Finite Group Databasebeta

← Group #247439

Character table — Group #247439

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444442244444422444444488888888888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1111-1-1111111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-111111111
χ7111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-11111-11111-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-1-1-111-1-111
χ111111111111111111-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111
χ121111111111111111-1-1-1-1-1-11111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1
χ131111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-111
χ141111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-11111-1-111-1-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11111-1-1-1-11111-1-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-11111-1-111-1-1-1-111
χ172222222222-2-222-2-222-2-2-2-2-2-222200-2-2000000000000000000-2000200000000000
χ182222222222-2-222-2-222-2-2-2-2-2-2-2-2200220000000000000000002000-200000000000
χ192222222222-2-222-2-2-2-22222-2-222-200-2-20000000000000000002000-200000000000
χ202222222222-2-222-2-2-2-22222-2-2-2-2-20022000000000000000000-2000200000000000
χ2122222222-2-222-2-2222222-2-2-2-200-222002200000000000000000-2000-20000000000
χ2222222222-2-222-2-2222222-2-2-2-200-2-2-200-2-200000000000000000200020000000000
χ2322222222-2-222-2-222-2-2-2-222-2-20022200-2-200000000000000000-200020000000000
χ2422222222-2-222-2-222-2-2-2-222-2-2002-2-20022000000000000000002000-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2222200-20000000000000000000000002-2002-200000000
χ2622222222-2-2-2-2-2-2-2-222-2-2222200-2000000000000000000000000-2200-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-2220020000000000000000000000002-200-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-222002000000000000000000000000-22002-200000000
χ29222-2-2-22-200-2-200222-22-200000002i−2i002i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000
χ30222-2-2-22-200-2-200222-22-200000002i−2i002i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000
χ31222-2-2-22-200-2-200222-22-20000000−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−2220000000000000000
χ32222-2-2-22-200-2-200222-22-20000000−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−20000000000000000
χ33222-2-2-22-200-2-20022-22-2200000002i−2i00−2i2ii2i2−i2−i2−i2−i2i2i222−2−2−2−2220000000000000000
χ34222-2-2-22-200-2-20022-22-2200000002i−2i00−2i2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−20000000000000000
χ35222-2-2-22-200-2-20022-22-220000000−2i2i002i−2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−20000000000000000
χ36222-2-2-22-200-2-20022-22-220000000−2i2i002i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000000000000000
χ372-2-22-2-222-2-22-2222-20000002-22-20002-20000002-22-20000000000000000002-20000
χ382-2-22-2-222-2-22-2222-20000002-22-20002-2000000-22-22000000000000000000-220000
χ392-2-22-2-222-2-22-2222-20000002-2-22000-220000002-22-2000000000000000000-220000
χ402-2-22-2-222-2-22-2222-20000002-2-22000-22000000-22-220000000000000000002-20000
χ412-2-22-2-222-2-2-2222-22000000-222-2000-22002-22-2000000000000000000002-2000000
χ422-2-22-2-222-2-2-2222-22000000-222-2000-2200-22-2200000000000000000000-22000000
χ432-2-22-2-222-2-2-2222-22000000-22-220002-2002-22-200000000000000000000-22000000
χ442-2-22-2-222-2-2-2222-22000000-22-220002-200-22-22000000000000000000002-2000000
χ45444-4-4-44-4004400-4-44-4-44000000000000000000000000000000000000000000000
χ46444-4-4-44-4004400-4-4-444-4000000000000000000000000000000000000000000000
χ4744-44-44-4-44-4004-40000000000000000000000000000000000000000000000022−2200
χ4844-44-44-4-44-4004-400000000000000000000000000000000000000000000000−222200
χ4944-44-44-4-4-4400-44000000000000000000000000000000000000000000000000022−22
χ5044-44-44-4-4-4400-440000000000000000000000000000000000000000000000000−2222
χ514-4444-4-4-44-400-44000000000000000000000000000000022−2222−220000000000000000
χ524-4444-4-4-44-400-440000000000000000000000000000000−2222−22220000000000000000
χ534-4444-4-4-4-44004-400000000000000000000000000022−2222−2200000000000000000000
χ544-4444-4-4-4-44004-4000000000000000000000000000−2222−222200000000000000000000
χ554-44-4-44-440000000000004-400000000000000000002-2-222-2-220000000000000000
χ564-44-4-44-440000000000004-40000000000000000000-222-2-222-20000000000000000
χ574-44-4-44-44000000000000-4400000000000000000002-2-22-222-20000000000000000
χ584-44-4-44-44000000000000-440000000000000000000-222-22-2-220000000000000000
χ594-4-44-4-444444-4-4-44-4000000-4400000000000000000000000000000000000000000
χ604-4-44-4-44444-44-4-4-440000004-400000000000000000000000000000000000000000
χ614-4-4-4444-4004-400-44000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ624-4-4-4444-4004-400-4400000000000000000−2i22i22i2−2i20000000000000000000000000000
χ634-4-4-4444-400-44004-40000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ644-4-4-4444-400-44004-4000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ6588-8-88-8-88000000000000000000000000000000000000000000000000000000000

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