Finite Group Databasebeta

← Group #245103

Character table — Group #245103

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444888888161616161616161616161616161616161616161616161616
order12222222224444444444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-11-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-11-111-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1111-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-11111
χ811111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-11-11-1-111-1-1111111-1-1-1-1
χ91111111111-1-1-1-11111-1-1-1-11111-1-111-1-1111-1111-1-1-1-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-11111-1-1-1-11111-1-111-1-11-11111-11-1-1-1-111-1-1-1-111-1-111
χ111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-11-1-1-1-11-11111-1-111-1-111-1-111
χ121111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-11-1-1-11111111-1-111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-111-1-111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-11-1-1-1-1-1111111-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1111-111111-1-1-1-1-1-1-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-1-11-1-111-1-1111111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000000000
χ1822222222222222-2-2-2-22222-2-2-2-2-2-222-2-2000000000000000000000000
χ192222222222-2-2-2-222222222-2-2-2-222-2-2-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000
χ212222-2-222-2-20000000022-2-222-2-200002-200200-2002-200000000000000
χ222222-2-222-2-20000000022-2-222-2-200002-200-200200-2200000000000000
χ232222-2-222-2-20000000022-2-2-2-2220000-222000-2000002-2000000000000
χ242222-2-222-2-20000000022-2-2-2-2220000-22-2000200000-22000000000000
χ252222-2-222-2-200000000-2-22222-2-20000-2200200-200-2200000000000000
χ262222-2-222-2-200000000-2-22222-2-20000-2200-2002002-200000000000000
χ272222-2-222-2-200000000-2-222-2-22200002-22000-200000-22000000000000
χ282222-2-222-2-200000000-2-222-2-22200002-2-20002000002-2000000000000
χ292222-2-2-2-222000022-2-200002-22-2002-2000002000-200002-20000000000
χ302222-2-2-2-222000022-2-200002-22-2002-200000-200020000-220000000000
χ312222-2-2-2-222000022-2-20000-22-2200-2200020000-200000002-200000000
χ322222-2-2-2-222000022-2-20000-22-2200-22000-2000020000000-2200000000
χ332222-2-2-2-2220000-2-22200002-22-200-22000002000-20000-220000000000
χ342222-2-2-2-2220000-2-22200002-22-200-2200000-2000200002-20000000000
χ352222-2-2-2-2220000-2-2220000-22-22002-200020000-20000000-2200000000
χ362222-2-2-2-2220000-2-2220000-22-22002-2000-20000200000002-200000000
χ372-22-22-22-22-200002i−2i2i−2i2i−2i2i−2i00002-2000000000000000000002−22−2i2−i2i2−i2
χ382-22-22-22-22-200002i−2i2i−2i2i−2i2i−2i00002-200000000000000000000−22−22−i2i2−i2i2
χ392-22-22-22-22-200002i−2i2i−2i−2i2i−2i2i0000-22000000000000000000002−2−22i2−i2−i2i2
χ402-22-22-22-22-200002i−2i2i−2i−2i2i−2i2i0000-2200000000000000000000−222−2−i2i2i2−i2
χ412-22-22-22-22-20000−2i2i−2i2i2i−2i2i−2i0000-22000000000000000000002−2−22−i2i2i2−i2
χ422-22-22-22-22-20000−2i2i−2i2i2i−2i2i−2i0000-2200000000000000000000−222−2i2−i2−i2i2
χ432-22-22-22-22-20000−2i2i−2i2i−2i2i−2i2i00002-2000000000000000000002−22−2−i2i2−i2i2
χ442-22-22-22-22-20000−2i2i−2i2i−2i2i−2i2i00002-200000000000000000000−22−22i2−i2i2−i2
χ45444444-4-4-4-40000000000004-4-44000000000000000000000000000000
χ46444444-4-4-4-4000000000000-444-4000000000000000000000000000000
χ474-44-44-4-44-444i4i−4i−4i000000000000000000000000000000000000000000
χ484-44-44-4-44-44−4i−4i4i4i000000000000000000000000000000000000000000
χ494-44-4-444-4-44000000004i−4i−4i4i0000000000000000000000000000000000
χ504-44-4-444-4-4400000000−4i4i4i−4i0000000000000000000000000000000000
χ514-44-4-44-444-400004i−4i−4i4i00000000000000000000000000000000000000
χ524-44-4-44-444-40000−4i4i4i−4i00000000000000000000000000000000000000
χ5388-8-80000004-44-4000000000000000000000000000000000000000000
χ5488-8-8000000-44-44000000000000000000000000000000000000000000
χ558-8-880000004i−4i−4i4i000000000000000000000000000000000000000000
χ568-8-88000000−4i4i4i−4i000000000000000000000000000000000000000000

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