Finite Group Databasebeta

← Group #275995

Character table — Group #275995

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888822
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111-1-11-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-1111111111-1-1-1-111-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-1111111111-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-11
χ12111111111-1-1-1-1111111111-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11-1
χ13111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ14111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ15111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11
χ172222222222222-222-2-22-2-2-222-2-200-20000000000000022-2-222-2-200000000000000
χ182222222222222-222-2-22-2-2-222-2-200-200000000000000-2-222-2-22200000000000000
χ19222222222-2-2-2-2-222-2-22-2-2-2-2-2220020000000000000022-2-2-2-22200000000000000
χ20222222222-2-2-2-2-222-2-22-2-2-2-2-22200200000000000000-2-22222-2-200000000000000
χ2122222222-222222-2-222-22-2-2-2-22222-2-2-222-2-2000000000000000000000000000000
χ2222222222-222222-2-222-22-2-2-2-222-2-2-222-2-222000000000000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-222-2-2-2-2002000000000000000000000000002i−2i2i−2i000000
χ2422222222-22222-2-2-2-2-2-2-222-2-2-2-200200000000000000000000000000−2i2i−2i2i000000
χ2522222222-2-2-2-2-22-2-222-22-2-222-2-2222-2-2-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-22-2-222-22-2-222-2-2-2-222222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-2000000000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-200000000000000000000000000−2i2i2i−2i000000
χ2922-22-2-22-2200002-2-22-22-22-20000000002i−2i2i−2i000022-2-2000000002i−2i000000000000
χ3022-22-2-22-2200002-2-22-22-22-20000000002i−2i2i−2i0000-2-22200000000−2i2i000000000000
χ3122-22-2-22-2200002-2-22-22-22-2000000000−2i2i−2i2i000022-2-200000000−2i2i000000000000
χ3222-22-2-22-2200002-2-22-22-22-2000000000−2i2i−2i2i0000-2-222000000002i−2i000000000000
χ3322-22-2-22-2-200002222-2-2-2-220000000002i−2i−2i2i2i2i−2i−2i000000000000002-20000000000
χ3422-22-2-22-2-200002222-2-2-2-220000000002i−2i−2i2i−2i−2i2i2i00000000000000-220000000000
χ3522-22-2-22-2-200002222-2-2-2-22000000000−2i2i2i−2i2i2i−2i−2i00000000000000-220000000000
χ3622-22-2-22-2-200002222-2-2-2-22000000000−2i2i2i−2i−2i−2i2i2i000000000000002-20000000000
χ372-2-2222-2-2222-2-202-200-20002-200000000000i2−i2i2−i2i2−i2i2−i2002i−2i002i−2i000000002−22−200
χ382-2-2222-2-2222-2-202-200-20002-200000000000i2−i2i2−i2i2−i2i2−i200−2i2i00−2i2i00000000−22−2200
χ392-2-2222-2-2222-2-202-200-20002-200000000000−i2i2−i2i2−i2i2−i2i2002i−2i002i−2i00000000−22−2200
χ402-2-2222-2-2222-2-202-200-20002-200000000000−i2i2−i2i2−i2i2−i2i200−2i2i00−2i2i000000002−22−200
χ412-2-2222-2-22-2-22202-200-2000-2200000000000i2−i2i2−i2−i2i2−i2i2002i−2i00−2i2i000000002−2−2200
χ422-2-2222-2-22-2-22202-200-2000-2200000000000i2−i2i2−i2−i2i2−i2i200−2i2i002i−2i00000000−222−200
χ432-2-2222-2-22-2-22202-200-2000-2200000000000−i2i2−i2i2i2−i2i2−i2002i−2i00−2i2i00000000−222−200
χ442-2-2222-2-22-2-22202-200-2000-2200000000000−i2i2−i2i2i2−i2i2−i200−2i2i002i−2i000000002−2−2200
χ45444-44-4-4-404-44-40000000000000000000000000000002i2−2i2002i2−2i20000000000000000
χ46444-44-4-4-404-44-4000000000000000000000000000000−2i22i200−2i22i20000000000000000
χ47444-44-4-4-40-44-440000000000000000000000000000002i2−2i200−2i22i20000000000000000
χ48444-44-4-4-40-44-44000000000000000000000000000000−2i22i2002i2−2i20000000000000000
χ4944-44-4-44-440000-4-4-4-4444-440000000000000000000000000000000000000000000
χ5044-44-4-44-4-40000-444-44-444-40000000000000000000000000000000000000000000
χ514-444-4-4-44400000-4400-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ524-444-4-4-44400000-4400-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ534-444-4-4-44-4000004-4004000000000000000022−22−222200000000000000000000000000
χ544-444-4-4-44-4000004-40040000000000000000−222222−2200000000000000000000000000
χ554-44-4-444-400000400-440-40000000004i−4i0000000000000000000000000000000000
χ564-44-4-444-400000400-440-4000000000−4i4i0000000000000000000000000000000000
χ574-44-4-444-400000-4004-4040000004-40000000000000000000000000000000000000
χ584-44-4-444-400000-4004-404000000-440000000000000000000000000000000000000
χ594-4-4444-4-4-444-4-40-44004000-4400000000000000000000000000000000000000000
χ604-4-4444-4-4-4-4-4440-440040004-400000000000000000000000000000000000000000
χ614-4-4-44-44404-4-44400-4-40400004-4000000000000000000000000000000000000000
χ624-4-4-44-44404-4-44-400440-40000-44000000000000000000000000000000000000000
χ634-4-4-44-4440-444-4400-4-4040000-44000000000000000000000000000000000000000
χ644-4-4-44-4440-444-4-400440-400004-4000000000000000000000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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