Finite Group Databasebeta

← Group #329067

Character table — Group #329067

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444222244444444444448888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-1-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111111-1-1-1-111111-1-1-1-11111111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ10111111111111-1-1-1-111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ11111111111111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-111-1-1-1111111-1-1-1-111-1-111-1-1-1-111-11
χ12111111111111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-11111-1-11-1
χ13111111111111-1-1-1-111111-1-1-1-11-1-111-1-11111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-11
χ14111111111111-1-1-1-111111-1-1-1-11-1-111-1-11111-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1111-1
χ15111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-111-1-111-111111111-1-1-1-1-1-111-1-111-1-1111-1
χ16111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-111-1-111-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ172222222222-2-2222222-2-2-222-2-2-200220000-2-2-2-2-200220000000000000000000000
χ182222222222-2-2222222-2-2-222-2-2-200-2-200002222-200-2-20000000000000000000000
χ192222222222-2-2-2-2-2-222-2-2-2-2-222-200220000-2-222200-2-20000000000000000000000
χ202222222222-2-2-2-2-2-222-2-2-2-2-222-200-2-2000022-2-2200220000000000000000000000
χ2122222222-2-2222222-2-222-2-2-222-22200-2-2-2-20000-222000000000000000000000000
χ2222222222-2-2222222-2-222-2-2-222-2-2-20022220000-2-2-2000000000000000000000000
χ2322222222-2-222-2-2-2-2-2-222-222-2-2-22200-2-22200002-2-2000000000000000000000000
χ2422222222-2-222-2-2-2-2-2-222-222-2-2-2-2-20022-2-20000222000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-22-2-2-2-2200000000000020000000000002-22-20000000000
χ2622222222-2-2-2-22222-2-2-2-22-2-2-2-220000000000002000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000-20000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000-2000000000000-222-20000000000
χ292-222-2-22-2002-22i2i−2i−2i002-20002i−2i000002i−2i2-2000000000i2i2−i2−i222−2−200002−2i2−i2000000
χ302-222-2-22-2002-22i2i−2i−2i002-20002i−2i000002i−2i2-2000000000−i2−i2i2i2−2−2220000−22−i2i2000000
χ312-222-2-22-2002-22i2i−2i−2i002-20002i−2i00000−2i2i-22000000000i2i2−i2−i222−2−20000−22−i2i2000000
χ322-222-2-22-2002-22i2i−2i−2i002-20002i−2i00000−2i2i-22000000000−i2−i2i2i2−2−22200002−2i2−i2000000
χ332-222-2-22-2002-2−2i−2i2i2i002-2000−2i2i000002i−2i-22000000000i2i2−i2−i2−2−22200002−2−i2i2000000
χ342-222-2-22-2002-2−2i−2i2i2i002-2000−2i2i000002i−2i-22000000000−i2−i2i2i222−2−20000−22i2−i2000000
χ352-222-2-22-2002-2−2i−2i2i2i002-2000−2i2i00000−2i2i2-2000000000i2i2−i2−i2−2−2220000−22i2−i2000000
χ362-222-2-22-2002-2−2i−2i2i2i002-2000−2i2i00000−2i2i2-2000000000−i2−i2i2i222−2−200002−2−i2i2000000
χ372-2-2-2222-22-2002i−2i2i−2i2-20002i−2i000000000002i−2i2-200000i2−i2i2−i22−22−2000000002−2i2−i200
χ382-2-2-2222-22-2002i−2i2i−2i2-20002i−2i000000000002i−2i2-200000−i2i2−i2i2−22−2200000000−22−i2i200
χ392-2-2-2222-22-2002i−2i2i−2i2-20002i−2i00000000000−2i2i-2200000i2−i2i2−i22−22−200000000−22−i2i200
χ402-2-2-2222-22-2002i−2i2i−2i2-20002i−2i00000000000−2i2i-2200000−i2i2−i2i2−22−22000000002−2i2−i200
χ412-2-2-2222-22-200−2i2i−2i2i2-2000−2i2i000000000002i−2i-2200000i2−i2i2−i2−22−22000000002−2−i2i200
χ422-2-2-2222-22-200−2i2i−2i2i2-2000−2i2i000000000002i−2i-2200000−i2i2−i2i22−22−200000000−22i2−i200
χ432-2-2-2222-22-200−2i2i−2i2i2-2000−2i2i00000000000−2i2i2-200000i2−i2i2−i2−22−2200000000−22i2−i200
χ442-2-2-2222-22-200−2i2i−2i2i2-2000−2i2i00000000000−2i2i2-200000−i2i2−i2i22−22−2000000002−2−i2i200
χ45444-44-4-4-444440000-4-4-4-4-400004000000000000000000000000000000000000000
χ46444-44-4-4-444-4-40000-4-44440000-4000000000000000000000000000000000000000
χ47444-44-4-4-4-4-444000044-4-440000-4000000000000000000000000000000000000000
χ48444-44-4-4-4-4-4-4-400004444-400004000000000000000000000000000000000000000
χ4944-4-4-4-44400004-4-440000000000000000000000000002-2-222-2-2200000000000000
χ5044-4-4-4-44400004-4-44000000000000000000000000000-222-2-222-200000000000000
χ5144-4-4-4-4440000-444-40000000000000000000000000002-2-22-222-200000000000000
χ5244-4-4-4-4440000-444-4000000000000000000000000000-222-22-2-2200000000000000
χ534-444-4-44-400-444i4i−4i−4i00-44000−4i4i0000000000000000000000000000000000000000
χ544-444-4-44-400-44−4i−4i4i4i00-440004i−4i0000000000000000000000000000000000000000
χ554-44-4-44-44004-4000000-4400000000000000000004-4000000000000000000000000
χ564-44-4-44-44004-4000000-440000000000000000000-44000000000000000000000000
χ574-44-4-44-4400-440000004-40000004-40000000000000000000000000000000000000
χ584-44-4-44-4400-440000004-4000000-440000000000000000000000000000000000000
χ594-4-444-4-444-4000000-44000000000000000000000004-40000000000000000000000
χ604-4-444-4-444-4000000-4400000000000000000000000-440000000000000000000000
χ614-4-444-4-44-440000004-400000000004-400000000000000000000000000000000000
χ624-4-444-4-44-440000004-40000000000-4400000000000000000000000000000000000
χ634-4-4-4444-4-44004i−4i4i−4i-44000−4i4i000000000000000000000000000000000000000000
χ644-4-4-4444-4-4400−4i4i−4i4i-440004i−4i000000000000000000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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