Finite Group Databasebeta

← Group #287552

Character table — Group #287552

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-111-1-1-1-11111-11111-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11-1
χ101111111111111111-1-111-1-1-1-11111-11111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-11
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-11
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-111-1-111-1-11-1
χ172222222222-22-2-2-2222-2-2-2-2-2-20000222-2-20000000000000000002-2000000000000
χ182222222222-22-2-2-2222-2-2-2-2-2-200002-2-222000000000000000000-22000000000000
χ192222222222-22-2-2-22-2-2-2-222220000-222-2-2000000000000000000-22000000000000
χ202222222222-22-2-2-22-2-2-2-222220000-2-2-2220000000000000000002-2000000000000
χ2122222222-2-22-2222-222-2-222-2-22222-20000220000-2-2-2-20000000000000000000000
χ2222222222-2-22-2222-222-2-222-2-2-2-2-2-2-20000-2-2000022220000000000000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-222222220000-2-20000-2-2220000000000000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-222-2-2-2-22000022000022-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2220000-2000000000000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2220000-200000000000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-200002000000000000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-20000200000000000000−2i−2i2i2i00000000002i−2i000000
χ292222-2-2-2-200-202-2202-2002-2002i2i−2i−2i000002i−2i22−2−20000000022−2−200000000i2−i2i2−i200
χ302222-2-2-2-200-202-2202-2002-2002i2i−2i−2i000002i−2i−2−22200000000−2−22200000000−i2i2−i2i200
χ312222-2-2-2-200-202-2202-2002-200−2i−2i2i2i00000−2i2i22−2−20000000022−2−200000000−i2i2−i2i200
χ322222-2-2-2-200-202-2202-2002-200−2i−2i2i2i00000−2i2i−2−22200000000−2−22200000000i2−i2i2−i200
χ332222-2-2-2-200-202-220-2200-22002i2i−2i−2i00000−2i2i22−2−200000000−2−22200000000i2−i2−i2i200
χ342222-2-2-2-200-202-220-2200-22002i2i−2i−2i00000−2i2i−2−2220000000022−2−200000000−i2i2i2−i200
χ352222-2-2-2-200-202-220-2200-2200−2i−2i2i2i000002i−2i22−2−200000000−2−22200000000−i2i2i2−i200
χ362222-2-2-2-200-202-220-2200-2200−2i−2i2i2i000002i−2i−2−2220000000022−2−200000000i2−i2−i2i200
χ372-22-222-2-22-22-22-2-22002-20000000000000002i−2i2i−2i00002i−2i2i−2i0000002-20000000000
χ382-22-222-2-22-22-22-2-22002-20000000000000002i−2i2i−2i0000−2i2i−2i2i000000-220000000000
χ392-22-222-2-22-22-22-2-22002-2000000000000000−2i2i−2i2i00002i−2i2i−2i000000-220000000000
χ402-22-222-2-22-22-22-2-22002-2000000000000000−2i2i−2i2i0000−2i2i−2i2i0000002-20000000000
χ412-22-222-2-2-22-22-222-2002-2000000000000000000000002-2-222i−2i2i−2i00002i−2i00000000
χ422-22-222-2-2-22-22-222-2002-2000000000000000000000002-2-22−2i2i−2i2i0000−2i2i00000000
χ432-22-222-2-2-22-22-222-2002-200000000000000000000000-222-22i−2i2i−2i0000−2i2i00000000
χ442-22-222-2-2-22-22-222-2002-200000000000000000000000-222-2−2i2i−2i2i00002i−2i00000000
χ454444-4-4-4-40040-44-404-400-440000000000000000000000000000000000000000000
χ464444-4-4-4-40040-44-40-44004-40000000000000000000000000000000000000000000
χ4744-4-44-44-44-404000-40000000000000004-400000000000000000000000000000000
χ4844-4-44-44-44-404000-4000000000000000-4400000000000000000000000000000000
χ4944-4-44-44-4-440-4000400000000000004i−4i0000000000000000000000000000000000
χ5044-4-44-44-4-440-400040000000000000−4i4i0000000000000000000000000000000000
χ514-44-444-4-44-4-4-4-444400-44000000000000000000000000000000000000000000000
χ524-44-444-4-4-44444-4-4-400-44000000000000000000000000000000000000000000000
χ534-44-4-4-4440040-4-44000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ544-44-4-4-4440040-4-4400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ554-44-4-4-44400-4044-4000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ564-44-4-4-44400-4044-400000000000000000000−2i22i22i2−2i200000000000000000000000000
χ574-4-444-4-44440-4000-40000000022−2222−220000000000022−22000000000000000000000000
χ584-4-444-4-44440-4000-400000000−2222−222200000000000−2222000000000000000000000000
χ594-4-444-4-44-4-40400040000000022−2222−2200000000000−2222000000000000000000000000
χ604-4-444-4-44-4-404000400000000−2222−22220000000000022−22000000000000000000000000
χ614-4-44-444-4000000000000004i−4i2i2−2i2−2i22i2000000000000022−220000000000000000000000
χ624-4-44-444-4000000000000004i−4i−2i22i22i2−2i20000000000000−22220000000000000000000000
χ634-4-44-444-400000000000000−4i4i2i2−2i2−2i22i20000000000000−22220000000000000000000000
χ644-4-44-444-400000000000000−4i4i−2i22i22i2−2i2000000000000022−220000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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