Finite Group Databasebeta

← Group #501655

Character table — Group #501655

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order122222444488882244888888888844448816161616161616161616161616161616244488882444
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
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ911111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-11111-1-1
χ1011111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111
χ1111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111-1-111
χ1211111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-111-1-11-1-11
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-111-111-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-111-1-1-111-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-1111-1-11
χ172222222222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000
χ182222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-222222222-2-222-2-20000000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-2220000000000000000000000000000
χ212222-2-222-2-222222-22-2-2-222-2-20000000000000000000000000022-2-200000000
χ222222-2-222-2-222222-22-2-2-222-2-200000000000000000000000000-2-22200000000
χ232222-2-222-2-22222-22-22-2-2-2-222000000000000000000000000002-2-2200000000
χ242222-2-222-2-22222-22-22-2-2-2-22200000000000000000000000000-222-200000000
χ252222-2-222-2-2-2-2-2-22-22-222-2-2220000000000000000000000000000002i−2i2i−2i0000
χ262222-2-222-2-2-2-2-2-22-22-222-2-222000000000000000000000000000000−2i2i−2i2i0000
χ272222-2-222-2-2-2-2-2-2-22-222222-2-20000000000000000000000000000002i−2i−2i2i0000
χ282222-2-222-2-2-2-2-2-2-22-222222-2-2000000000000000000000000000000−2i2i2i−2i0000
χ292222-2-2-2-22200002-2-2200000022-2-200002-222−2−222−2−222−2−222−2−2000000000000
χ302222-2-2-2-22200002-2-2200000022-2-200002-2−2−222−2−222−2−222−2−222000000000000
χ312222-2-2-2-22200002-2-22000000-2-2220000-2222−2−222−2−2−2−222−2−222000000000000
χ322222-2-2-2-22200002-2-22000000-2-2220000-22−2−222−2−22222−2−222−2−2000000000000
χ332222-2-2-2-2220000-222-200000022-2-20000-2222−2−2−2−22222−2−2−2−222000000000000
χ342222-2-2-2-2220000-222-200000022-2-20000-22−2−22222−2−2−2−22222−2−2000000000000
χ352222-2-2-2-2220000-222-2000000-2-22200002-222−2−2−2−222−2−22222−2−2000000000000
χ362222-2-2-2-2220000-222-2000000-2-22200002-2−2−22222−2−222−2−2−2−222000000000000
χ372-22-22-22-2-2200000000002i−2i2i−2i2-22-2002i−2i002−22−2i2−i2i2−i22−22−2i2−i2i2−i2000000000000
χ382-22-22-22-2-2200000000002i−2i2i−2i2-22-2002i−2i00−22−22−i2i2−i2i2−22−22−i2i2−i2i2000000000000
χ392-22-22-22-2-2200000000002i−2i2i−2i-22-2200−2i2i002−22−2i2−i2i2−i2−22−22−i2i2−i2i2000000000000
χ402-22-22-22-2-2200000000002i−2i2i−2i-22-2200−2i2i00−22−22−i2i2−i2i22−22−2i2−i2i2−i2000000000000
χ412-22-22-22-2-220000000000−2i2i−2i2i2-22-200−2i2i002−22−2−i2i2−i2i22−22−2−i2i2−i2i2000000000000
χ422-22-22-22-2-220000000000−2i2i−2i2i2-22-200−2i2i00−22−22i2−i2i2−i2−22−22i2−i2i2−i2000000000000
χ432-22-22-22-2-220000000000−2i2i−2i2i-22-22002i−2i002−22−2−i2i2−i2i2−22−22i2−i2i2−i2000000000000
χ442-22-22-22-2-220000000000−2i2i−2i2i-22-22002i−2i00−22−22i2−i2i2−i22−22−2−i2i2−i2i2000000000000
χ452-22-2-22-22-2222-2-200002-200002-2-222-2000000002i−2i−2i2i00002i−2i−2i2i000000000000
χ462-22-2-22-22-2222-2-200002-200002-2-222-200000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ472-22-2-22-22-2222-2-200002-20000-222-2-22000000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ482-22-2-22-22-2222-2-200002-20000-222-2-2200000000−2i2i2i−2i00002i−2i−2i2i000000000000
χ492-22-2-22-22-22-2-2220000-2200002-2-22-2200002-2-2200002-2-220000000000000000
χ502-22-2-22-22-22-2-2220000-2200002-2-22-220000-222-20000-222-20000000000000000
χ512-22-2-22-22-22-2-2220000-220000-222-22-200002-2-220000-222-20000000000000000
χ522-22-2-22-22-22-2-2220000-220000-222-22-20000-222-200002-2-220000000000000000
χ53444444-4-4-4-4000044-4-400000000000000000000000000000000000000000000
χ54444444-4-4-4-40000-4-44400000000000000000000000000000000000000000000
χ554-44-44-4-444-444-4-40000-44000000000000000000000000000000000000000000
χ564-44-44-4-444-4-4-44400004-4000000000000000000000000000000000000000000
χ574-44-4-444-44-400000000004i−4i−4i4i00000000000000000000000000000000000000
χ584-44-4-444-44-40000000000−4i4i4i−4i00000000000000000000000000000000000000
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).