Finite Group Databasebeta

← Group #247482

Character table — Group #247482

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444442244444422444444488888888888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1111111
χ5111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-111-1-111-11111-1-1-1-1
χ91111111111111111-1-1-1-1-1-11111-1-111-1111111-1-1-1-11111-1-1-1-1-1-1-11-111-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-11111-1-111-111-1-1-1-11111-1-1-1-11111-1-1-11-1-1-1-11111-1-111
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-11-1-111-1-111
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11111111-1-1-1-111-1-1
χ131111111111111111-1-1-1-1-1-111-1-11111-1111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-111
χ141111111111111111-1-1-1-1-1-111-1-11111-111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-11-1-11111111-1-1
χ161111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1111111-1-1-1-111
χ172222222222-2-2-222-22222-2-2-2-2222200-2000000000000000000-200-2000000000000
χ182222222222-2-2-222-22222-2-2-2-2-2-2-2-200-20000000000000000002002000000000000
χ192222222222-2-2-222-2-2-2-2-222-2-222-2-2002000000000000000000200-2000000000000
χ202222222222-2-2-222-2-2-2-2-222-2-2-2-222002000000000000000000-2002000000000000
χ2122222222-2-2222-2-2222-2-222-2-2000022-2-2-200000000000000000000-200200000000
χ2222222222-2-2222-2-2222-2-222-2-20000-2-2-22200000000000000000000200-200000000
χ2322222222-2-2222-2-22-2-222-2-2-2-20000222-2-200000000000000000000200-200000000
χ2422222222-2-2222-2-22-2-222-2-2-2-20000-2-222200000000000000000000-200200000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-222000000200000000000000000002-2000002-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-22200000020000000000000000000-2200000-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000-200000000000000000002-200000-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000000000-22000002-2000000
χ2922-222-2-2-222000-2-202-22-200002-22-20000022−2−222−2−222−2−222−2−20000000000000000
χ3022-222-2-2-222000-2-202-22-200002-22-200000−2−222−2−222−2−222−2−2220000000000000000
χ3122-222-2-2-222000-2-202-22-20000-22-220000022−2−222−2−2−2−222−2−2220000000000000000
χ3222-222-2-2-222000-2-202-22-20000-22-2200000−2−222−2−22222−2−222−2−20000000000000000
χ3322-222-2-2-222000-2-20-22-2200002-2-220000022−2−2−2−22222−2−2−2−2220000000000000000
χ3422-222-2-2-222000-2-20-22-2200002-2-2200000−2−22222−2−2−2−22222−2−20000000000000000
χ3522-222-2-2-222000-2-20-22-220000-222-20000022−2−2−2−222−2−22222−2−20000000000000000
χ3622-222-2-2-222000-2-20-22-220000-222-200000−2−22222−2−222−2−2−2−2220000000000000000
χ372-2-22-2-2222-22-2-22-220000002-200002-202-200002-22-20000000000000000002-20000
χ382-2-22-2-2222-22-2-22-220000002-200002-202-20000-22-22000000000000000000-220000
χ392-2-22-2-2222-22-2-22-220000002-20000-220-2200002-22-2000000000000000000-220000
χ402-2-22-2-2222-22-2-22-220000002-20000-220-220000-22-220000000000000000002-20000
χ412-2-22-2-222-222-2-2-222000000-2200002-20-222-22-2000000000000000002-2000000000
χ422-2-22-2-222-222-2-2-222000000-2200002-20-22-22-2200000000000000000-22000000000
χ432-2-22-2-222-222-2-2-222000000-220000-2202-22-22-200000000000000000-22000000000
χ442-2-22-2-222-222-2-2-222000000-220000-2202-2-22-22000000000000000002-2000000000
χ45444-4-4-44-40044-400-400000000000000000000000000000000000000000000022−2200
χ46444-4-4-44-40044-400-4000000000000000000000000000000000000000000000−222200
χ47444-4-4-44-400-4-44004000000000000000000000000000000000000000000000002i2−2i2
χ48444-4-4-44-400-4-4400400000000000000000000000000000000000000000000000−2i22i2
χ4944-444-4-4-4-4-40004404-4-44000000000000000000000000000000000000000000000
χ5044-444-4-4-4-4-4000440-444-4000000000000000000000000000000000000000000000
χ514-444-44-4-44-4000-44000000000000000000000022−22−2222000000000000000000000000
χ524-444-44-4-44-4000-440000000000000000000000−222222−22000000000000000000000000
χ534-444-44-4-4-440004-400000000000000000022−22−22220000000000000000000000000000
χ544-444-44-4-4-440004-4000000000000000000−222222−220000000000000000000000000000
χ554-44-44-4-440000000000004i−4i00000000000000000002i−2i2i−2i2-22-20000000000000000
χ564-44-44-4-440000000000004i−4i0000000000000000000−2i2i−2i2i-22-220000000000000000
χ574-44-44-4-44000000000000−4i4i00000000000000000002i−2i2i−2i-22-220000000000000000
χ584-44-44-4-44000000000000−4i4i0000000000000000000−2i2i−2i2i2-22-20000000000000000
χ594-4-44-4-4444-4-4444-4-4000000-4400000000000000000000000000000000000000000
χ604-4-44-4-444-44-444-44-40000004-400000000000000000000000000000000000000000
χ614-4-4-4444-4004-4400-400000000000000000000000002i2−2i2−2i22i200000000000000000000
χ624-4-4-4444-4004-4400-40000000000000000000000000−2i22i22i2−2i200000000000000000000
χ634-4-4-4444-400-44-40040000000000000000000000000000022−22−22220000000000000000
χ644-4-4-4444-400-44-400400000000000000000000000000000−222222−220000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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