Finite Group Databasebeta

← Group #273867

Character table — Group #273867

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444888888888888888888888888881616161616161616161616163232
order12222244444444444442222244488888888888888888824444888888828
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-1
χ31111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1
χ41111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111
χ511111111111111111111-1-1111-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-111
χ711111111111111111111-1-1-1-11-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-111
χ811111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111111-1-1-1-111-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1111-1
χ101111111111111-1-1-1-111-11111-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-1-1-11
χ111111111111111-1-1-1-111-111-1-1-111111111-1-1-1-111111111-1-1-1-1-111-1-11-1-1-11
χ121111111111111-1-1-1-111-111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111-1
χ131111111111111-1-1-1-111-1-1-111-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-111111-11
χ141111111111111-1-1-1-111-1-1-111-1-1-1-1-111-1-11111-1-1111111-1-1111-11-1-11-1-11-1
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-11-111-1-1-11-1
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-111-1-1-111-11
χ172222222-222-22-22222-2-2-20022-2000000000000220000000000-2-200000000
χ182222222-222-22-22222-2-2-200-2-2-2000000000000-2-200000000002200000000
χ192222222-222-22-2-2-2-2-2-2-2200222000000000000-2-20000000000-2200000000
χ202222222-222-22-2-2-2-2-2-2-2200-2-220000000000002200000000002-200000000
χ21222222-2-2-2-2-2-2200002-202-20002-20000002i2i−2i−2i0000000000000002i−2i00000
χ22222222-2-2-2-2-2-2200002-202-20002-2000000−2i−2i2i2i000000000000000−2i2i00000
χ23222222-2-2-2-2-2-2200002-20-22000-220000002i2i−2i−2i000000000000000−2i2i00000
χ24222222-2-2-2-2-2-2200002-20-22000-22000000−2i−2i2i2i0000000000000002i−2i00000
χ252222-2-222-2-222222-2-2-2-2-20000200000000000000220000-220000000-20000
χ262222-2-222-2-222222-2-2-2-2-20000200000000000000-2-200002-2000000020000
χ272222-2-222-2-2222-2-222-2-220000-2000000000000002200002-20000000-20000
χ282222-2-222-2-2222-2-222-2-220000-200000000000000-2-20000-22000000020000
χ292222-2-22-2-2-2-22-222-2-22222-200-2-22000000000000000000002-20000000000
χ302222-2-22-2-2-2-22-222-2-2222-2200-22-200000000000000000000-220000000000
χ312222-2-22-2-2-2-22-2-2-22222-22-2002-2200000000000000000000-220000000000
χ322222-2-22-2-2-2-22-2-2-22222-2-220022-2000000000000000000002-20000000000
χ332222-2-2-22222-2-200002-2022000-2-222-2-2-2-200000000000000000020000000
χ342222-2-2-22222-2-200002-2022000-2-2-2-22222000000000000000000-20000000
χ352222-2-2-22222-2-200002-20-2-2000222222-2-2000000000000000000-20000000
χ362222-2-2-22222-2-200002-20-2-200022-2-2-2-22200000000000000000020000000
χ372-22-22-2202-20-202i−2i2i−2i000002-20002−2002−2i2−i2i2−i22i−2i00i2i2−i2−i200000000002−200
χ382-22-22-2202-20-202i−2i2i−2i000002-2000−2200−22−i2i2−i2i22i−2i00−i2−i2i2i20000000000−2200
χ392-22-22-2202-20-202i−2i2i−2i00000-220002−2002−2i2−i2i2−i2−2i2i00−i2−i2i2i20000000000−2200
χ402-22-22-2202-20-202i−2i2i−2i00000-22000−2200−22−i2i2−i2i2−2i2i00i2i2−i2−i200000000002−200
χ412-22-22-2202-20-20−2i2i−2i2i000002-20002−2002−2−i2i2−i2i2−2i2i00−i2−i2i2i200000000002−200
χ422-22-22-2202-20-20−2i2i−2i2i000002-2000−2200−22i2−i2i2−i2−2i2i00i2i2−i2−i20000000000−2200
χ432-22-22-2202-20-20−2i2i−2i2i00000-220002−2002−2−i2i2−i2i22i−2i00i2i2−i2−i20000000000−2200
χ442-22-22-2202-20-20−2i2i−2i2i00000-22000−2200−22i2−i2i2−i22i−2i00−i2−i2i2i200000000002−200
χ45444444-44-4-44-4-40000-440000000000000000000000000000000000000000
χ464444-4-4-4-444-4-440000-440000000000000000000000000000000000000000
χ474-44-44-4-40-440400000000000000000000022−22−22220000000000000000000000
χ484-44-44-4-40-4404000000000000000000000−222222−220000000000000000000000
χ494-44-4-4440-440-404i−4i−4i4i000000000000000000000000000000000000000000
χ504-44-4-4440-440-40−4i4i4i−4i000000000000000000000000000000000000000000
χ514-44-4-44-404-40400000000000000022−2200−222200000000000000000000000000
χ524-44-4-44-404-404000000000000000−22220022−2200000000000000000000000000
χ534-4-44000-400400000000000000000022−220000000022−222-22-200000000000000
χ544-4-44000-400400000000000000000022−2200000000−2222-22-2200000000000000
χ554-4-44000-4004000000000000000000−22220000000022−22-22-2200000000000000
χ564-4-44000-4004000000000000000000−222200000000−22222-22-200000000000000
χ5788-8-800000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5888-8-80000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ598-8-88000800-8000000000000000000000000000000000000000000000000

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