Finite Group Databasebeta

← Group #254804

Character table — Group #254804

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244442222444422444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111-1-1-111-111-1-1-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111111-1-111-1-1-111-111-1-1-1-1-1-111-1-111-1-1-1-11111
χ7111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ8111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ91111111111111111-1-111-1-111-111-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-111-1-111-111-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ111111111111111111-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ121111111111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-22222-2-2-2-2-20020000000000000000000000
χ18222222222222-2-2-2-222-2-2-2-222200-20000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-2200-20000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-22222-20020000000000000000000000
χ2122222222-2-2-2-222-2-2002-2002-200002-2002-20000000000000000
χ2222222222-2-2-2-222-2-2002-2002-20000-2200-220000000000000000
χ2322222222-2-2-2-222-2-200-2200-2200002-200-220000000000000000
χ2422222222-2-2-2-222-2-200-2200-220000-22002-20000000000000000
χ2522222222-2-2-2-2-2-222002-200-2202-20002-2000000000000000000
χ2622222222-2-2-2-2-2-222002-200-220-22000-22000000000000000000
χ2722222222-2-2-2-2-2-22200-22002-202-2000-22000000000000000000
χ2822222222-2-2-2-2-2-22200-22002-20-220002-2000000000000000000
χ292-2-2222-2-222-2-22-22-22-2002-2000000000000002i−2i002i−2i00000000
χ302-2-2222-2-222-2-22-22-22-2002-200000000000000−2i2i00−2i2i00000000
χ312-2-2222-2-222-2-22-22-2-2200-22000000000000002i−2i00−2i2i00000000
χ322-2-2222-2-222-2-22-22-2-2200-2200000000000000−2i2i002i−2i00000000
χ332-2-2222-2-222-2-2-22-222-200-220000000000002i−2i002i−2i0000000000
χ342-2-2222-2-222-2-2-22-222-200-22000000000000−2i2i00−2i2i0000000000
χ352-2-2222-2-222-2-2-22-22-22002-20000000000002i−2i00−2i2i0000000000
χ362-2-2222-2-222-2-2-22-22-22002-2000000000000−2i2i002i−2i0000000000
χ374444-4-4-4-44-44-40000000000000000000000000000000022−220000
χ384444-4-4-4-44-44-400000000000000000000000000000000−22220000
χ394444-4-4-4-4-44-4400000000000000000000000000000000000022−22
χ404444-4-4-4-4-44-44000000000000000000000000000000000000−2222
χ414-4-4444-4-4-4-4444-4-440000000000000000000000000000000000
χ424-4-4444-4-4-4-444-444-40000000000000000000000000000000000
χ434-4-44-4-4444-4-4400000000000000000000000000000022−22000000
χ444-4-44-4-4444-4-44000000000000000000000000000000−2222000000
χ454-4-44-4-444-444-4000000000000000000000000000000000022−2200
χ464-4-44-4-444-444-40000000000000000000000000000000000−222200
χ4788-8-88-88-8000000000000000000000000000000000000000000
χ4888-8-8-88-88000000000000000000000000000000000000000000
χ498-88-88-8-88000000000000000000000000000000000000000000
χ508-88-8-888-8000000000000000000000000000000000000000000

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