Finite Group Databasebeta

← Group #279429

Character table — Group #279429

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-11
χ121111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-11-1
χ131111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-11
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-11
χ1722222222222222-2-22-22-2-2-222-2-200000000-2000022220000-2-2-2-200000000000000
χ1822222222222222-2-22-22-2-2-222-2-200000000-20000-2-2-2-20000222200000000000000
χ192222222222-2-2-2-2-2-22-22-2-2-2-2-222000000002000022-2-20000-2-22200000000000000
χ202222222222-2-2-2-2-2-22-22-2-2-2-2-2220000000020000-2-222000022-2-200000000000000
χ2122222222-2-2222222-22-22-2-2-2-22222-2-222-2-2-2000000000000000000000000000000
χ2222222222-2-2222222-22-22-2-2-2-222-2-222-2-222-2000000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-222-2-2-2-2000000002000000000000000000002i−2i2i−2i000000
χ2422222222-2-22222-2-2-2-2-2-222-2-2-2-200000000200000000000000000000−2i2i−2i2i000000
χ2522222222-2-2-2-2-2-222-22-22-2-222-2-222-2-2-2-2222000000000000000000000000000000
χ2622222222-2-2-2-2-2-222-22-22-2-222-2-2-2-22222-2-22000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-2000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-200000000000000000000−2i2i2i−2i000000
χ29222-2-22-2-22200002-2-22-2-22-200002-22-20000022-2-20000000000002-2000000000000
χ30222-2-22-2-22200002-2-22-2-22-200002-22-200000-2-222000000000000-22000000000000
χ31222-2-22-2-22200002-2-22-2-22-20000-22-220000022-2-2000000000000-22000000000000
χ32222-2-22-2-22200002-2-22-2-22-20000-22-2200000-2-2220000000000002-2000000000000
χ33222-2-22-2-2-2-200002-2222-2-2200002-2-2200000000000002i2i−2i−2i0000002i−2i0000000000
χ34222-2-22-2-2-2-200002-2222-2-2200002-2-220000000000000−2i−2i2i2i000000−2i2i0000000000
χ35222-2-22-2-2-2-200002-2222-2-220000-222-200000000000002i2i−2i−2i000000−2i2i0000000000
χ36222-2-22-2-2-2-200002-2222-2-220000-222-20000000000000−2i−2i2i2i0000002i−2i0000000000
χ372-2222-2-2-22-222-2-200-2020002-200000000000i2−i2i2−i20000i2−i2i2−i22-22-200000000i2−i2i2−i200
χ382-2222-2-2-22-222-2-200-2020002-200000000000i2−i2i2−i20000i2−i2i2−i2-22-2200000000−i2i2−i2i200
χ392-2222-2-2-22-222-2-200-2020002-200000000000−i2i2−i2i20000−i2i2−i2i22-22-200000000−i2i2−i2i200
χ402-2222-2-2-22-222-2-200-2020002-200000000000−i2i2−i2i20000−i2i2−i2i2-22-2200000000i2−i2i2−i200
χ412-2222-2-2-22-2-2-22200-202000-2200000000000i2−i2i2−i20000−i2i2−i2i22-2-2200000000i2−i2−i2i200
χ422-2222-2-2-22-2-2-22200-202000-2200000000000i2−i2i2−i20000−i2i2−i2i2-222-200000000−i2i2i2−i200
χ432-2222-2-2-22-2-2-22200-202000-2200000000000−i2i2−i2i20000i2−i2i2−i22-2-2200000000−i2i2i2−i200
χ442-2222-2-2-22-2-2-22200-202000-2200000000000−i2i2−i2i20000i2−i2i2−i2-222-200000000i2−i2−i2i200
χ45444-4-44-4-4440000-44-4-4-44-440000000000000000000000000000000000000000000
χ46444-4-44-4-4-4-40000-444-4444-40000000000000000000000000000000000000000000
χ4744-44-4-4-44004-44-400000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ4844-44-4-4-44004-44-40000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ4944-44-4-4-4400-44-4400000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5044-44-4-4-4400-44-440000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ514-4444-4-4-4-4444-4-40040-4000-4400000000000000000000000000000000000000000
χ524-4444-4-4-4-44-4-4440040-40004-400000000000000000000000000000000000000000
χ534-44-4-4-4444-400000040-400000000000000002i2−2i2−2i22i200000000000000000000000000
χ544-44-4-4-4444-400000040-40000000000000000−2i22i22i2−2i200000000000000000000000000
χ554-44-4-4-444-44000000-40400000000000000000000000022−22−2222000000000000000000
χ564-44-4-4-444-44000000-404000000000000000000000000−222222−22000000000000000000
χ574-4-44-444-4004-4-44440-40-400004-4000000000000000000000000000000000000000
χ584-4-44-444-4004-4-44-4-404040000-44000000000000000000000000000000000000000
χ594-4-44-444-400-444-4440-40-40000-44000000000000000000000000000000000000000
χ604-4-44-444-400-444-4-4-4040400004-4000000000000000000000000000000000000000
χ614-4-4-444-440000004-40-4040000000000004-40000000000000000000000000000000
χ624-4-4-444-440000004-40-404000000000000-440000000000000000000000000000000
χ634-4-4-444-44000000-44040-400000000004i−4i000000000000000000000000000000000
χ644-4-4-444-44000000-44040-40000000000−4i4i000000000000000000000000000000000
χ6588-8-88-88-8000000000000000000000000000000000000000000000000000000000

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