Finite Group Databasebeta

← Group #499694

Character table — Group #499694

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444888888161616161616161616161616161616161616161616161616
order1222224444444488888888888844448822444444444488881616161616161616
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
χ511111111111111-1-1-1-111111111-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-111111111-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-1-1-11111
χ711111111111111-1-1-1-111111111-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-1-1-1-11111
χ811111111111111-1-1-1-111111111-1-1-1-1-1-1-11-11-1-111-1-111-1-1111111-1-1-1-1
χ91111111111-1-1-1-11111-1-1-1-11111-1-111-1-11-11-11111-1-1-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-11111-1-1-1-11111-1-111-1-11-11-1-1-1-1-11111-1-111-1-111-1-111
χ111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-11-111111-1-1-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-11-11-1-1-1-1111111-1-111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000000000000
χ192222222222-2-2-2-222222222-2-2-2-222-2-2-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222000000000000000000000000
χ212222-2-222-2-22i2i−2i−2i00002i2i−2i−2i22-2-2000000020-200000000002i−2i00000000
χ222222-2-222-2-22i2i−2i−2i00002i2i−2i−2i22-2-20000000-2020000000000−2i2i00000000
χ232222-2-222-2-22i2i−2i−2i0000−2i−2i2i2i-2-22200000020-20000000002i−2i0000000000
χ242222-2-222-2-22i2i−2i−2i0000−2i−2i2i2i-2-222000000-202000000000−2i2i0000000000
χ252222-2-222-2-2−2i−2i2i2i00002i2i−2i−2i-2-22200000020-2000000000−2i2i0000000000
χ262222-2-222-2-2−2i−2i2i2i00002i2i−2i−2i-2-222000000-2020000000002i−2i0000000000
χ272222-2-222-2-2−2i−2i2i2i0000−2i−2i2i2i22-2-2000000020-20000000000−2i2i00000000
χ282222-2-222-2-2−2i−2i2i2i0000−2i−2i2i2i22-2-20000000-20200000000002i−2i00000000
χ292-22-22-22-2-222-22-200002-22-22-22-2000000000000000000000000002i−2i2i−2i
χ302-22-22-22-2-222-22-200002-22-22-22-200000000000000000000000000−2i2i−2i2i
χ312-22-22-22-2-222-22-20000-22-22-22-2200000000000000000000002i−2i2i−2i0000
χ322-22-22-22-2-222-22-20000-22-22-22-220000000000000000000000−2i2i−2i2i0000
χ332-22-22-22-2-22-22-2200002-22-2-22-2200000000000000000000002i−2i−2i2i0000
χ342-22-22-22-2-22-22-2200002-22-2-22-220000000000000000000000−2i2i2i−2i0000
χ352-22-22-22-2-22-22-220000-22-222-22-2000000000000000000000000002i−2i−2i2i
χ362-22-22-22-2-22-22-220000-22-222-22-200000000000000000000000000−2i2i2i−2i
χ372-22-2-222-22-22i−2i−2i2i00002i−2i−2i2i2-2-2200000000002i−2i002-200000000000000
χ382-22-2-222-22-22i−2i−2i2i00002i−2i−2i2i2-2-220000000000−2i2i00-2200000000000000
χ392-22-2-222-22-22i−2i−2i2i0000−2i2i2i−2i-222-20000000000002i−2i002-2000000000000
χ402-22-2-222-22-22i−2i−2i2i0000−2i2i2i−2i-222-2000000000000−2i2i00-22000000000000
χ412-22-2-222-22-2−2i2i2i−2i00002i−2i−2i2i-222-20000000000002i−2i00-22000000000000
χ422-22-2-222-22-2−2i2i2i−2i00002i−2i−2i2i-222-2000000000000−2i2i002-2000000000000
χ432-22-2-222-22-2−2i2i2i−2i0000−2i2i2i−2i2-2-2200000000002i−2i00-2200000000000000
χ442-22-2-222-22-2−2i2i2i−2i0000−2i2i2i−2i2-2-220000000000−2i2i002-200000000000000
χ45444444-4-4-4-400000000000000004-40000000000000000000000000000
χ46444444-4-4-4-40000000000000000-440000000000000000000000000000
χ474444-4-4-4-444000044-4-400000000000000000000000000000000000000
χ484444-4-4-4-4440000-4-44400000000000000000000000000000000000000
χ494-44-44-4-444-4000000000000000000004-4000000000000000000000000
χ504-44-44-4-444-400000000000000000000-44000000000000000000000000
χ514-44-4-44-44-440000000000000000004-400000000000000000000000000
χ524-44-4-44-44-44000000000000000000-4400000000000000000000000000
χ5388-8-800000000000042−4200000000000000000000000000000000000000
χ5488-8-8000000000000−424200000000000000000000000000000000000000
χ558-8-88000000000042−420000000000000000000000000000000000000000
χ568-8-880000000000−42420000000000000000000000000000000000000000

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