebeta

← Group #504716

Character table — Group #504716

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order1222224444888844448816161616161616164444888888161616161616161616161616244444444488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-111-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-11
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-11-1-11-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111-111-111-1
χ911111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1
χ1011111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-1-111
χ1111111111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ1211111111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1111-11-11
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-11111-1-1-11-11-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11-1-1-1-11111-11-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-11-11
χ172222222222-2-2-2-22222-2-20000000022-2-2-2-2-2-222000000000000000000000000
χ182222222222-2-2-2-22222-2-200000000-2-222-2-222-2-2000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-200000000222222-2-2-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2222222000000000000000000000000
χ212222-2-222-2-222220000-2-22222-2-2-2-200000000000000000000002002-2-2000000
χ222222-2-222-2-222220000-2-22222-2-2-2-20000000000000000000000-200-222000000
χ232222-2-222-2-222220000-2-2-2-2-2-222220000000000000000000000200-22-2000000
χ242222-2-222-2-222220000-2-2-2-2-2-222220000000000000000000000-2002-22000000
χ252222-2-2-2-222000022-2-20022−2−222−2−22-20000002-222−2−222−2−222−2−2000000000000
χ262222-2-2-2-222000022-2-20022−2−222−2−2-22000000-2222−2−2−2−222−2−222000000000000
χ272222-2-2-2-222000022-2-200−2−222−2−2222-20000002-2−2−222−2−222−2−222000000000000
χ282222-2-2-2-222000022-2-200−2−222−2−222-22000000-22−2−22222−2−222−2−2000000000000
χ292222-2-2-2-2220000-2-2220022−2−222−2−22-2000000-22−2−22222−2−2−2−222000000000000
χ302222-2-2-2-2220000-2-2220022−2−222−2−2-220000002-2−2−222−2−22222−2−2000000000000
χ312222-2-2-2-2220000-2-22200−2−222−2−2222-2000000-2222−2−2−2−22222−2−2000000000000
χ322222-2-2-2-2220000-2-22200−2−222−2−222-220000002-222−2−222−2−2−2−222000000000000
χ332-2-222-22-22-2-2-2220000-222i−2i2i−2i2i−2i2i−2i000000000000000000000002i−2i0002-20000
χ342-2-222-22-22-2-2-2220000-222i−2i2i−2i2i−2i2i−2i00000000000000000000000−2i2i000-220000
χ352-2-222-22-22-2-2-2220000-22−2i2i−2i2i−2i2i−2i2i000000000000000000000002i−2i000-220000
χ362-2-222-22-22-2-2-2220000-22−2i2i−2i2i−2i2i−2i2i00000000000000000000000−2i2i0002-20000
χ372-2-222-2-22-2200002i−2i2i−2i00i2−i2−i2i2−i2i2i2−i2002i−2i002-2002−22−2i2−i2i2−i22−22−2000000000000
χ382-2-222-2-22-2200002i−2i2i−2i00i2−i2−i2i2−i2i2i2−i200−2i2i00-22002−22−2−i2i2−i2i2−22−22000000000000
χ392-2-222-2-22-2200002i−2i2i−2i00−i2i2i2−i2i2−i2−i2i2002i−2i002-200−22−22−i2i2−i2i2−22−22000000000000
χ402-2-222-2-22-2200002i−2i2i−2i00−i2i2i2−i2i2−i2−i2i200−2i2i00-2200−22−22i2−i2i2−i22−22−2000000000000
χ412-2-222-2-22-220000−2i2i−2i2i00i2−i2−i2i2−i2i2i2−i2002i−2i00-2200−22−22−i2i2−i2i22−22−2000000000000
χ422-2-222-2-22-220000−2i2i−2i2i00i2−i2−i2i2−i2i2i2−i200−2i2i002-200−22−22i2−i2i2−i2−22−22000000000000
χ432-2-222-2-22-220000−2i2i−2i2i00−i2i2i2−i2i2−i2−i2i2002i−2i00-22002−22−2i2−i2i2−i2−22−22000000000000
χ442-2-222-2-22-220000−2i2i−2i2i00−i2i2i2−i2i2−i2−i2i200−2i2i002-2002−22−2−i2i2−i2i22−22−2000000000000
χ452-2-22-222-2-2222-2-22i−2i−2i2i-220000000000002i−2i000000002i−2i−2i2i2-2-22000000000000
χ462-2-22-222-2-2222-2-22i−2i−2i2i-220000000000002i−2i00000000−2i2i2i−2i-222-2000000000000
χ472-2-22-222-2-2222-2-2−2i2i2i−2i-22000000000000−2i2i000000002i−2i−2i2i-222-2000000000000
χ482-2-22-222-2-2222-2-2−2i2i2i−2i-22000000000000−2i2i00000000−2i2i2i−2i2-2-22000000000000
χ492-2-22-222-2-22-2-2222i−2i−2i2i2-22i−2i2i−2i−2i2i−2i2i0000−2i2i00002-2-2200000000000000000000
χ502-2-22-222-2-22-2-2222i−2i−2i2i2-2−2i2i−2i2i2i−2i2i−2i0000−2i2i0000-222-200000000000000000000
χ512-2-22-222-2-22-2-222−2i2i2i−2i2-22i−2i2i−2i−2i2i−2i2i00002i−2i0000-222-200000000000000000000
χ522-2-22-222-2-22-2-222−2i2i2i−2i2-2−2i2i−2i2i2i−2i2i−2i00002i−2i00002-2-2200000000000000000000
χ53444444-4-4-4-400000000002222−22−22−22−2222220000000000000000000000000000000000
χ54444444-4-4-4-40000000000−22−2222222222−22−220000000000000000000000000000000000
χ554444-4-444-4-4-4-4-4-4000044000000000000000000000000000000000000000000
χ564-4-444-44-44-444-4-400004-4000000000000000000000000000000000000000000
χ574-4-44-44-444-400000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ584-4-44-44-444-40000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ5988-8-800000042−4242−42000000000000000000000000000000000000000000000000
χ6088-8-8000000−4242−4242000000000000000000000000000000000000000000000000
χ618-88-800000042−42−4242000000000000000000000000000000000000000000000000
χ628-88-8000000−424242−42000000000000000000000000000000000000000000000000

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