Finite Group Databasebeta

← Group #282350

Character table — Group #282350

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488884444488888888888888888822244488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-11111-1-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111-1-111111111-111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-11-1
χ101111111111111111-1-1-1-111-1-111111111-111-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-1-111-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-1-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-111111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-111111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-11-1-1-1-111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111111-1-1-1-11-1
χ172222222222-2-22-2-222222-2-2-2-2000022-2-2-200000000000000000020000-200000000
χ182222222222-2-22-2-222222-2-2-2-20000-2-222-2000000000000000000-20000200000000
χ192222222222-2-22-2-22-2-2-2-2-2-222000022-2-22000000000000000000-20000200000000
χ202222222222-2-22-2-22-2-2-2-2-2-2220000-2-222200000000000000000020000-200000000
χ2122222222-2-222-222-222-2-2-2-2-2-2222200002-2-222-2-200000000000000000000000000
χ2222222222-2-222-222-222-2-2-2-2-2-2-2-2-2-20000222-2-22200000000000000000000000000
χ2322222222-2-222-222-2-2-222-2-22222220000-2-2-2-2-22200000000000000000000000000
χ2422222222-2-222-222-2-2-222-2-222-2-2-2-20000-22222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2222200000000-20000002i2i−2i−2i00000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-2222200000000-2000000−2i−2i2i2i0000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-20000000020000002i2i−2i−2i0000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2000000002000000−2i−2i2i2i00000000000000002i−2i0000
χ29222-2-2-2-22002-202-20002i−2i002i−2i2i2i−2i−2i0000000002-2000022−2−2i2i2−i2−i2000000i2−i2002−200
χ30222-2-2-2-22002-202-20002i−2i002i−2i2i2i−2i−2i0000000002-20000−2−222−i2−i2i2i2000000−i2i200−2200
χ31222-2-2-2-22002-202-20002i−2i002i−2i−2i−2i2i2i000000000-22000022−2−2i2i2−i2−i2000000−i2i200−2200
χ32222-2-2-2-22002-202-20002i−2i002i−2i−2i−2i2i2i000000000-220000−2−222−i2−i2i2i2000000i2−i2002−200
χ33222-2-2-2-22002-202-2000−2i2i00−2i2i2i2i−2i−2i000000000-22000022−2−2−i2−i2i2i2000000i2−i200−2200
χ34222-2-2-2-22002-202-2000−2i2i00−2i2i2i2i−2i−2i000000000-220000−2−222i2i2−i2−i2000000−i2i2002−200
χ35222-2-2-2-22002-202-2000−2i2i00−2i2i−2i−2i2i2i0000000002-2000022−2−2−i2−i2i2i2000000−i2i2002−200
χ36222-2-2-2-22002-202-2000−2i2i00−2i2i−2i−2i2i2i0000000002-20000−2−222i2i2−i2−i2000000i2−i200−2200
χ372-2-22-22-222-2222-2-2-200002-2000000000000000002i−2i2i−2i00002i−2i2i−2i0002-2000000000
χ382-2-22-22-222-2222-2-2-200002-2000000000000000002i−2i2i−2i0000−2i2i−2i2i000-22000000000
χ392-2-22-22-222-2222-2-2-200002-200000000000000000−2i2i−2i2i00002i−2i2i−2i000-22000000000
χ402-2-22-22-222-2222-2-2-200002-200000000000000000−2i2i−2i2i0000−2i2i−2i2i0002-2000000000
χ412-2-22-22-22-22-2-2-222200002-2000000000000000002-2-222-22-2000002-200000000000
χ422-2-22-22-22-22-2-2-222200002-2000000000000000002-2-22-22-2200000-2200000000000
χ432-2-22-22-22-22-2-2-222200002-200000000000000000-222-22-22-200000-2200000000000
χ442-2-22-22-22-22-2-2-222200002-200000000000000000-222-2-22-22000002-200000000000
χ45444-4-4-4-4400-440-440004i−4i00−4i4i00000000000000000000000000000000000000000
χ46444-4-4-4-4400-440-44000−4i4i004i−4i00000000000000000000000000000000000000000
χ4744-444-4-4-44-400-4004000000000000004i−4i000000000000000000000000000000000
χ4844-444-4-4-44-400-400400000000000000−4i4i000000000000000000000000000000000
χ4944-444-4-4-4-4400400-40000000000004-400000000000000000000000000000000000
χ5044-444-4-4-4-4400400-4000000000000-4400000000000000000000000000000000000
χ514-444-4-44-44400-400-40000000022−2222−220000022−22000000000000000000000000000000
χ524-444-4-44-44400-400-400000000−2222−222200000−2222000000000000000000000000000000
χ534-444-4-44-4-4-40040040000000022−2222−2200000−2222000000000000000000000000000000
χ544-444-4-44-4-4-400400400000000−2222−22220000022−22000000000000000000000000000000
χ554-44-444-4-4000000004-40000002i2−2i2−2i22i200000002i2−2i20000000000000000000000000000
χ564-44-444-4-4000000004-4000000−2i22i22i2−2i20000000−2i22i20000000000000000000000000000
χ574-44-444-4-400000000-440000002i2−2i2−2i22i20000000−2i22i20000000000000000000000000000
χ584-44-444-4-400000000-44000000−2i22i22i2−2i200000002i2−2i20000000000000000000000000000
χ594-4-44-44-444-4-4-4444-40000-440000000000000000000000000000000000000000000
χ604-4-44-44-44-4444-4-4-440000-440000000000000000000000000000000000000000000
χ614-4-4-44-444004-40-440000000000000000000000000000000022−22−222200000000000000
χ624-4-4-44-444004-40-4400000000000000000000000000000000−222222−2200000000000000
χ634-4-4-44-44400-4404-4000000000000000000000000000022−22−2222000000000000000000
χ644-4-4-44-44400-4404-40000000000000000000000000000−222222−22000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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