Finite Group Databasebeta

← Group #329066

Character table — Group #329066

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444444444448888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-11111-1-1111-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-11111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
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
χ9111111111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ10111111111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-11
χ12111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11-1
χ13111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-111-1-11111-1-1-1-111-1-1-1-11111-1-1-11
χ14111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-111-1-1-1-1-1-1111111-1-111-1-1-1-1111-1
χ15111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-1
χ16111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ172222222222-2-2222222-2-222-2-2-2-20000222200-2-2-200-2-20000000000000000000000
χ182222222222-2-2222222-2-222-2-2-2-20000-2-2-2-20022-200220000000000000000000000
χ192222222222-2-2-2-2-2-222-2-2-2-222-2-2000022-2-200-2-2200220000000000000000000000
χ202222222222-2-2-2-2-2-222-2-2-2-222-2-20000-2-2220022200-2-20000000000000000000000
χ2122222222-2-2222222-2-222-2-222-2-222220000-2-200-2-2-2000000000000000000000000
χ2222222222-2-2222222-2-222-2-222-2-2-2-2-2-200002200-222000000000000000000000000
χ2322222222-2-222-2-2-2-2-2-22222-2-2-2-222-2-20000-2-200222000000000000000000000000
χ2422222222-2-222-2-2-2-2-2-22222-2-2-2-2-2-222000022002-2-2000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-22200000000000020000000000002-22-20000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-2220000000000002000000000000-22-220000000000
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
χ29222-2-2-22-2002-22i2i−2i−2i002-2002i−2i002-22i−2i0000000000000i2i2−i2−i222−2−20000i2−i22−2000000
χ30222-2-2-22-2002-22i2i−2i−2i002-2002i−2i002-22i−2i0000000000000−i2−i2i2i2−2−2220000−i2i2−22000000
χ31222-2-2-22-2002-22i2i−2i−2i002-2002i−2i00-22−2i2i0000000000000i2i2−i2−i222−2−20000−i2i2−22000000
χ32222-2-2-22-2002-22i2i−2i−2i002-2002i−2i00-22−2i2i0000000000000−i2−i2i2i2−2−2220000i2−i22−2000000
χ33222-2-2-22-2002-2−2i−2i2i2i002-200−2i2i002-2−2i2i0000000000000i2i2−i2−i2−2−2220000i2−i2−22000000
χ34222-2-2-22-2002-2−2i−2i2i2i002-200−2i2i002-2−2i2i0000000000000−i2−i2i2i222−2−20000−i2i22−2000000
χ35222-2-2-22-2002-2−2i−2i2i2i002-200−2i2i00-222i−2i0000000000000i2i2−i2−i2−2−2220000−i2i22−2000000
χ36222-2-2-22-2002-2−2i−2i2i2i002-200−2i2i00-222i−2i0000000000000−i2−i2i2i222−2−20000i2−i2−22000000
χ372-2-222-22-22-2002i−2i2i−2i2-2002i−2i000000002-22i−2i000000000i2−i2i2−i22−22−200000000i2−i22−200
χ382-2-222-22-22-2002i−2i2i−2i2-2002i−2i000000002-22i−2i000000000−i2i2−i2i2−22−2200000000−i2i2−2200
χ392-2-222-22-22-2002i−2i2i−2i2-2002i−2i00000000-22−2i2i000000000i2−i2i2−i22−22−200000000−i2i2−2200
χ402-2-222-22-22-2002i−2i2i−2i2-2002i−2i00000000-22−2i2i000000000−i2i2−i2i2−22−2200000000i2−i22−200
χ412-2-222-22-22-200−2i2i−2i2i2-200−2i2i000000002-2−2i2i000000000i2−i2i2−i2−22−2200000000i2−i2−2200
χ422-2-222-22-22-200−2i2i−2i2i2-200−2i2i000000002-2−2i2i000000000−i2i2−i2i22−22−200000000−i2i22−200
χ432-2-222-22-22-200−2i2i−2i2i2-200−2i2i00000000-222i−2i000000000i2−i2i2−i2−22−2200000000−i2i22−200
χ442-2-222-22-22-200−2i2i−2i2i2-200−2i2i00000000-222i−2i000000000−i2i2−i2i22−22−200000000i2−i2−2200
χ45444-4-4-44-400-444i4i−4i−4i00-4400−4i4i00000000000000000000000000000000000000000
χ46444-4-4-44-400-44−4i−4i4i4i00-44004i−4i00000000000000000000000000000000000000000
χ4744-44-44-4-444440000-4-4-4-40000-44000000000000000000000000000000000000000
χ4844-44-44-4-444-4-40000-4-44400004-4000000000000000000000000000000000000000
χ4944-44-44-4-4-4-444000044-4-400004-4000000000000000000000000000000000000000
χ5044-44-44-4-4-4-4-4-4000044440000-44000000000000000000000000000000000000000
χ5144-4-44-4-44004-4000000-4400000000000000000004i−4i000000000000000000000000
χ5244-4-44-4-44004-4000000-440000000000000000000−4i4i000000000000000000000000
χ5344-4-44-4-4400-440000004-4000000000000004i−4i00000000000000000000000000000
χ5444-4-44-4-4400-440000004-400000000000000−4i4i00000000000000000000000000000
χ554-444-4-4-444-4000000-44000000000000000000000004i−4i0000000000000000000000
χ564-444-4-4-444-4000000-4400000000000000000000000−4i4i0000000000000000000000
χ574-444-4-4-44-440000004-40000000000000000004i−4i000000000000000000000000000
χ584-444-4-4-44-440000004-4000000000000000000−4i4i000000000000000000000000000
χ594-4-444-44-4-44004i−4i4i−4i-4400−4i4i0000000000000000000000000000000000000000000
χ604-4-444-44-4-4400−4i4i−4i4i-44004i−4i0000000000000000000000000000000000000000000
χ614-4-4-4-444400004-4-440000000000000000000000000002-2-222-2-2200000000000000
χ624-4-4-4-444400004-4-44000000000000000000000000000-222-2-222-200000000000000
χ634-4-4-4-44440000-444-40000000000000000000000000002-2-22-222-200000000000000
χ644-4-4-4-44440000-444-4000000000000000000000000000-222-22-2-2200000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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