Finite Group Databasebeta

← Group #281839

Character table — Group #281839

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488884444488888888888888888844444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ91111111111111111-1-111-1-1-1-11111-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11-1
χ101111111111111111-1-111-1-1-1-11111-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-11
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-11
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-111-1-1-1-1-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-111-1-11-1
χ17222222222-2-2-2222-222-2-2-2-2-2-20000222-2-20000000000000000002-2000000000000
χ18222222222-2-2-2222-222-2-2-2-2-2-200002-2-222000000000000000000-22000000000000
χ19222222222-2-2-2222-2-2-2-2-222220000-222-2-2000000000000000000-22000000000000
χ20222222222-2-2-2222-2-2-2-2-222220000-2-2-2220000000000000000002-2000000000000
χ2122222222-2222-2-2-2222-2-2-2-2222222-2000022-2-200000000-2-2000000000000000000
χ2222222222-2222-2-2-2222-2-2-2-222-2-2-2-2-20000-2-2220000000022000000000000000000
χ2322222222-2222-2-2-22-2-2-2-222-2-2222220000-2-22200000000-2-2000000000000000000
χ2422222222-2222-2-2-22-2-2-2-222-2-2-2-2-2-22000022-2-20000000022000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-20000-20000000000000000002i2i−2i−2i00000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-2222222-2-20000-2000000000000000000−2i−2i2i2i0000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-222000020000000000000000002i2i−2i−2i0000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-22200002000000000000000000−2i−2i2i2i00000000002i−2i00
χ2922-2-22-2-22022-2000-22-200002-222-2-2000002-200i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i20000
χ3022-2-22-2-22022-2000-22-200002-222-2-2000002-200−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i20000
χ3122-2-22-2-22022-2000-22-200002-2-2-22200000-2200i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i20000
χ3222-2-22-2-22022-2000-22-200002-2-2-22200000-2200−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i20000
χ3322-2-22-2-22022-2000-2-220000-2222-2-200000-2200i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i20000
χ3422-2-22-2-22022-2000-2-220000-2222-2-200000-2200−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i20000
χ3522-2-22-2-22022-2000-2-220000-22-2-222000002-200i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i20000
χ3622-2-22-2-22022-2000-2-220000-22-2-222000002-200−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i20000
χ372-2-2-2-222222-222-2-2-2002-20000000000000000000002i−2i2i−2i002i−2i2i−2i00002-200000000
χ382-2-2-2-222222-222-2-2-2002-20000000000000000000002i−2i2i−2i00−2i2i−2i2i0000-2200000000
χ392-2-2-2-222222-222-2-2-2002-2000000000000000000000−2i2i−2i2i002i−2i2i−2i0000-2200000000
χ402-2-2-2-222222-222-2-2-2002-2000000000000000000000−2i2i−2i2i00−2i2i−2i2i00002-200000000
χ412-2-2-2-2222-2-22-2-2222002-2000000000000000002-22-20000002-2-22002-20000000000
χ422-2-2-2-2222-2-22-2-2222002-2000000000000000002-22-2000000-222-200-220000000000
χ432-2-2-2-2222-2-22-2-2222002-200000000000000000-22-220000002-2-2200-220000000000
χ442-2-2-2-2222-2-22-2-2222002-200000000000000000-22-22000000-222-2002-20000000000
χ45444-4-44-4-44000-44-400000000000000004-400000000000000000000000000000000
χ46444-4-44-4-44000-44-40000000000000000-4400000000000000000000000000000000
χ47444-4-44-4-4-40004-44000000000000004i−4i0000000000000000000000000000000000
χ48444-4-44-4-4-40004-4400000000000000−4i4i0000000000000000000000000000000000
χ4944-4-44-4-440-4-4400044-40000-4400000000000000000000000000000000000000000
χ5044-4-44-4-440-4-440004-4400004-400000000000000000000000000000000000000000
χ514-444-4-4-4404-4-40004000000000000000000000000022−22−222200000000000000000000
χ524-444-4-4-4404-4-400040000000000000000000000000−222222−2200000000000000000000
χ534-444-4-4-440-444000-40000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ544-444-4-4-440-444000-4000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ554-44-44-44-40000000000004-4002i2−2i22i2−2i200000002i2−2i20000000000000000000000000000
χ564-44-44-44-40000000000004-400−2i22i2−2i22i20000000−2i22i20000000000000000000000000000
χ574-44-44-44-4000000000000-44002i2−2i22i2−2i20000000−2i22i20000000000000000000000000000
χ584-44-44-44-4000000000000-4400−2i22i2−2i22i200000002i2−2i20000000000000000000000000000
χ594-4-4444-4-44000-4-440000000002i2−2i2−2i22i2000000000000000002i2−2i2000000000000000000
χ604-4-4444-4-44000-4-44000000000−2i22i22i2−2i200000000000000000−2i22i2000000000000000000
χ614-4-4444-4-4-400044-40000000002i2−2i2−2i22i200000000000000000−2i22i2000000000000000000
χ624-4-4444-4-4-400044-4000000000−2i22i22i2−2i2000000000000000002i2−2i2000000000000000000
χ634-4-4-4-44444-44-44-4-4400-44000000000000000000000000000000000000000000000
χ644-4-4-4-4444-44-44-444-400-44000000000000000000000000000000000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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