Finite Group Databasebeta

← Group #254799

Character table — Group #254799

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244442244444422244444444444444488888888
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
χ511111111111111111111-1-1-1-1-11-1-11-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-11-1-11-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-11-1-11-1-111-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-11111-111-1-1-11-11-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-111-1-1-11-11-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-111-11-1111-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-1-1-1-111-11-11-1-111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111-11-111-1-1111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-111-11-111-1-11-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11-1111-1-111-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11-1111-1-111-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-222-2-2200-20000000000000000000000
χ18222222222222-2-2-2-222-2-2-2-222-20020000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-2-20020000000000000000000000
χ20222222222222-2-2-2-2-2-222-2-222200-20000000000000000000000
χ2122222222-2-2-2-222-2-22-22-2000000200200-2-20000000000000000
χ2222222222-2-2-2-222-2-22-22-2000000-200-200220000000000000000
χ2322222222-2-2-2-222-2-2-22-22000000200-200-220000000000000000
χ2422222222-2-2-2-222-2-2-22-22000000-2002002-20000000000000000
χ2522222222-2-2-2-2-2-2222-2-2200000200-20-22000000000000000000
χ2622222222-2-2-2-2-2-2222-2-2200000-200202-2000000000000000000
χ2722222222-2-2-2-2-2-222-222-20000020020-2-2000000000000000000
χ2822222222-2-2-2-2-2-222-222-200000-200-2022000000000000000000
χ2922-2-222-2-222-2-22-22-200002-22-20000000000002i−2i002i−2i00000000
χ3022-2-222-2-222-2-22-22-200002-22-2000000000000−2i2i00−2i2i00000000
χ3122-2-222-2-222-2-22-22-20000-22-220000000000002i−2i00−2i2i00000000
χ3222-2-222-2-222-2-22-22-20000-22-22000000000000−2i2i002i−2i00000000
χ3322-2-222-2-222-2-2-22-2200002-2-2200000000002i−2i002i−2i0000000000
χ3422-2-222-2-222-2-2-22-2200002-2-220000000000−2i2i00−2i2i0000000000
χ3522-2-222-2-222-2-2-22-220000-222-200000000002i−2i00−2i2i0000000000
χ3622-2-222-2-222-2-2-22-220000-222-20000000000−2i2i002i−2i0000000000
χ3744-4-444-4-4-4-4444-4-440000000000000000000000000000000000
χ3844-4-444-4-4-4-444-444-40000000000000000000000000000000000
χ394-44-44-44-44-44-40000000000000000000000000000000000002i2−2i2
χ404-44-44-44-44-44-4000000000000000000000000000000000000−2i22i2
χ414-44-44-44-4-44-44000000000000000000000000000000000022−2200
χ424-44-44-44-4-44-440000000000000000000000000000000000−222200
χ434-4-444-4-444-4-440000000000000000000000000000000022−220000
χ444-4-444-4-444-4-4400000000000000000000000000000000−22220000
χ454-4-444-4-44-444-40000000000000000000000000000002i2−2i2000000
χ464-4-444-4-44-444-4000000000000000000000000000000−2i22i2000000
χ478888-8-8-8-8000000000000000000000000000000000000000000
χ4888-8-8-8-888000000000000000000000000000000000000000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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