Finite Group Databasebeta

← Group #267740

Character table — Group #267740

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222244444444444444888888888888888888888816161616161616161616161616161616
order12222222222222222244444444444444444488888888888888882444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ5111111111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11111-111-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-1-11-1-1-11111
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-111-1111-1-1-1-1
χ91111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-11111-1-111-1-1
χ101111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111
χ111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-1-1-11111-1-111
χ121111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111111-1-1-1-111-1-1
χ131111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111-1-111-1111-1-1-1-1-111
χ141111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-111-1-11-1-1-111111-1-1
χ151111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11-1-111-1-1-11-11111-1-1
χ161111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-111-1-1111-11-1-1-1-111
χ17222222222222222222-2-2-2-2-2-22222-2-2-2-222-2-200000000000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-222222222-2-2-2-2-2-22200000000000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-22222-2-200000000000000000000000000000000
χ2122222222-2-22222-2-2-2-22-222-2-200002-2000000000000000000000022000-200-20000000
χ2222222222-2-22222-2-2-2-22-222-2-200002-20000000000000000000000-2-200020020000000
χ2322222222-2-22222-2-2-2-2-22-2-2220000-2200000000000000000000000022-20000-2000000
χ2422222222-2-22222-2-2-2-2-22-2-2220000-22000000000000000000000000-2-2200002000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-22200002-200000000000000000000002-2000200-20000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-22200002-20000000000000000000000-22000-20020000000
χ2722222222-2-2-2-2-2-2-2-222-2222-2-20000-220000000000000000000000002-220000-2000000
χ2822222222-2-2-2-2-2-2-2-222-2222-2-20000-22000000000000000000000000-22-200002000000
χ29222-2-2-22-22-200002-200002i−2i2i−2i2i2i−2i−2i0000002-2i2i2−i2−i222−2−222−2−2i2i2−i2−i20000000000000000
χ30222-2-2-22-22-200002-200002i−2i2i−2i2i2i−2i−2i0000002-2−i2−i2i2i2−2−222−2−222−i2−i2i2i20000000000000000
χ31222-2-2-22-22-200002-200002i−2i2i−2i−2i−2i2i2i000000-22i2i2−i2−i222−2−2−2−222−i2−i2i2i20000000000000000
χ32222-2-2-22-22-200002-200002i−2i2i−2i−2i−2i2i2i000000-22−i2−i2i2i2−2−22222−2−2i2i2−i2−i20000000000000000
χ33222-2-2-22-22-200002-20000−2i2i−2i2i2i2i−2i−2i000000-22i2i2−i2−i2−2−22222−2−2−i2−i2i2i20000000000000000
χ34222-2-2-22-22-200002-20000−2i2i−2i2i2i2i−2i−2i000000-22−i2−i2i2i222−2−2−2−222i2i2−i2−i20000000000000000
χ35222-2-2-22-22-200002-20000−2i2i−2i2i−2i−2i2i2i0000002-2i2i2−i2−i2−2−222−2−222i2i2−i2−i20000000000000000
χ36222-2-2-22-22-200002-20000−2i2i−2i2i−2i−2i2i2i0000002-2−i2−i2i2i222−2−222−2−2−i2−i2i2i20000000000000000
χ372-2-22-222-22222-2-2-2-22-20000002i−2i2i−2i00002i−2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ382-2-22-222-22222-2-2-2-22-20000002i−2i2i−2i00002i−2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ392-2-22-222-22222-2-2-2-22-2000000−2i2i−2i2i0000−2i2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ402-2-22-222-22222-2-2-2-22-2000000−2i2i−2i2i0000−2i2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ412-2-22-222-222-2-222-2-2-220000002i−2i2i−2i0000−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ422-2-22-222-222-2-222-2-2-220000002i−2i2i−2i0000−2i2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ432-2-22-222-222-2-222-2-2-22000000−2i2i−2i2i00002i−2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000000000000
χ442-2-22-222-222-2-222-2-2-22000000−2i2i−2i2i00002i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ452-2-2-22-2222-20000-22002200002-2-22-2-22-200002i−2i−2i2i0000−2i2i2i−2i00000000000000000000
χ462-2-2-22-2222-20000-22002200002-2-22-2-22-20000−2i2i2i−2i00002i−2i−2i2i00000000000000000000
χ472-2-2-22-2222-20000-2200220000-222-2-2-2-2200002i−2i−2i2i00002i−2i−2i2i00000000000000000000
χ482-2-2-22-2222-20000-2200220000-222-2-2-2-220000−2i2i2i−2i0000−2i2i2i−2i00000000000000000000
χ492-2-2-22-2222-20000-2200-2-200002-2-2222-22000000002-2-2200002-2-220000000000000000
χ502-2-2-22-2222-20000-2200-2-200002-2-2222-2200000000-222-20000-222-20000000000000000
χ512-2-2-22-2222-20000-2200-2-20000-222-2222-2000000002-2-220000-222-20000000000000000
χ522-2-2-22-2222-20000-2200-2-20000-222-2222-200000000-222-200002-2-220000000000000000
χ53444-4-4-44-4-440000-4400004i−4i−4i4i00000000000000000000000000000000000000000000
χ54444-4-4-44-4-440000-440000−4i4i4i−4i00000000000000000000000000000000000000000000
χ5544-444-4-4-4004-44-4000000000000000000000000000000000000000000000000002-22-2
χ5644-444-4-4-4004-44-400000000000000000000000000000000000000000000000000-22-22
χ5744-444-4-4-400-44-44000000000000000000000000000000000000000000000000002-2-22
χ5844-444-4-4-400-44-4400000000000000000000000000000000000000000000000000-222-2
χ594-444-4-4-44004-4-44000000000000000000000000000000000000000000002i−2i002i−2i0000
χ604-444-4-4-44004-4-4400000000000000000000000000000000000000000000−2i2i00−2i2i0000
χ614-444-4-4-4400-444-4000000000000000000000000000000000000000000002i−2i00−2i2i0000
χ624-444-4-4-4400-444-400000000000000000000000000000000000000000000−2i2i002i−2i0000
χ634-4-44-444-4-4-444-4-444-4400000000000000000000000000000000000000000000000000
χ644-4-44-444-4-4-4-4-444444-400000000000000000000000000000000000000000000000000
χ654-4-4-44-444-4400004-4004-400000000-4400000000000000000000000000000000000000
χ664-4-4-44-444-4400004-400-44000000004-400000000000000000000000000000000000000
χ6788-8-8-88-88000000000000000000000000000000000000000000000000000000000000
χ688-88-888-8-8000000000000000000000000000000000000000000000000000000000000

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