Finite Group Databasebeta

← Group #169014

Character table — Group #169014

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444422444444442244444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1111-1-11111-1-1-11-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-1111-1-11111-1-1-11-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-1-1-11-11-1-1-11111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-1-11-11-1-1-1111-1-1-1-111111111-1-1
χ91111111111-1-1-1-1111111-111-1-1-1-1-1-111-111-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1111111-111-1-1-1-1-1-111-111-1-1-1-111-1-111-1-111-11
χ111111111111-1-1-1-1111111-1-1-1-1-111-11-11-1-1-11111-1-111-1-1-1-111-11
χ121111111111-1-1-1-1111111-1-1-1-1-111-11-11-1-1-111-1-111-1-11111-1-11-1
χ131111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-111-111-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-11111-1-1-1-1-11111-111-11-11-1-111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-11111-1-1-1-1-11111-111-11-11-1-1-1-11111-1-111-1-1-11
χ17222222222-222-2-2-2-22-20022200-2-2-22000-200000000000000000
χ18222222222-222-2-2-2-22-2002-2-20022-2-2000200000000000000000
χ19222222222-2-2-222-2-22-200-22200222-2000-200000000000000000
χ20222222222-2-2-222-2-22-200-2-2-200-2-222000200000000000000000
χ2122222222-222222-2-2-2222-2002200-200-2-2000000000000000000
χ2222222222-222222-2-2-22-2-2-200-2-200-20022000000000000000000
χ2322222222-22-2-2-2-2-2-2-2222200-2-200200-22000000000000000000
χ2422222222-22-2-2-2-2-2-2-22-2-220022002002-2000000000000000000
χ2522222222-2-222-2-222-2-200-2000000202000-2-2200000000000000
χ2622222222-2-222-2-222-2-200-200000020-200022-200000000000000
χ2722222222-2-2-2-22222-2-2002000000-202000-22-200000000000000
χ2822222222-2-2-2-22222-2-2002000000-20-20002-2200000000000000
χ292-2-2-2222-2022-22-2000-22-20002-200000000000i2−i2i2−i2i2−i2i2−i2000000
χ302-2-2-2222-2022-22-2000-22-20002-200000000000−i2i2−i2i2−i2i2−i2i2000000
χ312-2-2-2222-2022-22-2000-2-22000-2200000000000i2−i2i2−i2−i2i2−i2i2000000
χ322-2-2-2222-2022-22-2000-2-22000-2200000000000−i2i2−i2i2i2−i2i2−i2000000
χ332-2-2-2222-202-22-22000-22-2000-2200000000000i2−i2−i2i2i2−i2−i2i2000000
χ342-2-2-2222-202-22-22000-22-2000-2200000000000−i2i2i2−i2−i2i2i2−i2000000
χ352-2-2-2222-202-22-22000-2-220002-200000000000i2−i2−i2i2−i2i2i2−i2000000
χ362-2-2-2222-202-22-22000-2-220002-200000000000−i2i2i2−i2i2−i2−i2i2000000
χ37444-44-4-4-440000000-400004-4000000000000000000000000000
χ38444-44-4-4-440000000-40000-44000000000000000000000000000
χ39444-44-4-4-4-400000004000000004i−4i00000000000000000000000
χ40444-44-4-4-4-40000000400000000−4i4i00000000000000000000000
χ414-444-4-44-40000004-400000000000000000000000000002i2−2i20000
χ424-444-4-44-40000004-40000000000000000000000000000−2i22i20000
χ434-444-4-44-4000000-440000000000000000000000000000002i2−2i200
χ444-444-4-44-4000000-44000000000000000000000000000000−2i22i200
χ454-4-4-4444-40-44-4-44000400000000000000000000000000000000
χ464-4-4-4444-40-4-444-4000400000000000000000000000000000000
χ4788-88-88-8-8000000000000000000000000000000000000000000
χ4888-8-8-8-888000000000000000000000000000000000000000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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