Finite Group Databasebeta

← Group #278686

Character table — Group #278686

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488882244488888888888888888822444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1
χ91111111111111111-1-1-1-111-1-1111111-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11
χ101111111111111111-1-1-1-111-1-1111111-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-111-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-11-1
χ172222222222-2-22-2-222222-2-2-2-2000022-2-2-200000000000000000000-220000000000
χ182222222222-2-22-2-222222-2-2-2-20000-2-2-222000000000000000000002-20000000000
χ192222222222-2-22-2-22-2-2-2-2-2-2220000222-2-2000000000000000000002-20000000000
χ202222222222-2-22-2-22-2-2-2-2-2-2220000-2-222200000000000000000000-220000000000
χ2122222222-2-222-222-222-2-2-2-2-2-22222002000000-2-222-2-20000000000000000000000
χ2222222222-2-222-222-222-2-2-2-2-2-2-2-2-2-200200000022-2-2220000000000000000000000
χ2322222222-2-222-222-2-2-222-2-222222200-2000000-2-2-2-2220000000000000000000000
χ2422222222-2-222-222-2-2-222-2-222-2-2-2-200-20000002222-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22222000000-20000000000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-222-2-22222000000-2000000000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-200000020000000000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-20000002000000000000−2i−2i2i2i00000000002i−2i000000
χ29222-22-2-2-2002-202-20002i−2i002i−2i22-2-200000i2i2−i2−i200002i−2i000022−2−200000000i2−i22−200
χ30222-22-2-2-2002-202-20002i−2i002i−2i22-2-200000−i2−i2i2i200002i−2i0000−2−22200000000−i2i2−2200
χ31222-22-2-2-2002-202-20002i−2i002i−2i-2-22200000i2i2−i2−i20000−2i2i000022−2−200000000−i2i2−2200
χ32222-22-2-2-2002-202-20002i−2i002i−2i-2-22200000−i2−i2i2i20000−2i2i0000−2−22200000000i2−i22−200
χ33222-22-2-2-2002-202-2000−2i2i00−2i2i22-2-200000i2i2−i2−i20000−2i2i0000−2−22200000000i2−i2−2200
χ34222-22-2-2-2002-202-2000−2i2i00−2i2i22-2-200000−i2−i2i2i20000−2i2i000022−2−200000000−i2i22−200
χ35222-22-2-2-2002-202-2000−2i2i00−2i2i-2-22200000i2i2−i2−i200002i−2i0000−2−22200000000−i2i22−200
χ36222-22-2-2-2002-202-2000−2i2i00−2i2i-2-22200000−i2−i2i2i200002i−2i000022−2−200000000i2−i2−2200
χ372-2-222-22-22-222-2-2-2200002-20000002-202-22i−2i2i−2i0000000000000000002i−2i00000000
χ382-2-222-22-22-222-2-2-2200002-20000002-202-2−2i2i−2i2i000000000000000000−2i2i00000000
χ392-2-222-22-22-222-2-2-2200002-2000000-220-222i−2i2i−2i000000000000000000−2i2i00000000
χ402-2-222-22-22-222-2-2-2200002-2000000-220-22−2i2i−2i2i0000000000000000002i−2i00000000
χ412-2-222-22-22-2-2-2-22220000-220000002-20-22000000000000002-22-22-2000000000000
χ422-2-222-22-22-2-2-2-22220000-220000002-20-2200000000000000-22-22-22000000000000
χ432-2-222-22-22-2-2-2-22220000-22000000-2202-2000000000000002-22-2-22000000000000
χ442-2-222-22-22-2-2-2-22220000-22000000-2202-200000000000000-22-222-2000000000000
χ45444-44-4-4-400-440-440004i−4i00−4i4i00000000000000000000000000000000000000000
χ46444-44-4-4-400-440-44000−4i4i004i−4i00000000000000000000000000000000000000000
χ4744-44-44-4-44400-400-40000000022−2222−2200000000022−2200000000000000000000000000
χ4844-44-44-4-44400-400-400000000−2222−2222000000000−222200000000000000000000000000
χ4944-44-44-4-4-4-40040040000000022−2222−22000000000−222200000000000000000000000000
χ5044-44-44-4-4-4-400400400000000−2222−222200000000022−2200000000000000000000000000
χ5144-4-4-4-444000000004-400000022−22−22220000000000022−22000000000000000000000000
χ5244-4-4-4-444000000004-4000000−222222−2200000000000−2222000000000000000000000000
χ5344-4-4-4-44400000000-4400000022−22−222200000000000−2222000000000000000000000000
χ5444-4-4-4-44400000000-44000000−222222−220000000000022−22000000000000000000000000
χ554-444-4-4-444-400400-40000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ564-444-4-4-444-400400-4000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ574-444-4-4-44-4400-400400000000000000000000000000022−22−2222000000000000000000
χ584-444-4-4-44-4400-4004000000000000000000000000000−222222−22000000000000000000
χ594-4-444-44-4-44444-4-4-40000-440000000000000000000000000000000000000000000
χ604-4-444-44-4-44-4-4444-400004-40000000000000000000000000000000000000000000
χ614-4-4-444-44004-40-4400000000000000000022−22−22220000000000000000000000000000
χ624-4-4-444-44004-40-44000000000000000000−222222−220000000000000000000000000000
χ634-4-4-444-4400-4404-40000000000000000000000000000000022−22−222200000000000000
χ644-4-4-444-4400-4404-400000000000000000000000000000000−222222−2200000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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