Finite Group Databasebeta

← Group #287490

Character table — Group #287490

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
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
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111-1-111111111-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11-1
χ101111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-11111-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-11111-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-111-1-111-1-11-1
χ172222222222-22-2-2-2222-2-2-2-222000022-2-2-20000000000000000002-2000000000000
χ182222222222-22-2-2-2222-2-2-2-2220000-2-222-2000000000000000000-22000000000000
χ192222222222-22-2-2-22-2-222-2-2-2-2000022-2-22000000000000000000-22000000000000
χ202222222222-22-2-2-22-2-222-2-2-2-20000-2-22220000000000000000002-2000000000000
χ2122222222-2-22-2222-222-2-2-2-2-2-2222200002220000-2-2-2-20000000000000000000000
χ2222222222-2-22-2222-222-2-2-2-2-2-2-2-2-2-200002-2-2000022220000000000000000000000
χ2322222222-2-22-2222-2-2-222-2-22222220000-2-2-20000-2-2220000000000000000000000
χ2422222222-2-22-2222-2-2-222-2-222-2-2-2-20000-222000022-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-200000000-200000000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-2222222-2-200000000-20000000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000200000000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222220000000020000000000−2i−2i2i2i00000000002i−2i000000
χ2922-2-2-222-200-2022-20002i−2i002i−2i22-2-20000000i2i2−i2−i2002i−2i000022−2−200000000i2−i22−200
χ3022-2-2-222-200-2022-20002i−2i002i−2i22-2-20000000−i2−i2i2i2002i−2i0000−2−22200000000−i2i2−2200
χ3122-2-2-222-200-2022-20002i−2i002i−2i-2-2220000000i2i2−i2−i200−2i2i000022−2−200000000−i2i2−2200
χ3222-2-2-222-200-2022-20002i−2i002i−2i-2-2220000000−i2−i2i2i200−2i2i0000−2−22200000000i2−i22−200
χ3322-2-2-222-200-2022-2000−2i2i00−2i2i22-2-20000000i2i2−i2−i200−2i2i0000−2−22200000000i2−i2−2200
χ3422-2-2-222-200-2022-2000−2i2i00−2i2i22-2-20000000−i2−i2i2i200−2i2i000022−2−200000000−i2i22−200
χ3522-2-2-222-200-2022-2000−2i2i00−2i2i-2-2220000000i2i2−i2−i2002i−2i0000−2−22200000000−i2i22−200
χ3622-2-2-222-200-2022-2000−2i2i00−2i2i-2-2220000000−i2−i2i2i2002i−2i000022−2−200000000i2−i2−2200
χ372-2-222-22-22-22-22-2-2200002-200000000000002i−2i2i−2i00002i−2i2i−2i0000002-20000000000
χ382-2-222-22-22-22-22-2-2200002-200000000000002i−2i2i−2i0000−2i2i−2i2i000000-220000000000
χ392-2-222-22-22-22-22-2-2200002-20000000000000−2i2i−2i2i00002i−2i2i−2i000000-220000000000
χ402-2-222-22-22-22-22-2-2200002-20000000000000−2i2i−2i2i0000−2i2i−2i2i0000002-20000000000
χ412-2-222-22-2-22-22-222-200002-20000000000000000000002-2-222i−2i2i−2i00002i−2i00000000
χ422-2-222-22-2-22-22-222-200002-20000000000000000000002-2-22−2i2i−2i2i0000−2i2i00000000
χ432-2-222-22-2-22-22-222-200002-2000000000000000000000-222-22i−2i2i−2i0000−2i2i00000000
χ442-2-222-22-2-22-22-222-200002-2000000000000000000000-222-2−2i2i−2i2i00002i−2i00000000
χ454444-4-4-4-4000000004-400000022−2222−220000022−22000000000000000000000000000000
χ464444-4-4-4-4000000004-4000000−2222−222200000−2222000000000000000000000000000000
χ474444-4-4-4-400000000-4400000022−2222−2200000−2222000000000000000000000000000000
χ484444-4-4-4-400000000-44000000−2222−22220000022−22000000000000000000000000000000
χ4944-4-44-4-44440-4000-40000000022−22−22220000000000022−22000000000000000000000000
χ5044-4-44-4-44440-4000-400000000−222222−2200000000000−2222000000000000000000000000
χ5144-4-44-4-44-4-40400040000000022−22−222200000000000−2222000000000000000000000000
χ5244-4-44-4-44-4-404000400000000−222222−220000000000022−22000000000000000000000000
χ5344-4-4-444-40040-4-440004i−4i00−4i4i00000000000000000000000000000000000000000
χ5444-4-4-444-40040-4-44000−4i4i004i−4i00000000000000000000000000000000000000000
χ554-44-444-4-44-404000-4000000000000004-4000000000000000000000000000000000
χ564-44-444-4-44-404000-400000000000000-44000000000000000000000000000000000
χ574-44-444-4-4-440-400040000000000004i−4i00000000000000000000000000000000000
χ584-44-444-4-4-440-40004000000000000−4i4i00000000000000000000000000000000000
χ594-44-4-4-4440040-44-4000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ604-44-4-4-4440040-44-400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ614-44-4-4-44400-404-440000000000000000000022−22−222200000000000000000000000000
χ624-44-4-4-44400-404-4400000000000000000000−222222−2200000000000000000000000000
χ634-4-444-44-44-4-4-4-44440000-440000000000000000000000000000000000000000000
χ644-4-444-44-4-44444-4-4-40000-440000000000000000000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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