Finite Group Databasebeta

← Group #500596

Character table — Group #500596

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order1222224444888844448888882444888822244444444488881616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-1111111-1-111-1-1-1-1111-1-1111-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111-1-1-1-1111111-1-111-1-1-1-111-11111-1-1-1-1-111-1-1-1-1-1-11111
χ711111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-111111-1-111-1-1-1-11111
χ811111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-1-1111111-1-11111-1-1-1-1
χ91111111111-1-1-1-1111111-1-111-1-1-1-1-1-111111-1-1-1-1111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-111-1-1-111-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-11-1-1111-1-11111-1-1-1-111-1-111
χ121111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-11111-1-1-111-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111111-1-11-1-111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-111-111-1-1111111-1-1-1-111
χ17222222222222222222-2-222-2-2-2-2-2-222-2-2000000000000000000000000
χ1822222222222222-2-2-2-2-2-222-2-222-2-2-2-222000000000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000
χ212222-2-222-2-200002i2i−2i−2i2-2002-20000002i−2i0002-20000000002i−2i00000000
χ222222-2-222-2-200002i2i−2i−2i2-2002-20000002i−2i000-22000000000−2i2i00000000
χ232222-2-222-2-200002i2i−2i−2i-2200-22000000−2i2i0020000-200002i−2i0000000000
χ242222-2-222-2-200002i2i−2i−2i-2200-22000000−2i2i00-2000020000−2i2i0000000000
χ252222-2-222-2-20000−2i−2i2i2i2-2002-2000000−2i2i0002-2000000000−2i2i00000000
χ262222-2-222-2-20000−2i−2i2i2i2-2002-2000000−2i2i000-220000000002i−2i00000000
χ272222-2-222-2-20000−2i−2i2i2i-2200-220000002i−2i0020000-20000−2i2i0000000000
χ282222-2-222-2-20000−2i−2i2i2i-2200-220000002i−2i00-20000200002i−2i0000000000
χ292-2-222-22-2-2222-2-22i−2i2i−2i002-20000002i−2i0000000000000000002−22−2i2−i2i2−i2
χ302-2-222-22-2-2222-2-22i−2i2i−2i002-20000002i−2i000000000000000000−22−22−i2i2−i2i2
χ312-2-222-22-2-2222-2-2−2i2i−2i2i002-2000000−2i2i0000000000000000002−22−2−i2i2−i2i2
χ322-2-222-22-2-2222-2-2−2i2i−2i2i002-2000000−2i2i000000000000000000−22−22i2−i2i2−i2
χ332-2-222-22-2-22-2-2222i−2i2i−2i00-22000000−2i2i0000000000000000002−2−22i2−i2−i2i2
χ342-2-222-22-2-22-2-2222i−2i2i−2i00-22000000−2i2i000000000000000000−222−2−i2i2i2−i2
χ352-2-222-22-2-22-2-222−2i2i−2i2i00-220000002i−2i0000000000000000002−2−22−i2i2i2−i2
χ362-2-222-22-2-22-2-222−2i2i−2i2i00-220000002i−2i000000000000000000−222−2i2−i2−i2i2
χ372-2-22-22-22-2222-2-200002-2-22-22002-200002-20002-200000000000000000
χ382-2-22-22-22-2222-2-200002-2-22-22002-20000-22000-2200000000000000000
χ392-2-22-22-22-2222-2-20000-22-222-200-220000000000002-22-2000000000000
χ402-2-22-22-22-2222-2-20000-22-222-200-22000000000000-22-22000000000000
χ412-2-22-22-22-22-2-22200002-22-2-2200-2200002-2000-2200000000000000000
χ422-2-22-22-22-22-2-22200002-22-2-2200-220000-220002-200000000000000000
χ432-2-22-22-22-22-2-2220000-222-22-2002-20000000000002-2-22000000000000
χ442-2-22-22-22-22-2-2220000-222-22-2002-2000000000000-222-2000000000000
χ45444444-4-4-4-4000000000000004-4000000000000000000000000000000
χ46444444-4-4-4-400000000000000-44000000000000000000000000000000
χ474444-4-4-4-4444444000000-4-40000000000000000000000000000000000
χ484444-4-4-4-444-4-4-4-4000000440000000000000000000000000000000000
χ494-4-444-4-444-4000000004400-4-400000000000000000000000000000000
χ504-4-444-4-444-400000000-4-4004400000000000000000000000000000000
χ514-4-44-444-44-400004-4-4400000000000000000000000000000000000000
χ524-4-44-444-44-40000-444-400000000000000000000000000000000000000
χ5388-8-80000004i2−4i24i2−4i2000000000000000000000000000000000000000000
χ5488-8-8000000−4i24i2−4i24i2000000000000000000000000000000000000000000
χ558-88-80000004i2−4i2−4i24i2000000000000000000000000000000000000000000
χ568-88-8000000−4i24i24i2−4i2000000000000000000000000000000000000000000

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