Finite Group Databasebeta

← Group #287558

Character table — Group #287558

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488882244488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11-1-11-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-111
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
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-111111111-111-11111-1-1-1-1-1-1
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
χ91111111111111111-1-111-1-1-1-111111111-111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-111-1-1-1-111111111-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-111-11
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1111-1
χ141111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-11
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-111-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-11-1
χ17222222222-2-222-22-222-2-222-2-222220000-2-2-2220000-2-20000000000000000000000
χ18222222222-2-222-22-222-2-222-2-2-2-2-2-20000-222-2-20000220000000000000000000000
χ19222222222-2-222-22-2-2-2-2-2-2-222222200002-2-2-2-20000220000000000000000000000
χ20222222222-2-222-22-2-2-2-2-2-2-222-2-2-2-20000222220000-2-20000000000000000000000
χ2122222222-222-2-22-2222-2-2-2-222000022-2-2-2000000000000000000200-20000000000
χ2222222222-222-2-22-2222-2-2-2-2220000-2-222-2000000000000000000-20020000000000
χ2322222222-222-2-22-22-2-2-2-222-2-2000022-2-22000000000000000000-20020000000000
χ2422222222-222-2-22-22-2-2-2-222-2-20000-2-2222000000000000000000200-20000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-200000000200000000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-20000000020000000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222200000000-200000000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222200000000-20000000000−2i−2i2i2i00000000002i−2i000000
χ292-222-2-2-2222-22-2-2-22002-2000000000000000002i2i−2i−2i002i−2i2i−2i000000002-200000000
χ302-222-2-2-2222-22-2-2-22002-2000000000000000002i2i−2i−2i00−2i2i−2i2i00000000-2200000000
χ312-222-2-2-2222-22-2-2-22002-200000000000000000−2i−2i2i2i002i−2i2i−2i00000000-2200000000
χ322-222-2-2-2222-22-2-2-22002-200000000000000000−2i−2i2i2i00−2i2i−2i2i000000002-200000000
χ332-222-2-2-22-2-22-2222-2002-2000000000000000000000002-2-222i2i−2i−2i02i−2i00000000000
χ342-222-2-2-22-2-22-2222-2002-2000000000000000000000002-2-22−2i−2i2i2i0−2i2i00000000000
χ352-222-2-2-22-2-22-2222-2002-200000000000000000000000-222-22i2i−2i−2i0−2i2i00000000000
χ362-222-2-2-22-2-22-2222-2002-200000000000000000000000-222-2−2i−2i2i2i02i−2i00000000000
χ372-22-222-2-2-200220-202i−2i002i−2i002i2i−2i−2i00000002-22−22−2000000i2−i2i2−i200000000i2−i22−200
χ382-22-222-2-2-200220-202i−2i002i−2i002i2i−2i−2i00000002-2−22−22000000−i2i2−i2i200000000−i2i2−2200
χ392-22-222-2-2-200220-202i−2i002i−2i00−2i−2i2i2i0000000-222−22−2000000i2−i2i2−i200000000−i2i2−2200
χ402-22-222-2-2-200220-202i−2i002i−2i00−2i−2i2i2i0000000-22−22−22000000−i2i2−i2i200000000i2−i22−200
χ412-22-222-2-2-200220-20−2i2i00−2i2i002i2i−2i−2i0000000-222−22−2000000−i2i2−i2i200000000i2−i2−2200
χ422-22-222-2-2-200220-20−2i2i00−2i2i002i2i−2i−2i0000000-22−22−22000000i2−i2i2−i200000000−i2i22−200
χ432-22-222-2-2-200220-20−2i2i00−2i2i00−2i−2i2i2i00000002-22−22−2000000−i2i2−i2i200000000−i2i22−200
χ442-22-222-2-2-200220-20−2i2i00−2i2i00−2i−2i2i2i00000002-2−22−22000000i2−i2i2−i200000000i2−i2−2200
χ45444-4-4-44-4400-440-40000000000000000000000000000000022−22−222200000000000000
χ46444-4-4-44-4400-440-400000000000000000000000000000000−222222−2200000000000000
χ47444-4-4-44-4-4004-40400000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ48444-4-4-44-4-4004-4040000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ4944-4-44-4-4404400-40-40000000022−2222−220000022−22000000000000000000000000000000
χ5044-4-44-4-4404400-40-400000000−2222−222200000−2222000000000000000000000000000000
χ5144-4-44-4-440-4-4004040000000022−2222−2200000−2222000000000000000000000000000000
χ5244-4-44-4-440-4-40040400000000−2222−22220000022−22000000000000000000000000000000
χ534-444-4-4-444-444-44-4-400-44000000000000000000000000000000000000000000000
χ544-444-4-4-44-44-4-44-44400-44000000000000000000000000000000000000000000000
χ554-44-444-4-4400-4-40404i−4i00−4i4i0000000000000000000000000000000000000000000
χ564-44-444-4-4400-4-4040−4i4i004i−4i0000000000000000000000000000000000000000000
χ574-4-444-44-4000000000000004-42i2−2i2−2i22i200000000000002i2−2i20000000000000000000000
χ584-4-444-44-4000000000000004-4−2i22i22i2−2i20000000000000−2i22i20000000000000000000000
χ594-4-444-44-400000000000000-442i2−2i2−2i22i20000000000000−2i22i20000000000000000000000
χ604-4-444-44-400000000000000-44−2i22i22i2−2i200000000000002i2−2i20000000000000000000000
χ614-4-4-4-444404-40040-4000000000000004i−4i000000000000000000000000000000000
χ624-4-4-4-444404-40040-400000000000000−4i4i000000000000000000000000000000000
χ634-4-4-4-44440-4400-4040000000000004-400000000000000000000000000000000000
χ644-4-4-4-44440-4400-404000000000000-4400000000000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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