Finite Group Databasebeta

← Group #169486

Character table — Group #169486

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444422224444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111-1-1-1-1-11-1-11-11111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-11111-1-1-1-1-11-1-11-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11111-1-111-11-1-11-1-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-11111-1-111-11-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-111-1-1-1-11-11-1-11-111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-111-1-1-1-11-11-1-11-11-1-1-1-11111-1-1-1-111
χ9111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1111-1111-1-1-1-111-1-1111-1
χ12111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1111-11-1-11111-1-111-1-1-11
χ13111111111-1-1-1-111111-1-111-1-111-1-1-11-1-1-111111-1-111-1-1-1-111-11
χ14111111111-1-1-1-111111-1-111-1-111-1-1-11-1-1-1111-1-111-1-11111-1-11-1
χ15111111111-1-1-1-111111-1-1-1-1-1-111111-11-11-11-111-1-1-1-11111-1-1-11
χ16111111111-1-1-1-111111-1-1-1-1-1-111111-11-11-11-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-2-2-22-200222-200220-200-200000000000000000
χ1822222222222-2-2-2-2-22-200-2-22-200-2-20200200000000000000000
χ19222222222-2-222-2-2-22-20022-2200-2-20-200200000000000000000
χ20222222222-2-222-2-2-22-200-2-2-2200220200-200000000000000000
χ2122222222-22222-222-2-22200-2-22200000-200-2000000000000000
χ2222222222-22222-222-2-2-2-200-2-2-2-2000002002000000000000000
χ2322222222-222-2-22-2-2-220000-22000020-200-20200000000000000
χ2422222222-222-2-22-2-2-220000-220000-2020020-200000000000000
χ2522222222-2-2-2222-2-2-2200002-2000020-20020-200000000000000
χ2622222222-2-2-2222-2-2-2200002-20000-20200-20200000000000000
χ2722222222-2-2-2-2-2-222-2-2220022-2-200000-2002000000000000000
χ2822222222-2-2-2-2-2-222-2-2-2-200222200000200-2000000000000000
χ292-222-2-22-202i−2i2i−2i02-2002-200002i−2i000000000000002−2i2−i22−2i2−i200
χ302-222-2-22-202i−2i2i−2i02-2002-200002i−2i00000000000000−22−i2i2−22−i2i200
χ312-222-2-22-202i−2i2i−2i02-200-220000−2i2i000000000000002−2i2−i2−22−i2i200
χ322-222-2-22-202i−2i2i−2i02-200-220000−2i2i00000000000000−22−i2i22−2i2−i200
χ332-222-2-22-20−2i2i−2i2i02-2002-20000−2i2i000000000000002−2−i2i22−2−i2i200
χ342-222-2-22-20−2i2i−2i2i02-2002-20000−2i2i00000000000000−22i2−i2−22i2−i200
χ352-222-2-22-20−2i2i−2i2i02-200-2200002i−2i000000000000002−2−i2i2−22i2−i200
χ362-222-2-22-20−2i2i−2i2i02-200-2200002i−2i00000000000000−22i2−i22−2−i2i200
χ37444-44-4-4-440000000-40004-40000000000000000000000000000
χ38444-44-4-4-440000000-4000-440000000000000000000000000000
χ39444-44-4-4-4-4000000040000000004i−4i0000000000000000000000
χ40444-44-4-4-4-400000004000000000−4i4i0000000000000000000000
χ414-444-4-44-404i−4i−4i4i0-440000000000000000000000000000000000
χ424-444-4-44-40−4i4i4i−4i0-440000000000000000000000000000000000
χ434-4-444-4-44000004000-40000000000000000002i2−2i2000000000000
χ444-4-444-4-44000004000-4000000000000000000−2i22i2000000000000
χ454-4-444-4-4400000-400040000000000000000000022−220000000000
χ464-4-444-4-4400000-4000400000000000000000000−22220000000000
χ4788-88-88-8-8000000000000000000000000000000000000000000
χ4888-8-8-8-888000000000000000000000000000000000000000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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