Finite Group Databasebeta

← Group #499656

Character table — Group #499656

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444888888161616161616161616161616161616161616161616161616
order1222224444444444448888888844888822222244444488881616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-1-1-1-1-11111-1-111-1-111111-11-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-11-11-1-1-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11-1111111-1-1-1-1-1-11111
χ811111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11-111111-1-1111111-1-1-1-1
χ91111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-11-11-111-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-11-1111-1-111-1-1-1-111-1-111
χ111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-11-1-1-111-1-111-1-111-1-111
χ121111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-11-11-1-11111-1-111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1111111-1-1-1-111
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
χ192222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ212222-2-222-2-200002i2i−2i−2i2i2i−2i−2i22-2-20000000000020-200002i−2i0000000000
χ222222-2-222-2-200002i2i−2i−2i2i2i−2i−2i22-2-200000000000-2020000−2i2i0000000000
χ232222-2-222-2-200002i2i−2i−2i−2i−2i2i2i-2-222000000000020-200000002i−2i00000000
χ242222-2-222-2-200002i2i−2i−2i−2i−2i2i2i-2-2220000000000-2020000000−2i2i00000000
χ252222-2-222-2-20000−2i−2i2i2i2i2i−2i−2i-2-222000000000020-20000000−2i2i00000000
χ262222-2-222-2-20000−2i−2i2i2i2i2i−2i−2i-2-2220000000000-20200000002i−2i00000000
χ272222-2-222-2-20000−2i−2i2i2i−2i−2i2i2i22-2-20000000000020-20000−2i2i0000000000
χ282222-2-222-2-20000−2i−2i2i2i−2i−2i2i2i22-2-200000000000-20200002i−2i0000000000
χ292-2-222-22-22-200002i−2i2i−2i2i−2i2i−2i2-22-2000000002-20000002i−2i000000000000
χ302-2-222-22-22-200002i−2i2i−2i2i−2i2i−2i2-22-200000000-22000000−2i2i000000000000
χ312-2-222-22-22-200002i−2i2i−2i−2i2i−2i2i-22-220000002-20000002i−2i00000000000000
χ322-2-222-22-22-200002i−2i2i−2i−2i2i−2i2i-22-22000000-22000000−2i2i00000000000000
χ332-2-222-22-22-20000−2i2i−2i2i2i−2i2i−2i-22-220000002-2000000−2i2i00000000000000
χ342-2-222-22-22-20000−2i2i−2i2i2i−2i2i−2i-22-22000000-220000002i−2i00000000000000
χ352-2-222-22-22-20000−2i2i−2i2i−2i2i−2i2i2-22-2000000002-2000000−2i2i000000000000
χ362-2-222-22-22-20000−2i2i−2i2i−2i2i−2i2i2-22-200000000-220000002i−2i000000000000
χ372-2-22-222-2-2200002-2-222-2-222-2-2200000000000000000000002-2002-200
χ382-2-22-222-2-2200002-2-222-2-222-2-220000000000000000000000-2200-2200
χ392-2-22-222-2-2200002-2-22-222-2-222-20000000000000000000000002-2002-2
χ402-2-22-222-2-2200002-2-22-222-2-222-2000000000000000000000000-2200-22
χ412-2-22-222-2-220000-222-22-2-22-222-20000000000000000000000002-200-22
χ422-2-22-222-2-220000-222-22-2-22-222-2000000000000000000000000-22002-2
χ432-2-22-222-2-220000-222-2-222-22-2-2200000000000000000000002-200-2200
χ442-2-22-222-2-220000-222-2-222-22-2-220000000000000000000000-22002-200
χ45444444-4-4-4-400000000000000004-40000000000000000000000000000
χ46444444-4-4-4-40000000000000000-440000000000000000000000000000
χ474444-4-4-4-4440000000000000000004-400000000000000000000000000
χ484444-4-4-4-444000000000000000000-4400000000000000000000000000
χ494-4-444-4-44-4444-4-4000000000000000000000000000000000000000000
χ504-4-444-4-44-44-4-444000000000000000000000000000000000000000000
χ514-4-44-44-444-4000000000000000000004-4000000000000000000000000
χ524-4-44-44-444-400000000000000000000-44000000000000000000000000
χ5388-8-80000004-44-4000000000000000000000000000000000000000000
χ5488-8-8000000-44-44000000000000000000000000000000000000000000
χ558-88-80000004-4-44000000000000000000000000000000000000000000
χ568-88-8000000-444-4000000000000000000000000000000000000000000

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