Finite Group Databasebeta

← Group #506357

Character table — Group #506357

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order1222224444888844448888884444888822444444444488881616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-1111111-1-111-1-1-1-11-11-11111-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111-1-111-1-1-1-11-11-1-1-1-1-1111111-1-1-1-1-1-11111
χ711111111111111-1-1-1-1111111-1-111-1-1-1-1-11-111111-1-1-1-1-1-111-1-1-1-11111
χ811111111111111-1-1-1-1111111-1-111-1-1-1-1-11-11-1-1-1-11111-1-1111111-1-1-1-1
χ91111111111-1-1-1-1111111-1-111-1-1-1-111-1-11-11-111-1-111-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-1111111-1-111-1-1-1-111-1-11-11-1-1-111-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-11-1111-1-111-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-11-11-1-111-1-11111-1-111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ17222222222222222222-2-222-2-2-2-2-2-2-2-222000000000000000000000000
χ1822222222222222-2-2-2-2-2-222-2-222-2-222-2-2000000000000000000000000
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−2i2-2002-200002i−2i00020-2000000002i−2i0000000000
χ222222-2-222-2-200002i2i−2i−2i2-2002-200002i−2i000-20200000000−2i2i0000000000
χ232222-2-222-2-200002i2i−2i−2i-2200-220000−2i2i0020-2000000000002i−2i00000000
χ242222-2-222-2-200002i2i−2i−2i-2200-220000−2i2i00-20200000000000−2i2i00000000
χ252222-2-222-2-20000−2i−2i2i2i2-2002-20000−2i2i00020-200000000−2i2i0000000000
χ262222-2-222-2-20000−2i−2i2i2i2-2002-20000−2i2i000-202000000002i−2i0000000000
χ272222-2-222-2-20000−2i−2i2i2i-2200-2200002i−2i0020-200000000000−2i2i00000000
χ282222-2-222-2-20000−2i−2i2i2i-2200-2200002i−2i00-202000000000002i−2i00000000
χ292-22-22-22-2-2222-2-22-22-2002-2000000002-20000000000000000i2−i2i2−i2i2−i2i2−i2
χ302-22-22-22-2-2222-2-22-22-2002-2000000002-20000000000000000−i2i2−i2i2−i2i2−i2i2
χ312-22-22-22-2-2222-2-2-22-22002-200000000-220000000000000000i2−i2i2−i2−i2i2−i2i2
χ322-22-22-22-2-2222-2-2-22-22002-200000000-220000000000000000−i2i2−i2i2i2−i2i2−i2
χ332-22-22-22-2-22-2-2222-22-200-2200000000-220000000000000000i2−i2−i2i2i2−i2−i2i2
χ342-22-22-22-2-22-2-2222-22-200-2200000000-220000000000000000−i2i2i2−i2−i2i2i2−i2
χ352-22-22-22-2-22-2-222-22-2200-22000000002-20000000000000000i2−i2−i2i2−i2i2i2−i2
χ362-22-22-22-2-22-2-222-22-2200-22000000002-20000000000000000−i2i2i2−i2i2−i2−i2i2
χ372-22-2-22-22-2222-2-2000022-22-2-2002-2000000002i−2i2i−2i0000000000000000
χ382-22-2-22-22-2222-2-2000022-22-2-2002-200000000−2i2i−2i2i0000000000000000
χ392-22-2-22-22-2222-2-20000-2-2-222200-220000000000002-22-2000000000000
χ402-22-2-22-22-2222-2-20000-2-2-222200-22000000000000-22-22000000000000
χ412-22-2-22-22-22-2-2220000222-2-2-200-22000000002i−2i−2i2i0000000000000000
χ422-22-2-22-22-22-2-2220000222-2-2-200-2200000000−2i2i2i−2i0000000000000000
χ432-22-2-22-22-22-2-2220000-2-22-222002-20000000000002-2-22000000000000
χ442-22-2-22-22-22-2-2220000-2-22-222002-2000000000000-222-2000000000000
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
χ494-44-44-4-444-4000000004-400-4400000000000000000000000000000000
χ504-44-44-4-444-400000000-44004-400000000000000000000000000000000
χ514-44-4-444-44-400004i−4i−4i4i00000000000000000000000000000000000000
χ524-44-4-444-44-40000−4i4i4i−4i00000000000000000000000000000000000000
χ5388-8-800000042−4242−42000000000000000000000000000000000000000000
χ5488-8-8000000−4242−4242000000000000000000000000000000000000000000
χ558-8-8800000042−42−4242000000000000000000000000000000000000000000
χ568-8-88000000−424242−42000000000000000000000000000000000000000000

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