Finite Group Databasebeta

← Group #247494

Character table — Group #247494

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444442244444444444444488888888888888882222444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111-1-11-1-11111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111
χ7111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-111-1-1-1-1
χ91111111111111111-1-1-1-1-1-11111-1-111-1111111-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1-111-1-1
χ101111111111111111-1-1-1-1-1-11111-1-111-111-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-1-1-1-111
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-11111-1-111
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1-1111111-1-1
χ131111111111111111-1-1-1-1-1-111-1-11111-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-111
χ141111111111111111-1-1-1-1-1-111-1-11111-111-1-1-1-111111111-1-1-1-1-1-111-1-1-11-1-11111-1-1
χ151111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-111111-1-111-1-1
χ161111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111-1-1-1-111
χ172222222222-2-222-2-22222-2-2-2-2222200-20000000000000000000000-200-200000000
χ182222222222-2-222-2-22222-2-2-2-2-2-2-2-200-20000000000000000000000200200000000
χ192222222222-2-222-2-2-2-2-2-222-2-222-2-20020000000000000000000000-200200000000
χ202222222222-2-222-2-2-2-2-2-222-2-2-2-2220020000000000000000000000200-200000000
χ2122222222-2-222-2-22222-2-2-2-2-2-20000222-2-2000000000000000000000000-22000000
χ2222222222-2-222-2-22222-2-2-2-2-2-20000-2-22220000000000000000000000002-2000000
χ2322222222-2-222-2-222-2-22222-2-2000022-2-2-20000000000000000000000002-2000000
χ2422222222-2-222-2-222-2-22222-2-20000-2-2-222000000000000000000000000-22000000
χ2522222222-2-2-2-2-2-2-2-222-2-22222000000-2000000000000000000000002-20002-20000
χ2622222222-2-2-2-2-2-2-2-222-2-22222000000-200000000000000000000000-22000-220000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-2220000002000000000000000000000002-2000-220000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-222000000200000000000000000000000-220002-20000
χ2922-222-2-2-2-2-20022002-22-200002-22-200000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ3022-222-2-2-2-2-20022002-22-200002-22-200000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ3122-222-2-2-2-2-20022002-22-20000-22-2200000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ3222-222-2-2-2-2-20022002-22-20000-22-2200000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ3322-222-2-2-2-2-2002200-22-2200002-2-2200000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ3422-222-2-2-2-2-2002200-22-2200002-2-2200000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ3522-222-2-2-2-2-2002200-22-220000-222-200000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ3622-222-2-2-2-2-2002200-22-220000-222-200000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ372-2-2-22-2222-2-2-22-2220000002-200002-202-200002-22-200000000002-2000000000000
χ382-2-2-22-2222-2-2-22-2220000002-200002-202-20000-22-220000000000-22000000000000
χ392-2-2-22-2222-2-2-22-2220000002-20000-220-2200002-22-20000000000-22000000000000
χ402-2-2-22-2222-2-2-22-2220000002-20000-220-220000-22-2200000000002-2000000000000
χ412-2-2-22-222-22-2-2-2222000000-2200002-20-222-22-20000000000002-200000000000000
χ422-2-2-22-222-22-2-2-2222000000-2200002-20-22-22-22000000000000-2200000000000000
χ432-2-2-22-222-22-2-2-2222000000-220000-2202-22-22-2000000000000-2200000000000000
χ442-2-2-22-222-22-2-2-2222000000-220000-2202-2-22-220000000000002-200000000000000
χ45444-4-4-4-44004-4004-40000000000000000000000000000000000000000000002i2−2i200
χ46444-4-4-4-44004-4004-4000000000000000000000000000000000000000000000−2i22i200
χ47444-4-4-4-4400-4400-44000000000000000000000000000000000000000000000002i2−2i2
χ48444-4-4-4-4400-4400-4400000000000000000000000000000000000000000000000−2i22i2
χ4944-444-4-4-44400-4-4004-4-44000000000000000000000000000000000000000000000
χ5044-444-4-4-44400-4-400-444-4000000000000000000000000000000000000000000000
χ514-444-4-44-40000000000004-400000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ524-444-4-44-40000000000004-40000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ534-444-4-44-4000000000000-4400000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ544-444-4-44-4000000000000-440000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ554-44-444-4-44-400-4400000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ564-44-444-4-44-400-440000000000000000000−2i22i22i2−2i20000000000000000000000000000
χ574-44-444-4-4-44004-4000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ584-44-444-4-4-44004-400000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ594-4-44-44-44004-400-440000000000000000000000000000022−22−22220000000000000000
χ604-4-44-44-44004-400-4400000000000000000000000000000−222222−220000000000000000
χ614-4-44-44-4400-44004-4000000000000000000000000022−22−222200000000000000000000
χ624-4-44-44-4400-44004-40000000000000000000000000−222222−2200000000000000000000
χ634-4-4-44-4444-4444-4-4-4000000-4400000000000000000000000000000000000000000
χ644-4-4-44-444-4444-44-4-40000004-400000000000000000000000000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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