Finite Group Databasebeta

← Group #259805

Character table — Group #259805

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244444444444422244444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111-1-11111-11-1-1-1111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-111-1-111-1-1-1-111-111-111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-111-1-1-1-111-11-1-1-1-1-11-1-11111-1-1-1-11111
χ8111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ91111111111111111-1-111-1-111111-1-111-1-1-1-1-11-111-1-111-1-111-1-1
χ101111111111111111-1-111-1-11111-11-1-1-11-1-1-11-1111-1-1-1-111-1-111
χ111111111111111111-1-111-1-111-1-11-1-111-1-111-11-1-1-111-1-111-1-111
χ121111111111111111-1-111-1-111-1-1-11-1-1-11-1111-11-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111-111-111-1-1-1-11-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-111-111-11-11-1-111-1-1-111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-11-111-11111-1-1111-1-1-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-111-11-111111-111-1-111-1-1-1-111
χ17222222222222-2-2-2-22222-2-2-2-20000-2000200000000000000000
χ18222222222222-2-2-2-222-2-2-2-22200002000-200000000000000000
χ19222222222222-2-2-2-2-2-22222-2-200002000-200000000000000000
χ20222222222222-2-2-2-2-2-2-2-222220000-2000200000000000000000
χ2122222222-2-2-2-22-22-22-2002-200000000220000-2-2000000000000
χ2222222222-2-2-2-22-22-22-2002-200000000-2-2000022000000000000
χ2322222222-2-2-2-22-22-2-2200-22000000002-20000-22000000000000
χ2422222222-2-2-2-22-22-2-2200-2200000000-2200002-2000000000000
χ2522222222-2-2-2-2-22-222-200-220000220-200000-200000000000000
χ2622222222-2-2-2-2-22-222-200-220000-2-20200000200000000000000
χ2722222222-2-2-2-2-22-22-22002-200002-20-200000200000000000000
χ2822222222-2-2-2-2-22-22-22002-20000-220200000-200000000000000
χ2922-22-22-2-22-22-22-2-22002i−2i002i−2i2-20000000000002i−2i0000000000
χ3022-22-22-2-22-22-22-2-22002i−2i002i−2i-22000000000000−2i2i0000000000
χ3122-22-22-2-22-22-22-2-2200−2i2i00−2i2i2-2000000000000−2i2i0000000000
χ3222-22-22-2-22-22-22-2-2200−2i2i00−2i2i-220000000000002i−2i0000000000
χ3322-22-22-2-22-22-2-222-2002i−2i00−2i2i0000000002i−2i000002-200000000
χ3422-22-22-2-22-22-2-222-2002i−2i00−2i2i000000000−2i2i00000-2200000000
χ3522-22-22-2-22-22-2-222-200−2i2i002i−2i0000000002i−2i00000-2200000000
χ3622-22-22-2-22-22-2-222-200−2i2i002i−2i000000000−2i2i000002-200000000
χ3744-44-44-4-4-44-4444-4-40000000000000000000000000000000000
χ3844-44-44-4-4-44-44-4-4440000000000000000000000000000000000
χ394-444-4-44-44-4-440000000000000000000000000000000000002i2−2i2
χ404-444-4-44-44-4-44000000000000000000000000000000000000−2i22i2
χ414-444-4-44-4-444-400000000000000000000000000000000002i2−2i200
χ424-444-4-44-4-444-40000000000000000000000000000000000−2i22i200
χ434-4-444-4-4444-4-4000000000000000000000000000000002i2−2i20000
χ444-4-444-4-4444-4-400000000000000000000000000000000−2i22i20000
χ454-4-444-4-44-4-44400000000000000000000000000000022−22000000
χ464-4-444-4-44-4-444000000000000000000000000000000−2222000000
χ47888-88-8-8-8000000000000000000000000000000000000000000
χ4888-8-8-8-888000000000000000000000000000000000000000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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