Finite Group Databasebeta

← Group #286235

Character table — Group #286235

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222222244444444444444488888888888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-11
χ1011111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-111-1-1111-1
χ1111111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-11-1
χ1211111111-1-1-1-111111111-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-111-11
χ1311111111-1-1-1-111111111-1-111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1111-1
χ1411111111-1-1-1-111111111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-11
χ1511111111-1-1-1-111111111-1-111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111-11
χ1611111111-1-1-1-111111111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-111-1-111-1-11-1
χ1722222222222222-2-2-22-22-2-2-2-222-200000000000000000000000022-2-20000000000
χ1822222222222222-2-2-22-22-2-2-2-222-2000000000000000000000000-2-2220000000000
χ19222222222222-2-2222-22-222-2-2-2-2-222-2-222-2-2000000000000000000000000000000
χ20222222222222-2-2222-22-222-2-2-2-2-2-2-222-2-222000000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-222-2-22000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-222-2-2200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ2322222222-2-2-2-222-2-2-22-2222-2-2-2-220000000000000000000000002-2-220000000000
χ2422222222-2-2-2-222-2-2-22-2222-2-2-2-22000000000000000000000000-222-20000000000
χ2522222222-2-2-2-2-2-2222-22-2-2-2-2-222222-2-2-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-2-2222-22-2-2-2-2-2222-2-22222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ29222-2-2-22-222-2-2002-2-20202-2000002i−2i002i−2i000000000022−2−222−2−200000000i2−i2i2−i200
χ30222-2-2-22-222-2-2002-2-20202-2000002i−2i002i−2i0000000000−2−222−2−22200000000−i2i2−i2i200
χ31222-2-2-22-222-2-2002-2-20202-200000−2i2i00−2i2i000000000022−2−222−2−200000000−i2i2−i2i200
χ32222-2-2-22-222-2-2002-2-20202-200000−2i2i00−2i2i0000000000−2−222−2−22200000000i2−i2i2−i200
χ33222-2-2-22-2-2-222002-2-2020-22000002i−2i00−2i2i000000000022−2−2−2−22200000000i2−i2−i2i200
χ34222-2-2-22-2-2-222002-2-2020-22000002i−2i00−2i2i0000000000−2−22222−2−200000000−i2i2i2−i200
χ35222-2-2-22-2-2-222002-2-2020-2200000−2i2i002i−2i000000000022−2−2−2−22200000000−i2i2i2−i200
χ36222-2-2-22-2-2-222002-2-2020-2200000−2i2i002i−2i0000000000−2−22222−2−200000000i2−i2−i2i200
χ372-22-22-2-2200002-222-2-2-22002-2000000000002i−2i2i−2i000000002-22-20000002i−2i000000
χ382-22-22-2-2200002-222-2-2-22002-2000000000002i−2i2i−2i00000000-22-22000000−2i2i000000
χ392-22-22-2-2200002-222-2-2-22002-200000000000−2i2i−2i2i000000002-22-2000000−2i2i000000
χ402-22-22-2-2200002-222-2-2-22002-200000000000−2i2i−2i2i00000000-22-220000002i−2i000000
χ412-22-22-2-220000-22-2-2222-2002-2000000000002-2-2200002i−2i2i−2i000000002i−2i00000000
χ422-22-22-2-220000-22-2-2222-2002-2000000000002-2-220000−2i2i−2i2i00000000−2i2i00000000
χ432-22-22-2-220000-22-2-2222-2002-200000000000-222-200002i−2i2i−2i00000000−2i2i00000000
χ442-22-22-2-220000-22-2-2222-2002-200000000000-222-20000−2i2i−2i2i000000002i−2i00000000
χ45444-4-4-44-444-4-400-4440-40-440000000000000000000000000000000000000000000
χ46444-4-4-44-4-4-44400-4440-404-40000000000000000000000000000000000000000000
χ4744-444-4-4-44-44-40000000000000000022−220022−22000000000000000000000000000000
χ4844-444-4-4-44-44-400000000000000000−222200−2222000000000000000000000000000000
χ4944-444-4-4-4-44-440000000000000000022−2200−2222000000000000000000000000000000
χ5044-444-4-4-4-44-4400000000000000000−22220022−22000000000000000000000000000000
χ5144-4-4-44-444-4-4444000-40-400004-4000000000000000000000000000000000000000
χ5244-4-4-44-444-4-44-4-40004040000-44000000000000000000000000000000000000000
χ5344-4-4-44-44-444-444000-40-40000-44000000000000000000000000000000000000000
χ5444-4-4-44-44-444-4-4-400040400004-4000000000000000000000000000000000000000
χ554-444-44-4-40000004-440-4000000000000000000000000000022−22−222200000000000000
χ564-444-44-4-40000004-440-40000000000000000000000000000−222222−2200000000000000
χ574-444-44-4-4000000-44-4040000000000000000000000002i2−2i2−2i22i2000000000000000000
χ584-444-44-4-4000000-44-404000000000000000000000000−2i22i22i2−2i2000000000000000000
χ594-44-44-4-4400004-4-4-44-44400-4400000000000000000000000000000000000000000
χ604-44-44-4-440000-4444-44-4-400-4400000000000000000000000000000000000000000
χ614-4-44-4-44400004-400040-400000000000000000002i2−2i22i2−2i20000000000000000000000
χ624-4-44-4-44400004-400040-40000000000000000000−2i22i2−2i22i20000000000000000000000
χ634-4-44-4-4440000-44000-404000000000000000000022−22−22220000000000000000000000
χ644-4-44-4-4440000-44000-4040000000000000000000−222222−220000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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