Finite Group Databasebeta

← Group #276549

Character table — Group #276549

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-11-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-111111111-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-11
χ111111111111-1-1-1-111111111-1-1-1-111-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-11
χ121111111111-1-1-1-111111111-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11-1
χ131111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1
χ151111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111-1
χ161111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11
χ1722222222222222-22-2-2-22-2-2-2-22222-222-2-2-2-2000000000000000000000000000000
χ1822222222222222-22-2-2-22-2-2-2-222-2-2-2-2-22222000000000000000000000000000000
χ192222222222-2-2-2-2-22-2-2-22-2-222-2-2222-2-2-2-222000000000000000000000000000000
χ202222222222-2-2-2-2-22-2-2-22-2-222-2-2-2-222222-2-2000000000000000000000000000000
χ2122222222-2-222222-2222-2-2-222-2-200-200000022-2-222-2-20000000000000000000000
χ2222222222-2-222222-2222-2-2-222-2-200-2000000-2-222-2-2220000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-222-2-2-2-2002000000000000000000000000002i−2i2i−2i000000
χ2422222222-2-22222-2-2-2-2-2-222-2-2-2-200200000000000000000000000000−2i2i−2i2i000000
χ2522222222-2-2-2-2-2-22-2222-2-2-2-2-22200200000022-2-2-2-2220000000000000000000000
χ2622222222-2-2-2-2-2-22-2222-2-2-2-2-222002000000-2-22222-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-2000000000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-200000000000000000000000000−2i2i2i−2i000000
χ29222-2-22-2-22-200002-2-2-2222-200000002i−2i002i−2i000000002i2i−2i−2i0000002-20000000000
χ30222-2-22-2-22-200002-2-2-2222-200000002i−2i002i−2i00000000−2i−2i2i2i000000-220000000000
χ31222-2-22-2-22-200002-2-2-2222-20000000−2i2i00−2i2i000000002i2i−2i−2i000000-220000000000
χ32222-2-22-2-22-200002-2-2-2222-20000000−2i2i00−2i2i00000000−2i−2i2i2i0000002-20000000000
χ33222-2-22-2-22-20000-2-222-22-2200000002i−2i00−2i2i00000000000022-2-22i−2i000000000000
χ34222-2-22-2-22-20000-2-222-22-2200000002i−2i00−2i2i000000000000-2-222−2i2i000000000000
χ35222-2-22-2-22-20000-2-222-22-220000000−2i2i002i−2i00000000000022-2-2−2i2i000000000000
χ36222-2-22-2-22-20000-2-222-22-220000000−2i2i002i−2i000000000000-2-2222i−2i000000000000
χ372-2-2-2222-20022-2-2202-2-20002-200000000000002i−2i002i−2i2−22−22−22−200000000i2−i2i2−i200
χ382-2-2-2222-20022-2-2202-2-20002-200000000000002i−2i002i−2i−22−22−22−2200000000−i2i2−i2i200
χ392-2-2-2222-20022-2-2202-2-20002-20000000000000−2i2i00−2i2i2−22−22−22−200000000−i2i2−i2i200
χ402-2-2-2222-20022-2-2202-2-20002-20000000000000−2i2i00−2i2i−22−22−22−2200000000i2−i2i2−i200
χ412-2-2-2222-200-2-222202-2-2000-2200000000000002i−2i00−2i2i2−22−2−22−2200000000i2−i2−i2i200
χ422-2-2-2222-200-2-222202-2-2000-2200000000000002i−2i00−2i2i−22−222−22−200000000−i2i2i2−i200
χ432-2-2-2222-200-2-222202-2-2000-220000000000000−2i2i002i−2i2−22−2−22−2200000000−i2i2i2−i200
χ442-2-2-2222-200-2-222202-2-2000-220000000000000−2i2i002i−2i−22−222−22−200000000i2−i2−i2i200
χ45444-4-44-4-4-44000044-4-44-4-440000000000000000000000000000000000000000000
χ46444-4-44-4-4-440000-4444-4-44-40000000000000000000000000000000000000000000
χ4744-444-4-4-4004-44-400000000000000000000022−220022−22000000000000000000000000
χ4844-444-4-4-4004-44-4000000000000000000000−222200−2222000000000000000000000000
χ4944-444-4-4-400-44-4400000000000000000000022−2200−2222000000000000000000000000
χ5044-444-4-4-400-44-44000000000000000000000−22220022−22000000000000000000000000
χ514-444-4-44-44-4000004000-40000004-40000000000000000000000000000000000000
χ524-444-4-44-44-4000004000-4000000-440000000000000000000000000000000000000
χ534-444-4-44-4-4400000-40004000000000004i−4i00000000000000000000000000000000
χ544-444-4-44-4-4400000-4000400000000000−4i4i00000000000000000000000000000000
χ554-44-44-4-44444-4-440-4000-400004-4000000000000000000000000000000000000000
χ564-44-44-4-4444-444-40-4000-40000-44000000000000000000000000000000000000000
χ574-44-44-4-44-4-44-4-440400040000-44000000000000000000000000000000000000000
χ584-44-44-4-44-4-4-444-404000400004-4000000000000000000000000000000000000000
χ594-4-44-44-4400000040-44-40000000000000000000000002i2−2i2−2i22i2000000000000000000
χ604-4-44-44-4400000040-44-4000000000000000000000000−2i22i22i2−2i2000000000000000000
χ614-4-44-44-44000000-404-44000000000000000000000000000022−22−222200000000000000
χ624-4-44-44-44000000-404-440000000000000000000000000000−222222−2200000000000000
χ634-4-4-4444-40044-4-4-40-444000-4400000000000000000000000000000000000000000
χ644-4-4-4444-400-4-444-40-4440004-400000000000000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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