Finite Group Databasebeta

← Group #499951

Character table — Group #499951

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444888888161616161616161616161616161616161616161616161616
order1222224444224444448888888844888822224444444488881616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111
χ711111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ91111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-11111-1-111-1-111-1-1
χ101111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-11-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1111-111-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1111-1111-1-1-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1111-1-1-1-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1111-11-1-1-1-111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-1-11-11111-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1-1-11111111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ1822222222222222-2-2-2-22222-2-2-2-2-2-2-2-222000000000000000000000000
χ192222222222-2-2-2-222222222-2-2-2-2-2-222-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000
χ212222-2-222-2-200002i2i−2i−2i000022-2-200002i−2i0002000-20000002i−2i00000000
χ222222-2-222-2-200002i2i−2i−2i000022-2-200002i−2i000-20002000000−2i2i00000000
χ232222-2-222-2-200002i2i−2i−2i0000-2-2220000−2i2i002000-2000002i−2i0000000000
χ242222-2-222-2-200002i2i−2i−2i0000-2-2220000−2i2i00-2000200000−2i2i0000000000
χ252222-2-222-2-20000−2i−2i2i2i000022-2-20000−2i2i0002000-2000000−2i2i00000000
χ262222-2-222-2-20000−2i−2i2i2i000022-2-20000−2i2i000-200020000002i−2i00000000
χ272222-2-222-2-20000−2i−2i2i2i0000-2-22200002i−2i002000-200000−2i2i0000000000
χ282222-2-222-2-20000−2i−2i2i2i0000-2-22200002i−2i00-20002000002i−2i0000000000
χ292-2-22-222-2-222-22-22-22-2000000002-2000000000000000000002−22−22−22−2
χ302-2-22-222-2-222-22-22-22-2000000002-200000000000000000000−22−22−22−22
χ312-2-22-222-2-222-22-2-22-2200000000-22000000000000000000002−22−2−22−22
χ322-2-22-222-2-222-22-2-22-2200000000-2200000000000000000000−22−222−22−2
χ332-2-22-222-2-22-22-222-22-200000000-22000000000000000000002−2−222−2−22
χ342-2-22-222-2-22-22-222-22-200000000-2200000000000000000000−222−2−222−2
χ352-2-22-222-2-22-22-22-22-22000000002-2000000000000000000002−2−22−222−2
χ362-2-22-222-2-22-22-22-22-22000000002-200000000000000000000−222−22−2−22
χ372-2-22-22-222-22-2-22000000002-22-2002-20000002-200002-2000000000000
χ382-2-22-22-222-22-2-22000000002-22-2002-2000000-220000-22000000000000
χ392-2-22-22-222-22-2-2200000000-22-2200-22002-20000002-200000000000000
χ402-2-22-22-222-22-2-2200000000-22-2200-2200-22000000-2200000000000000
χ412-2-22-22-222-2-222-2000000002-22-200-220000002-20000-22000000000000
χ422-2-22-22-222-2-222-2000000002-22-200-22000000-2200002-2000000000000
χ432-2-22-22-222-2-222-200000000-22-22002-2002-2000000-2200000000000000
χ442-2-22-22-222-2-222-200000000-22-22002-200-220000002-200000000000000
χ45444444-4-4-4-444-4-4000000000000000000000000000000000000000000
χ46444444-4-4-4-4-4-444000000000000000000000000000000000000000000
χ474444-4-4-4-4440000000044-4-40000000000000000000000000000000000
χ484444-4-4-4-44400000000-4-4440000000000000000000000000000000000
χ494-4-444-44-44-400004i−4i−4i4i00000000000000000000000000000000000000
χ504-4-444-44-44-40000−4i4i4i−4i00000000000000000000000000000000000000
χ514-4-444-4-44-440000000000004-4-44000000000000000000000000000000
χ524-4-444-4-44-44000000000000-444-4000000000000000000000000000000
χ5388-8-800000000000000004i2−4i20000000000000000000000000000000000
χ5488-8-80000000000000000−4i24i20000000000000000000000000000000000
χ558-88-8000000000000004i2−4i2000000000000000000000000000000000000
χ568-88-800000000000000−4i24i2000000000000000000000000000000000000

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