Finite Group Databasebeta

← Group #512126

Character table — Group #512126

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444488888888888888888888888888816161616323232323232
order12222222224444442222444444444444444444444442444888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ61111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ91111-1-1-1-11111111111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-11-1
χ101111-1-1-1-11111111111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-11-11-11-11-11
χ111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111-11-11-1-11-11
χ121111-1-1-1-11111111111-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-11-11-111-11-1
χ131111-1-1-1-111111111-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1111-11-1-111-1-11
χ141111-1-1-1-111111111-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-111-11-111-1-111-1
χ151111-1-1-1-111111111-1-111-1-1-1-1-11111-1-1-1-111-1-11111-1-11-11-1-11-111-1
χ161111-1-1-1-111111111-1-111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-11-111-11-1-11
χ17222222222222-2-2-2-200002-2-20000222200000000-2-2-2-20000000000
χ18222222222222-2-2-2-200002-2-20000-2-2-2-20000000022220000000000
χ192222222222-2-222-2-20000-22-2222200000000-2-2-2-200000000000000
χ202222222222-2-222-2-20000-22-2-2-2-2-200000000222200000000000000
χ212222222222-2-2-2-2222222-2-2200000000-2-2-2-2000000000000000000
χ222222222222-2-2-2-222-2-2-2-2-2-22000000002222000000000000000000
χ232222-2-2-2-22222-2-2-2-20000-222000022-2-200000000-2-2220000000000
χ242222-2-2-2-22222-2-2-2-20000-2220000-2-2220000000022-2-20000000000
χ252222-2-2-2-222-2-222-2-200002-2222-2-200000000-2-22200000000000000
χ262222-2-2-2-222-2-222-2-200002-22-2-2220000000022-2-200000000000000
χ272222-2-2-2-222-2-2-2-22222-2-222-200000000-2-222000000000000000000
χ282222-2-2-2-222-2-2-2-222-2-22222-20000000022-2-2000000000000000000
χ292-22-200002-22-22-22-2002-2000002i−2i2i−2i00002-2002i−2i2i−2i000000000000
χ302-22-200002-22-22-22-2002-200000−2i2i−2i2i00002-200−2i2i−2i2i000000000000
χ312-22-200002-22-22-22-200-22000002i−2i−2i2i0000-22002i−2i−2i2i000000000000
χ322-22-200002-22-22-22-200-2200000−2i2i2i−2i0000-2200−2i2i2i−2i000000000000
χ332-22-200002-22-2-22-222-2000002i−2i002i−2i002-2002i−2i00−2i2i000000000000
χ342-22-200002-22-2-22-222-200000−2i2i00−2i2i002-200−2i2i002i−2i000000000000
χ352-22-200002-22-2-22-22-22000002i−2i00−2i2i00-22002i−2i002i−2i000000000000
χ362-22-200002-22-2-22-22-2200000−2i2i002i−2i00-2200−2i2i00−2i2i000000000000
χ372-22-200002-2-222-2-222-200000002i−2i002i−2i-220000−2i2i002i−2i0000000000
χ382-22-200002-2-222-2-222-20000000−2i2i00−2i2i-2200002i−2i00−2i2i0000000000
χ392-22-200002-2-222-2-22-2200000002i−2i00−2i2i2-20000−2i2i00−2i2i0000000000
χ402-22-200002-2-222-2-22-220000000−2i2i002i−2i2-200002i−2i002i−2i0000000000
χ412-22-200002-2-22-222-2002-20002i−2i00002i−2i00-22−2i2i0000−2i2i0000000000
χ422-22-200002-2-22-222-2002-2000−2i2i0000−2i2i00-222i−2i00002i−2i0000000000
χ432-22-200002-2-22-222-200-220002i−2i0000−2i2i002-2−2i2i00002i−2i0000000000
χ442-22-200002-2-22-222-200-22000−2i2i00002i−2i002-22i−2i0000−2i2i0000000000
χ45444444-4-4-4-400000000000000000000000000000000022-2-2000000
χ46444444-4-4-4-4000000000000000000000000000000000-2-222000000
χ474444-4-444-4-40000000000000000000000000000000002-2-22000000
χ484444-4-444-4-4000000000000000000000000000000000-222-2000000
χ4988-8-88-800000000000000000000000000000000000000000000000
χ5088-8-8-8800000000000000000000000000000000000000000000000
χ518-88-80000-880000000000000000000000000000000000000000000
χ528-8-88008-8000000000000000000000000000000000000000000000
χ538-8-8800-88000000000000000000000000000000000000000000000

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