Finite Group Databasebeta

← Group #287513

Character table — Group #287513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488882244488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
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
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-111111111-1-1111111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111-1-1111111-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11-1
χ101111111111111111-1-1-1-111-1-1111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-111-1-11-1
χ17222222222-222-2-22-22222-2-2-2-2222200-200-2-2220000-2-20000000000000000000000
χ18222222222-222-2-22-22222-2-2-2-2-2-2-2-200-20022-2-20000220000000000000000000000
χ19222222222-222-2-22-2-2-2-2-2-2-222222200200-2-2-2-20000220000000000000000000000
χ20222222222-222-2-22-2-2-2-2-2-2-222-2-2-2-20020022220000-2-20000000000000000000000
χ2122222222-22-2-222-2222-2-2-2-2-2-20000222-2-2000000000000000000-22000000000000
χ2222222222-22-2-222-2222-2-2-2-2-2-20000-2-22220000000000000000002-2000000000000
χ2322222222-22-2-222-22-2-222-2-222000022-2-2-20000000000000000002-2000000000000
χ2422222222-22-2-222-22-2-222-2-2220000-2-2-222000000000000000000-22000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22222000000-20000000000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-222-2-22222000000-2000000000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-200000020000000000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-20000002000000000000−2i−2i2i2i00000000002i−2i000000
χ2922-22-2-2-2220-2-200202i−2i2i−2i000022-2-200000002i−2ii2i2−i2−i200000022−2−200000000i2−i22−200
χ3022-22-2-2-2220-2-200202i−2i2i−2i000022-2-200000002i−2i−i2−i2i2i2000000−2−22200000000−i2i2−2200
χ3122-22-2-2-2220-2-200202i−2i2i−2i0000-2-2220000000−2i2ii2i2−i2−i200000022−2−200000000−i2i2−2200
χ3222-22-2-2-2220-2-200202i−2i2i−2i0000-2-2220000000−2i2i−i2−i2i2i2000000−2−22200000000i2−i22−200
χ3322-22-2-2-2220-2-20020−2i2i−2i2i000022-2-20000000−2i2ii2i2−i2−i2000000−2−22200000000i2−i2−2200
χ3422-22-2-2-2220-2-20020−2i2i−2i2i000022-2-20000000−2i2i−i2−i2i2i200000022−2−200000000−i2i22−200
χ3522-22-2-2-2220-2-20020−2i2i−2i2i0000-2-22200000002i−2ii2i2−i2−i2000000−2−22200000000−i2i22−200
χ3622-22-2-2-2220-2-20020−2i2i−2i2i0000-2-22200000002i−2i−i2−i2i2i200000022−2−200000000i2−i2−2200
χ372-2-222-22-22-22-22-2-2200002-20000000000000002i−2i2i−2i002i−2i2i−2i0000002-20000000000
χ382-2-222-22-22-22-22-2-2200002-20000000000000002i−2i2i−2i00−2i2i−2i2i000000-220000000000
χ392-2-222-22-22-22-22-2-2200002-2000000000000000−2i2i−2i2i002i−2i2i−2i000000-220000000000
χ402-2-222-22-22-22-22-2-2200002-2000000000000000−2i2i−2i2i00−2i2i−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
χ45444-44-4-4-40400-4-4040000000022−2222−220000022−22000000000000000000000000000000
χ46444-44-4-4-40400-4-40400000000−2222−222200000−2222000000000000000000000000000000
χ47444-44-4-4-40-400440-40000000022−2222−2200000−2222000000000000000000000000000000
χ48444-44-4-4-40-400440-400000000−2222−22220000022−22000000000000000000000000000000
χ4944-44-4-4-44-404400-404i−4i−4i4i000000000000000000000000000000000000000000000
χ5044-44-4-4-44-404400-40−4i4i4i−4i000000000000000000000000000000000000000000000
χ5144-4-4-444-4000000000000004i−4i22−22−222200000000000002i2−2i20000000000000000000000
χ5244-4-4-444-4000000000000004i−4i−222222−220000000000000−2i22i20000000000000000000000
χ5344-4-4-444-400000000000000−4i4i22−22−22220000000000000−2i22i20000000000000000000000
χ5444-4-4-444-400000000000000−4i4i−222222−2200000000000002i2−2i20000000000000000000000
χ554-444-44-4-440-4400-4000000000000000000000022−22−2222000000000000000000000000
χ564-444-44-4-440-4400-40000000000000000000000−222222−22000000000000000000000000
χ574-444-44-4-4-404-4004000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ584-444-44-4-4-404-400400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ594-4-444-44-4444-4-44-4-40000-440000000000000000000000000000000000000000000
χ604-4-444-44-4-4-4-444-4440000-440000000000000000000000000000000000000000000
χ614-4-4-444-4404004-40-40000000000000004i−4i00000000000000000000000000000000
χ624-4-4-444-4404004-40-4000000000000000−4i4i00000000000000000000000000000000
χ634-4-4-444-440-400-44040000000000004-400000000000000000000000000000000000
χ644-4-4-444-440-400-4404000000000000-4400000000000000000000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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