Finite Group Databasebeta

← Group #499511

Character table — Group #499511

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444888888161616161616161616161616161616161616161616161616
order1222224444444444448888888824888824444444444488881616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1111111-1-1-1-1
χ611111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1111-1-111-1-111-1-1-1-11111
χ711111111111111-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-11111
χ811111111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-1-1
χ91111111111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-11-1-1111111-1-1-1-111-1-111
χ111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-111-1-1-1-1-1-111-1-111-1-111
χ121111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-111-1-1-1-1-11111-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1111111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ192222222222-2-2-2-22222-2-22222-2-2-2-222-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-222000000000000000000000000
χ212222-2-222-2-22i2i−2i−2i00002-22i2i−2i−2i2-200000002-20000000002i−2i0000000000
χ222222-2-222-2-22i2i−2i−2i00002-22i2i−2i−2i2-20000000-22000000000−2i2i0000000000
χ232222-2-222-2-22i2i−2i−2i0000-22−2i−2i2i2i-2200000020000-2000000002i−2i00000000
χ242222-2-222-2-22i2i−2i−2i0000-22−2i−2i2i2i-22000000-20000200000000−2i2i00000000
χ252222-2-222-2-2−2i−2i2i2i00002-2−2i−2i2i2i2-200000002-2000000000−2i2i0000000000
χ262222-2-222-2-2−2i−2i2i2i00002-2−2i−2i2i2i2-20000000-220000000002i−2i0000000000
χ272222-2-222-2-2−2i−2i2i2i0000-222i2i−2i−2i-2200000020000-200000000−2i2i00000000
χ282222-2-222-2-2−2i−2i2i2i0000-222i2i−2i−2i-22000000-200002000000002i−2i00000000
χ292-2-222-2-222-22i−2i2i−2i00002-22i−2i2i−2i-220000000000002-2002i−2i000000000000
χ302-2-222-2-222-22i−2i2i−2i00002-22i−2i2i−2i-22000000000000-2200−2i2i000000000000
χ312-2-222-2-222-22i−2i2i−2i0000-22−2i2i−2i2i2-20000000002i−2i0002-200000000000000
χ322-2-222-2-222-22i−2i2i−2i0000-22−2i2i−2i2i2-2000000000−2i2i000-2200000000000000
χ332-2-222-2-222-2−2i2i−2i2i00002-2−2i2i−2i2i-220000000000002-200−2i2i000000000000
χ342-2-222-2-222-2−2i2i−2i2i00002-2−2i2i−2i2i-22000000000000-22002i−2i000000000000
χ352-2-222-2-222-2−2i2i−2i2i0000-222i−2i2i−2i2-20000000002i−2i000-2200000000000000
χ362-2-222-2-222-2−2i2i−2i2i0000-222i−2i2i−2i2-2000000000−2i2i0002-200000000000000
χ372-2-22-22-22-222-2-220000222-2-22-2-200000000000000000000002i−2i2i−2i0000
χ382-2-22-22-22-222-2-220000222-2-22-2-20000000000000000000000−2i2i−2i2i0000
χ392-2-22-22-22-222-2-220000-2-2-222-222000000000000000000000000002-22-2
χ402-2-22-22-22-222-2-220000-2-2-222-22200000000000000000000000000-22-22
χ412-2-22-22-22-22-222-2000022-222-2-2-200000000000000000000002i−2i−2i2i0000
χ422-2-22-22-22-22-222-2000022-222-2-2-20000000000000000000000−2i2i2i−2i0000
χ432-2-22-22-22-22-222-20000-2-22-2-2222000000000000000000000000002-2-22
χ442-2-22-22-22-22-222-20000-2-22-2-222200000000000000000000000000-222-2
χ45444444-4-4-4-400000000000000004-40000000000000000000000000000
χ46444444-4-4-4-40000000000000000-440000000000000000000000000000
χ474444-4-4-4-444000000000000000000004-4000000000000000000000000
χ484444-4-4-4-44400000000000000000000-44000000000000000000000000
χ494-4-444-44-4-4400004i4i−4i−4i00000000000000000000000000000000000000
χ504-4-444-44-4-440000−4i−4i4i4i00000000000000000000000000000000000000
χ514-4-44-444-44-40000000000000000004i−4i00000000000000000000000000
χ524-4-44-444-44-4000000000000000000−4i4i00000000000000000000000000
χ5388-8-800000000004-44-400000000000000000000000000000000000000
χ5488-8-80000000000-44-4400000000000000000000000000000000000000
χ558-88-800000000004i−4i−4i4i00000000000000000000000000000000000000
χ568-88-80000000000−4i4i4i−4i00000000000000000000000000000000000000

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