Finite Group Databasebeta

← Group #276583

Character table — Group #276583

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888844448888888844
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
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
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
χ9111111111-1-1-1-1111111111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-1111111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-11
χ12111111111-1-1-1-1111111111-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11-1
χ13111111111-1-1-1-1111111111-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ14111111111-1-1-1-1111111111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1
χ15111111111-1-1-1-1111111111-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111-1
χ16111111111-1-1-1-1111111111-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11
χ172222222222222-2-222-22-2-2-2-2-222-20000000022-2-222-2-20000000000000000000000
χ182222222222222-2-222-22-2-2-2-2-222-200000000-2-222-2-2220000000000000000000000
χ19222222222-2-2-2-2-2-222-22-2-2-222-2-220000000022-2-2-2-2220000000000000000000000
χ20222222222-2-2-2-2-2-222-22-2-2-222-2-2200000000-2-22222-2-20000000000000000000000
χ2122222222-2222222-2-22-22-2-222-2-2-22222-2-2-2-2000000000000000000000000000000
χ2222222222-2222222-2-22-22-2-222-2-2-2-2-2-2-22222000000000000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-222-2-2-2-2200000000000000000000000000002i−2i2i−2i000000
χ2422222222-22222-2-2-2-2-2-2-222-2-2-2-220000000000000000000000000000−2i2i−2i2i000000
χ2522222222-2-2-2-2-222-2-22-22-2-2-2-222222-2-2-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-222-2-22-22-2-2-2-2222-2-22222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000000000−2i2i2i−2i000000
χ29222-2-2-2-22-222-2-2002-202000002-2000000000002i−2i002i−2i22−2−222−2−200000000i2−i2i2−i200
χ30222-2-2-2-22-222-2-2002-202000002-2000000000002i−2i002i−2i−2−222−2−22200000000−i2i2−i2i200
χ31222-2-2-2-22-222-2-2002-202000002-200000000000−2i2i00−2i2i22−2−222−2−200000000−i2i2−i2i200
χ32222-2-2-2-22-222-2-2002-202000002-200000000000−2i2i00−2i2i−2−222−2−22200000000i2−i2i2−i200
χ33222-2-2-2-22-2-2-222002-20200000-22000000000002i−2i00−2i2i22−2−2−2−22200000000i2−i2−i2i200
χ34222-2-2-2-22-2-2-222002-20200000-22000000000002i−2i00−2i2i−2−22222−2−200000000−i2i2i2−i200
χ35222-2-2-2-22-2-2-222002-20200000-2200000000000−2i2i002i−2i22−2−2−2−22200000000−i2i2i2−i200
χ36222-2-2-2-22-2-2-222002-20200000-2200000000000−2i2i002i−2i−2−22222−2−200000000i2−i2−i2i200
χ3722-22-22-2-2200002-2-2-2-2222-200000002i−2i002i−2i000000002i−2i2i−2i0000002-20000000000
χ3822-22-22-2-2200002-2-2-2-2222-200000002i−2i002i−2i00000000−2i2i−2i2i000000-220000000000
χ3922-22-22-2-2200002-2-2-2-2222-20000000−2i2i00−2i2i000000002i−2i2i−2i000000-220000000000
χ4022-22-22-2-2200002-2-2-2-2222-20000000−2i2i00−2i2i00000000−2i2i−2i2i0000002-20000000000
χ4122-22-22-2-2-200002-222-2-22-2200000002i−2i00−2i2i0000000000002-22-22i−2i000000000000
χ4222-22-22-2-2-200002-222-2-22-2200000002i−2i00−2i2i000000000000-22-22−2i2i000000000000
χ4322-22-22-2-2-200002-222-2-22-220000000−2i2i002i−2i0000000000002-22-2−2i2i000000000000
χ4422-22-22-2-2-200002-222-2-22-220000000−2i2i002i−2i000000000000-22-222i−2i000000000000
χ45444-4-4-4-44444-4-400-440-400000-44000000000000000000000000000000000000000
χ46444-4-4-4-444-4-44400-440-4000004-4000000000000000000000000000000000000000
χ4744-44-44-4-440000-44-4-444-4-440000000000000000000000000000000000000000000
χ4844-44-44-4-4-40000-44444-4-44-40000000000000000000000000000000000000000000
χ4944-4-44-44-440000004-40-4000000000000000000000000000022−22−222200000000000000
χ5044-4-44-44-440000004-40-40000000000000000000000000000−222222−2200000000000000
χ5144-4-44-44-4-4000000-44040000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5244-4-44-44-4-4000000-4404000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-4444-4-4-404-44-4000000000000000000000022−220022−22000000000000000000000000
χ544-4444-4-4-404-44-40000000000000000000000−222200−2222000000000000000000000000
χ554-4444-4-4-40-44-44000000000000000000000022−2200−2222000000000000000000000000
χ564-4444-4-4-40-44-440000000000000000000000−22220022−22000000000000000000000000
χ574-44-4-444-404-4-444400-40-4004-400000000000000000000000000000000000000000
χ584-44-4-444-404-4-44-4-40040400-4400000000000000000000000000000000000000000
χ594-44-4-444-40-444-44400-40-400-4400000000000000000000000000000000000000000
χ604-44-4-444-40-444-4-4-400404004-400000000000000000000000000000000000000000
χ614-4-4-444-44000004-40040-400000004i−4i000000000000000000000000000000000000
χ624-4-4-444-44000004-40040-40000000−4i4i000000000000000000000000000000000000
χ634-4-4-444-4400000-4400-404000000000004-400000000000000000000000000000000
χ644-4-4-444-4400000-4400-40400000000000-4400000000000000000000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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