Finite Group Databasebeta

← Group #268796

Character table — Group #268796

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488882244488888888888888888822244488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1-1
χ31111111111111111111111111111-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111111111-1-1
χ91111111111111111-1-111-1-1-1-1111111-11111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-1-11
χ101111111111111111-1-111-1-1-1-1111111-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1111-1
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11
χ131111111111111111-1-111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-111111-1
χ141111111111111111-1-111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1111-1-111-1-1-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-11-1
χ17222222222-2-222-2-2222-2-222-2-2000022-2-2-2000000000000000000-20020000000000
χ18222222222-2-222-2-2222-2-222-2-20000-2-2-222000000000000000000200-20000000000
χ19222222222-2-222-2-22-2-2-2-2-2-2220000222-2-2000000000000000000200-20000000000
χ20222222222-2-222-2-22-2-2-2-2-2-2220000-2-2222000000000000000000-20020000000000
χ2122222222-222-2-222-222-2-2-2-222222200-200-2-2-2-22200000000000000000000000000
χ2222222222-222-2-222-222-2-2-2-222-2-2-2-200-2002222-2-200000000000000000000000000
χ2322222222-222-2-222-2-2-2-2-222-2-2222200200-2-222-2-200000000000000000000000000
χ2422222222-222-2-222-2-2-2-2-222-2-2-2-2-2-20020022-2-22200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-20000002000000002i2i−2i−2i0000000000000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2000000200000000−2i−2i2i2i000000000000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000-2000000002i2i−2i−2i000000000000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-2222222000000-200000000−2i−2i2i2i0000000000000000002i−2i00
χ2922-2-2-2-2220-2-2002202-200002-222-2-20000000002-2000022−2−222−2−20000002−22−20000
χ3022-2-2-2-2220-2-2002202-200002-222-2-20000000002-20000−2−222−2−222000000−22−220000
χ3122-2-2-2-2220-2-2002202-200002-2-2-222000000000-22000022−2−222−2−2000000−22−220000
χ3222-2-2-2-2220-2-2002202-200002-2-2-222000000000-220000−2−222−2−2220000002−22−20000
χ3322-2-2-2-2220-2-200220-220000-2222-2-2000000000-22000022−2−2−2−2220000002−2−220000
χ3422-2-2-2-2220-2-200220-220000-2222-2-2000000000-220000−2−22222−2−2000000−222−20000
χ3522-2-2-2-2220-2-200220-220000-22-2-2220000000002-2000022−2−2−2−222000000−222−20000
χ3622-2-2-2-2220-2-200220-220000-22-2-2220000000002-20000−2−22222−2−20000002−2−220000
χ372-2-2-222-22-22-22-22-22002-2000000002-202-200000000002-22-2000002-200000000000
χ382-2-2-222-22-22-22-22-22002-2000000002-202-20000000000-22-2200000-2200000000000
χ392-2-2-222-22-22-22-22-22002-200000000-220-2200000000002-22-200000-2200000000000
χ402-2-2-222-22-22-22-22-22002-200000000-220-220000000000-22-22000002-200000000000
χ412-2-2-222-22-2-222-2-22200-22000000002-20-22000000000000002-22-200002-200000000
χ422-2-2-222-22-2-222-2-22200-22000000002-20-2200000000000000-22-220000-2200000000
χ432-2-2-222-22-2-222-2-22200-2200000000-2202-2000000000000002-22-20000-2200000000
χ442-2-2-222-22-2-222-2-22200-2200000000-2202-200000000000000-22-2200002-200000000
χ45444-44-4-4-44004-400-40000000000000000000000022−2222−220000000000000000000000
χ46444-44-4-4-44004-400-400000000000000000000000−2222−22220000000000000000000000
χ47444-44-4-4-4-400-44004000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ48444-44-4-4-4-400-4400400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ4944-4-4-4-44404400-4-404-40000-4400000000000000000000000000000000000000000
χ5044-4-4-4-44404400-4-40-4400004-400000000000000000000000000000000000000000
χ514-444-4-4-4404-400-440000000000000000000000000000000022−22−222200000000000000
χ524-444-4-4-4404-400-4400000000000000000000000000000000−222222−2200000000000000
χ534-444-4-4-440-44004-4000000000000000000000000000022−22−2222000000000000000000
χ544-444-4-4-440-44004-40000000000000000000000000000−222222−22000000000000000000
χ554-44-4-444-40000000000004i−4i002i2−2i22i2−2i2000000022−220000000000000000000000000000
χ564-44-4-444-40000000000004i−4i00−2i22i2−2i22i20000000−22220000000000000000000000000000
χ574-44-4-444-4000000000000−4i4i002i2−2i22i2−2i20000000−22220000000000000000000000000000
χ584-44-4-444-4000000000000−4i4i00−2i22i2−2i22i2000000022−220000000000000000000000000000
χ594-4-444-44-4400-4-4004000000002i2−2i2−2i22i2000002i2−2i2000000000000000000000000000000
χ604-4-444-44-4400-4-400400000000−2i22i22i2−2i200000−2i22i2000000000000000000000000000000
χ614-4-444-44-4-4004400-4000000002i2−2i2−2i22i200000−2i22i2000000000000000000000000000000
χ624-4-444-44-4-4004400-400000000−2i22i22i2−2i2000002i2−2i2000000000000000000000000000000
χ634-4-4-444-4444-4-444-4-400-44000000000000000000000000000000000000000000000
χ644-4-4-444-444-44-44-44-4004-4000000000000000000000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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