Finite Group Databasebeta

← Group #502867

Character table — Group #502867

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order122222444488884444444488888824888816161616161616161616161616161616224444442488
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
χ51111111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111111111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-11-11-1
χ1011111111111111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-11-11
χ1111111111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-111-1-1-11-11
χ1211111111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1111-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-1111-1-11
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-11-1111-1-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11-11-1-1-111-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-11-1111-1-11-1-11
χ172222222222-2-2-2-222222222-2-2-2-2-2-222-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ192222222222-2-2-2-2-2-222-2-2222222-2-2-2-2-2-2220000000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000
χ212222-2-22-2-2200002-2222-2-2-20000002-2000022−2−222−2−222−2−222−2−2000000000000
χ222222-2-22-2-2200002-2222-2-2-20000002-20000−2−222−2−222−2−222−2−222000000000000
χ232222-2-22-2-2200002-2-2-22-222000000-22000022−2−222−2−2−2−222−2−222000000000000
χ242222-2-22-2-2200002-2-2-22-222000000-220000−2−222−2−22222−2−222−2−2000000000000
χ252222-2-22-2-220000-2222-22-2-2000000-22000022−2−2−2−22222−2−2−2−222000000000000
χ262222-2-22-2-220000-2222-22-2-2000000-220000−2−22222−2−2−2−22222−2−2000000000000
χ272222-2-22-2-220000-22-2-2-22220000002-2000022−2−2−2−222−2−22222−2−2000000000000
χ282222-2-22-2-220000-22-2-2-22220000002-20000−2−22222−2−222−2−2−2−222000000000000
χ292222-2-2-222-222222-200-220022-2-2-2-2000000000000000000000022-2-200000000
χ302222-2-2-222-222222-200-220022-2-2-2-20000000000000000000000-2-22200000000
χ312222-2-2-222-22222-22002-200-2-222-2-200000000000000000000002-2-2200000000
χ322222-2-2-222-22222-22002-200-2-222-2-20000000000000000000000-222-200000000
χ332222-2-2-222-2-2-2-2-22-200-2200-2-22222000000000000000000000000002-22-20000
χ342222-2-2-222-2-2-2-2-22-200-2200-2-2222200000000000000000000000000-22-220000
χ352222-2-2-222-2-2-2-2-2-22002-20022-2-222000000000000000000000000002-2-220000
χ362222-2-2-222-2-2-2-2-2-22002-20022-2-22200000000000000000000000000-222-20000
χ372-22-22-222-2-20000002i−2i002i−2i2-22-20000002i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ382-22-22-222-2-20000002i−2i002i−2i2-22-20000002i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ392-22-22-222-2-20000002i−2i002i−2i-22-22000000−2i2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ402-22-22-222-2-20000002i−2i002i−2i-22-22000000−2i2i−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ412-22-22-222-2-2000000−2i2i00−2i2i2-22-2000000−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ422-22-22-222-2-2000000−2i2i00−2i2i2-22-2000000−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ432-22-22-222-2-2000000−2i2i00−2i2i-22-220000002i−2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ442-22-22-222-2-2000000−2i2i00−2i2i-22-220000002i−2i−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ452-22-2-222-22-222-2-2002i−2i00−2i2i00002-2002i−2i0000002-2-2200002i−2i−2i2i000000000000
χ462-22-2-222-22-222-2-2002i−2i00−2i2i00002-2002i−2i000000-222-20000−2i2i2i−2i000000000000
χ472-22-2-222-22-222-2-200−2i2i002i−2i00002-200−2i2i0000002-2-220000−2i2i2i−2i000000000000
χ482-22-2-222-22-222-2-200−2i2i002i−2i00002-200−2i2i000000-222-200002i−2i−2i2i000000000000
χ492-22-2-222-22-2-2-222002i−2i00−2i2i0000-2200−2i2i002-2-2200002i−2i−2i2i0000000000000000
χ502-22-2-222-22-2-2-222002i−2i00−2i2i0000-2200−2i2i00-222-20000−2i2i2i−2i0000000000000000
χ512-22-2-222-22-2-2-22200−2i2i002i−2i0000-22002i−2i002-2-220000−2i2i2i−2i0000000000000000
χ522-22-2-222-22-2-2-22200−2i2i002i−2i0000-22002i−2i00-222-200002i−2i−2i2i0000000000000000
χ53444444-4-4-4-400004400-4-4000000000000000000000000000000000000000000
χ54444444-4-4-4-40000-4-40044000000000000000000000000000000000000000000
χ554-44-44-4-4-44444-4-4000000000000-440000000000000000000000000000000000
χ564-44-44-4-4-444-4-4440000000000004-40000000000000000000000000000000000
χ574-44-4-44-44-440000000000004-4-44000000000000000000000000000000000000
χ584-44-4-44-44-44000000000000-444-4000000000000000000000000000000000000
χ5988-8-800000042−4242−42000000000000000000000000000000000000000000000000
χ6088-8-8000000−4242−4242000000000000000000000000000000000000000000000000
χ618-8-8800000042−42−4242000000000000000000000000000000000000000000000000
χ628-8-88000000−424242−42000000000000000000000000000000000000000000000000

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