Finite Group Databasebeta

← Group #167662

Character table — Group #167662

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444422444444488888888888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1
χ311111111111111111111111111-1-1111-1-111111111-1-1-1-1-1-1-1-11-1-1-11-1-111-111-1-1-1-1
χ411111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1111-1-1111111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1111111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-11111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-111-1111-1-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-111-1111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-111-1-1-111111-1-1
χ1311111111-1-1-1-1-1-1-1-11-1-111111-1-111-111-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1111-1-111
χ1411111111-1-1-1-1-1-1-1-11-1-111111-1-111-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-111-1-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-11111-1-1-1-1-111
χ172222222222222222-2-2-222-2-2-22200-222000000000000000000-2000-200000000000
χ182222222222222222-2-2-222-2-2-2-2-200-2-2-20000000000000000002000200000000000
χ19222222222222-2-2-2-22-2-2-2-2-2-220022200-2-200000000000000000-200020000000000
χ20222222222222-2-2-2-22-2-2-2-2-2-2200-2-220022000000000000000002000-20000000000
χ21222222222222-2-2-2-2-222-2-222-20000-200000000000000000000002200-200-2000000
χ22222222222222-2-2-2-2-222-2-222-20000-20000000000000000000000-2-2002002000000
χ2322222222-2-2-2-22222222-2-2-2-220022-2002200000000000000000-2000-20000000000
χ2422222222-2-2-2-22222222-2-2-2-2200-2-2-200-2-200000000000000000200020000000000
χ2522222222-2-2-2-22222-2-2-2-2-222-20000200000000000000000000002-200200-2000000
χ2622222222-2-2-2-22222-2-2-2-2-222-2000020000000000000000000000-2200-2002000000
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-222002-2-20000000000000000002000-200000000000
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-200222000000000000000000-2000200000000000
χ29222-2-22-2-2000022-2-2-22-200002002i−2i0002i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000
χ30222-2-22-2-2000022-2-2-22-200002002i−2i0002i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000
χ31222-2-22-2-2000022-2-2-22-20000200−2i2i000−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−2220000000000000000
χ32222-2-22-2-2000022-2-2-22-20000200−2i2i000−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−20000000000000000
χ33222-2-22-2-20000-2-222-2-2200002002i−2i000−2i2ii2i2−i2−i2−i2−i2i2i222−2−2−2−2220000000000000000
χ34222-2-22-2-20000-2-222-2-2200002002i−2i000−2i2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−20000000000000000
χ35222-2-22-2-20000-2-222-2-220000200−2i2i0002i−2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−20000000000000000
χ36222-2-22-2-20000-2-222-2-220000200−2i2i0002i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000000000000000
χ372-22-22-22-22i2i−2i−2i2i−2i2i−2i0002-20002-20002i−2i00000000002−22−2i2−i2i2−i20000000000002−2i2−i2
χ382-22-22-22-22i2i−2i−2i2i−2i2i−2i0002-20002-20002i−2i0000000000−22−22−i2i2−i2i2000000000000−22−i2i2
χ392-22-22-22-22i2i−2i−2i2i−2i2i−2i0002-2000-22000−2i2i00000000002−22−2i2−i2i2−i2000000000000−22−i2i2
χ402-22-22-22-22i2i−2i−2i2i−2i2i−2i0002-2000-22000−2i2i0000000000−22−22−i2i2−i2i20000000000002−2i2−i2
χ412-22-22-22-2−2i−2i2i2i−2i2i−2i2i0002-20002-2000−2i2i00000000002−22−2−i2i2−i2i20000000000002−2−i2i2
χ422-22-22-22-2−2i−2i2i2i−2i2i−2i2i0002-20002-2000−2i2i0000000000−22−22i2−i2i2−i2000000000000−22i2−i2
χ432-22-22-22-2−2i−2i2i2i−2i2i−2i2i0002-2000-220002i−2i00000000002−22−2−i2i2−i2i2000000000000−22i2−i2
χ442-22-22-22-2−2i−2i2i2i−2i2i−2i2i0002-2000-220002i−2i0000000000−22−22i2−i2i2−i20000000000002−2−i2i2
χ45444-4-44-4-4000044-4-44-440000-400000000000000000000000000000000000000000
χ46444-4-44-4-40000-4-44444-40000-400000000000000000000000000000000000000000
χ4744-4-44-4-444i−4i4i−4i000000000000000000000000000000000000000000002i−2i02-20000
χ4844-4-44-4-444i−4i4i−4i00000000000000000000000000000000000000000000−2i2i0-220000
χ4944-4-44-4-44−4i4i−4i4i000000000000000000000000000000000000000000002i−2i0-220000
χ5044-4-44-4-44−4i4i−4i4i00000000000000000000000000000000000000000000−2i2i02-20000
χ514-444-4-4-4400004i−4i−4i4i00000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ524-444-4-4-4400004i−4i−4i4i0000000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ534-444-4-4-440000−4i4i4i−4i00000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ544-444-4-4-440000−4i4i4i−4i0000000000000000000000000-222-22i−2i−2i2i0000000000000000
χ554-44-44-44-44i4i−4i−4i−4i4i−4i4i000-4400000000000000000000000000000000000000000000
χ564-44-44-44-4−4i−4i4i4i4i−4i4i−4i000-4400000000000000000000000000000000000000000000
χ574-4-4444-4-44-4-440000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ584-4-4444-4-44-4-44000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ594-4-4444-4-4-444-40000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ604-4-4444-4-4-444-4000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ614-4-4-4-444400000000000004-40000000000000022−22−2222000000000000000000000000
χ624-4-4-4-444400000000000004-400000000000000−222222−22000000000000000000000000
χ634-4-4-4-44440000000000000-44000000000022−22−22220000000000000000000000000000
χ644-4-4-4-44440000000000000-440000000000−222222−220000000000000000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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