Finite Group Databasebeta

← Group #247484

Character table — Group #247484

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444442244444444444444488888888888888882244444444448888
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
χ311111111111111111111111111-1-111-1-1111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1111111
χ5111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-1
χ6111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-11-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-11111-11111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1111111-1-111-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-1
χ101111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-111-1-111
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-111111-1-111
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-111-1-1111111-11111-1-1-1-1-1-1-1-111111-1-1-1-111-111-1-1-1-111
χ141111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1111111-1-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1111111-111-1-11-1-11111-1-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-111-111111-1-1-1-1-1-111
χ1722222222222-2-2-2-2222-2-222-2-2002200-2-2-200000000000000000200000-200000000
χ1822222222222-2-2-2-2222-2-222-2-200-2-20022-200000000000000000-200000200000000
χ1922222222222-2-2-2-22-2-222-2-2-2-2002200-2-2200000000000000000-200000200000000
χ2022222222222-2-2-2-22-2-222-2-2-2-200-2-20022200000000000000000200000-200000000
χ2122222222-2-2-22222-222-2-2-2-2-2-22200-2-2002000000000000000020-20000000000000
χ2222222222-2-2-22222-222-2-2-2-2-2-2-2-200220020000000000000000-2020000000000000
χ2322222222-2-2-22222-2-2-22222-2-222002200-20000000000000000-20-20000000000000
χ2422222222-2-2-22222-2-2-22222-2-2-2-200-2-200-200000000000000002020000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-22200000000-200000000000000000002-20002-2000000
χ2622222222-2-2-2-2-2-2-2-22222-2-22200000000-20000000000000000000-22000-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000200000000000000000002-2000-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222220000000020000000000000000000-220002-2000000
χ2922-22-2-2-220002-22-20002i−2i2i−2i002-2002i−2i00022−2−2i2i2−i2−i222−2−2i2i2−i2−i20000000000000000
χ3022-22-2-2-220002-22-20002i−2i2i−2i002-2002i−2i000−2−222−i2−i2i2i2−2−222−i2−i2i2i20000000000000000
χ3122-22-2-2-220002-22-20002i−2i2i−2i00-2200−2i2i00022−2−2i2i2−i2−i2−2−222−i2−i2i2i20000000000000000
χ3222-22-2-2-220002-22-20002i−2i2i−2i00-2200−2i2i000−2−222−i2−i2i2i222−2−2i2i2−i2−i20000000000000000
χ3322-22-2-2-220002-22-2000−2i2i−2i2i002-200−2i2i00022−2−2−i2−i2i2i222−2−2−i2−i2i2i20000000000000000
χ3422-22-2-2-220002-22-2000−2i2i−2i2i002-200−2i2i000−2−222i2i2−i2−i2−2−222i2i2−i2−i20000000000000000
χ3522-22-2-2-220002-22-2000−2i2i−2i2i00-22002i−2i00022−2−2−i2−i2i2i2−2−222i2i2−i2−i20000000000000000
χ3622-22-2-2-220002-22-2000−2i2i−2i2i00-22002i−2i000−2−222i2i2−i2−i222−2−2−i2−i2i2i20000000000000000
χ372-2-2-22-2222-2-22-2-2220000002-2002-2002-2000002-22-20000000000000000002-20000
χ382-2-2-22-2222-2-22-2-2220000002-2002-2002-200000-22-22000000000000000000-220000
χ392-2-2-22-2222-2-22-2-2220000002-200-2200-22000002-22-2000000000000000000-220000
χ402-2-2-22-2222-2-22-2-2220000002-200-2200-2200000-22-220000000000000000002-20000
χ412-2-2-22-2222-2-2-222-22000000-22002-200-2202-22-2000000000000000002-2000000000
χ422-2-2-22-2222-2-2-222-22000000-22002-200-220-22-2200000000000000000-22000000000
χ432-2-2-22-2222-2-2-222-22000000-2200-22002-202-22-200000000000000000-22000000000
χ442-2-2-22-2222-2-2-222-22000000-2200-22002-20-22-22000000000000000002-2000000000
χ45444-4-4-44-444-40000-40000000000000000000000000000000000000000000000022−22
χ46444-4-4-44-444-40000-400000000000000000000000000000000000000000000000−2222
χ47444-4-4-44-4-4-44000040000000000000000000000000000000000000000000002i2−2i200
χ48444-4-4-44-4-4-4400004000000000000000000000000000000000000000000000−2i22i200
χ4944-44-4-4-44000-44-440004i−4i−4i4i0000000000000000000000000000000000000000000
χ5044-44-4-4-44000-44-44000−4i4i4i−4i0000000000000000000000000000000000000000000
χ514-4444-4-4-4000000004-4000000000000000000000002-22-22-22-20000000000000000
χ524-4444-4-4-4000000004-400000000000000000000000-22-22-22-220000000000000000
χ534-4444-4-4-400000000-44000000000000000000000002-22-2-22-220000000000000000
χ544-4444-4-4-400000000-4400000000000000000000000-22-222-22-20000000000000000
χ554-44-4-44-4400044-4-400000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ564-44-4-44-4400044-4-40000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ574-44-4-44-44000-4-44400000000000000000022−22−22220000000000000000000000000000
χ584-44-4-44-44000-4-444000000000000000000−222222−220000000000000000000000000000
χ594-4-44-444-44-440000-4000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ604-4-44-444-44-440000-400000000000000000000000000000−2i22i22i2−2i20000000000000000
χ614-4-44-444-4-44-400004000000000000000000000000022−22−222200000000000000000000
χ624-4-44-444-4-44-4000040000000000000000000000000−222222−2200000000000000000000
χ634-4-4-44-444-4444-4-44-4000000-4400000000000000000000000000000000000000000
χ644-4-4-44-444-444-444-4-40000004-400000000000000000000000000000000000000000
χ6588-8-888-8-8000000000000000000000000000000000000000000000000000000000

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