Finite Group Databasebeta

← Group #259818

Character table — Group #259818

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-11-1-1-1-111-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111-1-1-1111-1-1-1-1-111111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-111-1-1-1111-1-1-1-1-1-1-11-1-11111-1-1-1-11111
χ7111111111111111111-1-111-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-111-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-111-1-111-11-1-1-111-1-1111-1-111-1-111-1-111-1-1
χ101111111111111111-1-111-1-111-11-1-1-111-1-1-1-1111-1-111-1-111-1-111
χ111111111111111111-1-111-1-111-1-111-1-1-11111-1-1-111-1-1-1-111-1-111
χ121111111111111111-1-111-1-111-1-111-1-1-111-1-1-111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-11-1-111111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11-111111-1-111-1-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-22222-2-2-2-2-20002000000000000000000000
χ18222222222222-2-2-2-222-2-2-2-2222000-2000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-22000-2000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-22222-20002000000000000000000000
χ2122222222-2-2-2-22-22-22-2002-200000002-22-200000000000000000
χ2222222222-2-2-2-22-22-22-2002-20000000-22-2200000000000000000
χ2322222222-2-2-2-22-22-2-2200-2200000002-2-2200000000000000000
χ2422222222-2-2-2-22-22-2-2200-220000000-222-200000000000000000
χ2522222222-2-2-2-2-22-222-200-2200022-20000000-200000000000000
χ2622222222-2-2-2-2-22-222-200-22000-2-220000000200000000000000
χ2722222222-2-2-2-2-22-22-22002-20002-220000000-200000000000000
χ2822222222-2-2-2-2-22-22-22002-2000-22-20000000200000000000000
χ2922-2-2-222-22-22-22-2-22002i−2i002i−2i0000000000002i−2i002-200000000
χ3022-2-2-222-22-22-22-2-22002i−2i002i−2i000000000000−2i2i00-2200000000
χ3122-2-2-222-22-22-22-2-2200−2i2i00−2i2i0000000000002i−2i00-2200000000
χ3222-2-2-222-22-22-22-2-2200−2i2i00−2i2i000000000000−2i2i002-200000000
χ3322-2-2-222-22-22-2-222-2002i−2i00−2i2i0000000002-20002i−2i0000000000
χ3422-2-2-222-22-22-2-222-2002i−2i00−2i2i000000000-22000−2i2i0000000000
χ3522-2-2-222-22-22-2-222-200−2i2i002i−2i0000000002-2000−2i2i0000000000
χ3622-2-2-222-22-22-2-222-200−2i2i002i−2i000000000-220002i−2i0000000000
χ37444-4-4-4-4444-4-40000000000000000000000000000000022−220000
χ38444-4-4-4-4444-4-400000000000000000000000000000000−22220000
χ39444-4-4-4-44-4-4440000000000000000000000000000002i2−2i2000000
χ40444-4-4-4-44-4-444000000000000000000000000000000−2i22i2000000
χ4144-444-4-4-44-4-4400000000000000000000000000000000000022−22
χ4244-444-4-4-44-4-44000000000000000000000000000000000000−2222
χ4344-444-4-4-4-444-4000000000000000000000000000000000022−2200
χ4444-444-4-4-4-444-40000000000000000000000000000000000−222200
χ4544-4-4-444-4-44-4444-4-40000000000000000000000000000000000
χ4644-4-4-444-4-44-44-4-4440000000000000000000000000000000000
χ478-888-88-8-8000000000000000000000000000000000000000000
χ488-88-88-88-8000000000000000000000000000000000000000000
χ498-8-88-8-888000000000000000000000000000000000000000000
χ508-8-8-888-88000000000000000000000000000000000000000000

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